Upload integration_problem_set.json

integration_problem_set.json

@@ -0,0 +1,2857 @@
+[
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\nxtan(x)\ncos2(x)\n dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\nxsin2(x)cot2(x)\ncos4(x)\n dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bxsin(3x)cos(2x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bx2sin(x)cos(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b4xcos(2\u22123x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b06(2+5x)e13xdx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b(3t+t2)sin(2t)dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b6tan\u22121(8w)dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222be2zcos(14z)dz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u03c00x2cos(4x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222bt7sin(2t4)dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222by6cos(3y)dy"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b(4x3\u22129x2+7x+3)e\u2212xdx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b−21\u222b0√4−y2xy2dxdy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b02\u222b y 1x2ydxdy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b01\u222b01xydxdy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b03\u222b023x2y3dxdy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b04\u222b15(y2+3x2)dxdy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b12\u222b01x2ydxdy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b04\u222b04e(4x+5y)dxdy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b02π\u222b0√5√4+r2rdrdθ"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b0 π \u222b01+cos(θ)sin(θ)rrdrdθ"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b02π\u222b01\u222b44r2cos(θ)r2dzdrdθ"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b02\u222by22y\u222b−√z√zxdxdzdy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b02π\u222b01\u222b9r28−9r2r2dzdrdθ"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b02π\u222b0 \u222b04−9r2r2dzdrdθ"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b04\u222b−44\u222b0y21dzdydx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b02π\u222b1√2\u222br2−r2(2−2r2)rdzdrdθ"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b0π\u222b01\u222b0−(−1+r)r2zdzdrdθ"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b01\u222b√z1\u222bzx2(5+4x)dydxdz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b01\u222b0ln(8)\u222b0ln(16)30e−x−y−zdzdydx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b02π\u222b00.4636\u222b02sin(φ)p2dpdφdθ"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b8te7tdt\u222b8te7tdt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b2\u03c0\u03c0(1\u22123x)sin(12x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b2\u22121w2e4wdw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b31(2\u2212x)2ln(4x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b(6+3z)cos(1+4z)dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b2y2cos(9y)dy"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b(3z+z2)sin(z)dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b\u221ax3ln(3\u221ax)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b(2w2\u2212w)e7w\u22121dw"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b9tsec2(2t)dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u03c080e\u2212xsin(4x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b8tan\u22121(2y)dy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222be6tcos(2t)dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u22123sin\u22121(10x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222be3\u2212zsin(2+z)dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b0\u221212x17e1+x9dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b9t11cos(1\u2212t6)dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222bx7\u221ax4+1dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222b(5+x4)sin(12x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b2z5e1\u2212zdz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b(5+2w3\u2212w5)cos(3w)dw"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222b9z2\u221212zdz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222b7xx2+14x+40dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222b408y\u221212y2\u221215y\u22128dy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222b9\u2212w2(w+1)(3w\u22125)(w+4)dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b8112z3\u22122z2\u221263zdz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b7x+2x2(x\u22124)(2x+3)(2x+1)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b4x+10(x\u22122)(x\u22121)2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b2124t4\u22126t3dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b10z+2(z+1)2(z\u22123)2dz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222b8w+w2(w\u22127)(w2+16)dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b6y\u22127(2y+1)(4y2+1)dy"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b8t3\u22125t2+72t\u221210(t2+2)(t2+9)dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222b16w3+6w2+12w+21(w2+9)(4w2+3)dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bx4+5x3+20x+16x(x2+4)2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b6\u2212z22z2+z\u221221dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b4x3\u2212xx2\u2212x\u221230dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b8\u2212t3(t\u22123)(t+1)2dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bx6\u22126x5+3x4\u221210x3\u22129x2+12x\u221227x4+3x2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b4x2+5x\u221214dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b8\u22123t10t2+13t\u22123dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b0\u22121w2+7w(w+2)(w\u22121)(w\u22124)dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b83x3+7x2+4xdx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b423z2+1(z+1)(z\u22125)2dz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222b4x\u221211x3\u22129x2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bz2+2z+3(z\u22126)(z2+4)dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b8+t+6t2\u221212t3(3t2+4)(t2+7)dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222b6x2\u22123x(x\u22122)(x+4)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222b2+w4w3+9wdw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a4\u22129z24dz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a13+25x213+25x2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b(7t2\u22123)52dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a4(9t\u22125)2+14(9t\u22125)2+1dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a1\u22124z\u22122z2dz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b(x2\u22128x+21)32dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221ae8x\u22129dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221ax2+16x4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a1\u22127w2dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bt3(3t2\u22124)52dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u22125\u221272y4\u221ay2\u221225dy"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b412z5\u221a2+9z2dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b1\u221a9x2\u221236x+37dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b(z+3)5(40\u22126z\u2212z2)32dz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(x)\u221a9+25sin2(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a64t2+164t2+1dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a4z2\u221249dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a7\u2212w2dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b(16\u221281x2)72dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a6+9y2dy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b(1\u22128z2)32dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a9\u221216(3x\u22121)2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b(11+(t2+1)2)52dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a144(z+8)2\u22123dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a4x2\u221224x+43dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b(2z2\u221224z+36)112dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a\u22124\u221210t\u22125t2dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a9sin2(4t)\u22121dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a36\u22129e3zdz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221ax+16dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b3x5\u221a16\u2212x2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bt3(25+81t2)52dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b140w3\u221a1\u22129w2dw"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bz5(9z2\u221225)32dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u22121\u22123y3\u221a49y2\u22124dy"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b515x2\u221ax2+4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a3\u22124t2t2dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bw5\u221a8w2+1dw"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221ax2\u221215x3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b2(x\u22123)6\u221a\u2212x2+6x\u22125dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b1(z+1)2(2z2+4z\u221234)32dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u221a4y2\u221216y+19(y\u22122)6dy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b129(t\u22124)3\u221at2\u22128t+7dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b60\u221a5x2+10x+6dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx7\u221a9\u2212x4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222be12t\u221a4e6t\u22121dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin(z)cos3(z)\u221a16+cos2(z)dz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e0(1+2x)e\u2212xdx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b0\u2212\u221e(1+2x)e\u2212xdx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b1\u22125110+2zdz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b214w3\u221aw2\u22124dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b1\u2212\u221e\u221a6\u2212ydy"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e29(1\u22123z)4dz"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222b40xx2\u22129dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e\u2212\u221e6w3(w4+1)2dw"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222b411x2+x\u22126dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b0\u2212\u221ee1xx2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e42\u22124x+6x2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b5014w\u221220dw"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b2\u2212136\u221a4\u22122zdz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b0\u2212\u221exe2+3xdx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e0xe2+3xdx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e21x2+1dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b301z2\u22124zdz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b1\u2212\u221exx2+1dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b2\u221211y2\u22122y\u22123dy"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b0\u2212\u221ecos(w)dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e101(5\u22122z)2dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e\u2212\u221ez3z4+1dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b4112y\u22126dy"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b5113\u221aw\u22122dw"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b1\u22122e1xx2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e\u2212\u221ex2ex3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e\u2212\u221ey(y2+1)3dy"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b30w3\u221a9\u2212w2dw"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b1\u221231w2+2wdw"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e0e1xx2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e01z[ln(z)]2dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222b\u221e01w\u22121dw"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bsin3(23x)cos4(23x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bsin8(3z)cos5(3z)dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bcos4(2t)dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222b2\u03c0\u03c0cos3(12w)sin5(12w)dw"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bsec6(3y)tan2(3y)dy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222btan3(6x)sec10(6x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222b\u03c040tan7(z)sec3(z)dz"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bcos(3t)sin(8t)dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222b31sin(8x)sin(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bcot(10z)csc4(10z)dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bcsc6(14w)cot4(14w)dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bsec4(2t)tan9(2t)dt"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222b2+7sin3(z)cos2(z)dz"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222b[9sin5(3x)\u22122cos3(3x)]csc4(3x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos5(2t)sin2(2t)dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos3(12x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos2(z)sin4(z)dz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u03c0\u03c03sin5(34w)cos6(34w)dw"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u03c00cos11(5z)sin3(5z)dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin2(7x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u03c060tan3(8x)sec3(8x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsec8(12t)tan5(12t)dt"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsec2(9z)tan3(9z)dz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b\u03c03\u03c04sec6(10t)tan4(10t)dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222btan12(2w)sec6(2w)dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcot2(3x)csc6(3x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b2\u03c03\u03c03csc3(14w)cot3(14w)dw"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcsc4(6w)dw"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcsc12(x)cot5(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcot(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcot3(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcsc(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcsc3(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b4\u22122sin(8x)cos(15x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(2x)cos(24x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin(13z)sin(9z)dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos5(2t)sin3(2t)dt"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin3(2\u2212x)cos2(2\u2212x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsec6(12z)tan8(12z)dz"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222btan5(x)sec2(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b1+9cos5(8w)sin2(8w)dw"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b(3+7cos3(x))sin2(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin3(9y)sec2(9y)dy"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222btan5(z)cos5(z)dz"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222b[tan(2t)\u2212sin3(2t)]sec3(2t)dt"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bsec(x)^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u221a4+x2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u221a1+4x2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u221a1+x2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u221a25+x2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u221ax2+9dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u221ax2+4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u221ax2+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u221a49+x2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b\n1\n3\n dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b0.5dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b\n20\n16\n dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b\n1\n2\n dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b\n3\n4\n dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b\n1\n4\n dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b2.4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b\u2212\n1\n7\n dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222b\ncos2(x)\nsin2(x)"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b\u2212\n2\n3\n dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b1.8dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx\u221218dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx\u22125dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx\u22123dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222by\u2212\n1\n2\n dy"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx\u2212\n3\n12\n dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222by\u22122dy"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx\u22124dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx\u2212\n1\n3\n dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222by\u22126dy"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx\u2212\n1\n5\n dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b5xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b2xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b11xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b3x2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b4xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b5x2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b14xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b18xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b10x3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b5x7dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx\u22123dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b6x\u22128dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b15x\u22122dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b3x\u221211dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx6\u221216xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b(13\u2212x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b(2x\u22123x2)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx2\u22121dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b4\u2212x2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b5x4\u22124x5dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222baxdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b2bxdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bkx+4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b3ardr"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b(ax+xa)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b(nx\u2212nx)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bat\u2212t5dt"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bax\u22125xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b6bxdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bax+4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bsin(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b2sin(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b\u2212sin(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b10sin(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b5sin(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b9sin(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b\u221214sin(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b6sin(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b12sin(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222b(\u22124sin(x))dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u221a9+4x2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\u221a1+16x2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bxsin(x)cos(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bxsin(2x)cos(3x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222b\n2xsin(x)\ncos3(x)"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bsec(x)+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bln(x)^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bcos(x)-3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222bcos(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bx^3^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222bln(x)^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bln(x)*4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bx^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222bx^3^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222bsin(x)-3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222bln(x)^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bsec(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bsec(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222bsin(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bx^3-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bsin(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222be^x*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222btan(x)^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222be^x*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222bx^3+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bsin(x)*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222btan(x)^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bln(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222bx^2^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bx^2^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222be^x^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bx^2*4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222btan(x)*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222btan(x)^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(x)*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bsec(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222btan(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222be^x^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx^3^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222btan(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222be^x^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222be^xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bln(x)^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bcos(x)^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222btan(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222bsec(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bx^3+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222btan(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222be^x+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222be^x^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222bcos(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222bcos(x)*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222be^x^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222bsec(x)^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx^2-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bcos(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222bln(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222btan(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222btan(x)+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222btan(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222be^x^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bsin(x)*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bx^2^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222btan(x)+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222bcos(x)*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bln(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222bln(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx^3*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222be^x-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bln(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bsin(x)+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bln(x)^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222be^xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222btan(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222btan(x)^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx^3+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222bln(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222bsin(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bx^3*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222be^x^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222btan(x)+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsec(x)+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx^2*4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bsin(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222btan(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bsec(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bsin(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx^2^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222bsin(x)^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin(x)^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222btan(x)*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bsin(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222bx^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222bsec(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222be^x^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222be^x-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bln(x)+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222bx^3^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222be^xdx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bln(x)*4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222bx^3*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bx^3^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bx^2-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222bx^3+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bcos(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222btan(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222bsin(x)^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222be^x-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222bsec(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bx^3^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bln(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222bsec(x)*4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222be^x+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bln(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bsin(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bx^2-3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222btan(x)*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222bx^2*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222bx^3^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bx^3-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222bx^2^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bcos(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222btan(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bcos(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222bx^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222btan(x)+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(x)^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx^3-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bln(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bln(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222bln(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx^2^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222bx^2*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222bsec(x)*4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bsin(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bsin(x)*4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222bcos(x)^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222bsin(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222bcos(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222bx^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bsec(x)*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx^3^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bx^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bsin(x)^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bln(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222btan(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bln(x)^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222bsin(x)+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin(x)+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bln(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222btan(x)*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222btan(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222bcos(x)^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222btan(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222btan(x)-3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bln(x)*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222btan(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222bsec(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222btan(x)*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bx^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222be^xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bcos(x)^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222bsin(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bsec(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222bsin(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222bx^3*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222be^x*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222btan(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222btan(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bx^3^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(x)^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222be^x*4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222btan(x)+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bx^2+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bcos(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bsin(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bx^2^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsec(x)+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222btan(x)+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222bcos(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bsec(x)^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222be^x-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222bsec(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222be^x^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222be^xdx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bln(x)*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222bsin(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222be^x+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bsin(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bx^3^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222btan(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bln(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222btan(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222be^x^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bx^2-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222btan(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bx^2+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222bln(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bcos(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bsin(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222bcos(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bx^3^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222bcos(x)*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bx^2*4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bx^2^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bsin(x)dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222bx^2+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bln(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bx^2-3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222bln(x)+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222bcos(x)*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bsec(x)^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bx^3^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222be^x+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222bln(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bln(x)*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx^2*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222be^x*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222be^x-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222bcos(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222be^xdx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bsin(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222btan(x)^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222bcos(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bsec(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222bsin(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222be^x^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bx^3^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bsec(x)+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222bln(x)^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222bln(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bcos(x)*4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222bx^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222bcos(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bln(x)+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bsin(x)*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222be^x+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bsec(x)^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx^3*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222bsin(x)^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsec(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bsec(x)^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx^3^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bln(x)^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222btan(x)*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bx^3*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222bsin(x)^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222btan(x)*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin(x)dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222be^x^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222be^x^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin(x)^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(x)^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Power Rule",
+        "question": "\u222bln(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222be^x*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bcos(x)^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bsin(x)*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222btan(x)*4dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222be^x^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Constant Rule",
+        "question": "\u222bln(x)^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bx^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222bln(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222be^x+2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Integration by Parts",
+        "question": "\u222bx^2^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222btan(x)-3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bln(x)*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Trigonometric Substitution",
+        "question": "\u222bcos(x)^2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bx^2^3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Partial Fractions",
+        "question": "\u222btan(x)+2dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Multiple Integrals",
+        "question": "\u222be^x*4dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222be^x*4dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bx^3^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222btan(x)^2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Constant Rule",
+        "question": "\u222btan(x)^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bln(x)^3dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Multiple Integrals",
+        "question": "\u222bsec(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Power Rule",
+        "question": "\u222bsec(x)dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Constant Rule",
+        "question": "\u222bcos(x)+2dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bcos(x)^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Integration by Parts",
+        "question": "\u222bx^3^3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bsin(x)^2dx"
+    },
+    {
+        "difficulty": "Basic",
+        "category": "Partial Fractions",
+        "question": "\u222bsec(x)-3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Partial Fractions",
+        "question": "\u222bln(x)-3dx"
+    },
+    {
+        "difficulty": "Advanced",
+        "category": "Integration by Parts",
+        "question": "\u222bln(x)-3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Power Rule",
+        "question": "\u222bcos(x)-3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222be^x-3dx"
+    },
+    {
+        "difficulty": "Moderate",
+        "category": "Multiple Integrals",
+        "question": "\u222bln(x)+2dx"
+    }
+]