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Popular Calculus Problems

integral of (1/(x^2)-4/(x^3)+2)	\int\:(\frac{1}{x^{2}}-\frac{4}{x^{3}}+2)dx
integral of (5x^2-8x-8)/(5x)	\int\:\frac{5x^{2}-8x-8}{5x}dx
integral of cosh(x/3)	\int\:\cosh(\frac{x}{3})dx
integral of 1/(\sqrt[3]{x-4)}	\int\:\frac{1}{\sqrt[3]{x-4}}dx
integral of tan(6θ)	\int\:\tan(6θ)dθ
integral of (x^2+40x-16)/(x^3-16x)	\int\:\frac{x^{2}+40x-16}{x^{3}-16x}dx
integral of 2/3 e^xsin(x)	\int\:\frac{2}{3}e^{x}\sin(x)dx
integral of (6x^2)/(sqrt(4x^6+4))	\int\:\frac{6x^{2}}{\sqrt{4x^{6}+4}}dx
integral of+cos(3t)sin(3t)	\int\:+\cos(3t)\sin(3t)dt
integral of (2x^2+x-3)/(x^3+2x^2-7x+4)	\int\:\frac{2x^{2}+x-3}{x^{3}+2x^{2}-7x+4}dx
integral of x^2(x-3)^{10}	\int\:x^{2}(x-3)^{10}dx
integral of (x^2)/((x^3-2)^2)	\int\:\frac{x^{2}}{(x^{3}-2)^{2}}dx
integral of sqrt(1-7w^2)	\int\:\sqrt{1-7w^{2}}dw
integral of x^{-4}ln(x)	\int\:x^{-4}\ln(x)dx
integral of 1/(x^2-48)	\int\:\frac{1}{x^{2}-48}dx
integral of (x+7)^2sin(x)	\int\:(x+7)^{2}\sin(x)dx
integral of (4t-8)(t^2-4t+1)^5	\int\:(4t-8)(t^{2}-4t+1)^{5}dt
integral of (x^2-2)^4x	\int\:(x^{2}-2)^{4}xdx
integral of 10^{-2x}	\int\:10^{-2x}dx
integral of 1/(sqrt(2x+a))	\int\:\frac{1}{\sqrt{2x+a}}dx
integral of (x^2+1)/((x+1)(x^2+2x+2))	\int\:\frac{x^{2}+1}{(x+1)(x^{2}+2x+2)}dx
integral of (8x^3-27)/(2x-3)	\int\:\frac{8x^{3}-27}{2x-3}dx
integral of 1/(sqrt(-t^2-6t-5))	\int\:\frac{1}{\sqrt{-t^{2}-6t-5}}dt
integral of 1/(x^2(x-3))	\int\:\frac{1}{x^{2}(x-3)}dx
integral of 85-x	\int\:85-xdx
integral of ((x^4-3xsqrt(x)+2)/x)	\int\:(\frac{x^{4}-3x\sqrt{x}+2}{x})dx
integral of (-13x+3)/((-4x+2)^2)	\int\:\frac{-13x+3}{(-4x+2)^{2}}dx
integral of (x^2-2x)e^{-x}	\int\:(x^{2}-2x)e^{-x}dx
integral of (x+3)/((x^2+x+1)^2)	\int\:\frac{x+3}{(x^{2}+x+1)^{2}}dx
integral of (-3)/(2-3m)	\int\:\frac{-3}{2-3m}dm
integral of (sin^2(x/2))/(1-cos(x/2))	\int\:\frac{\sin^{2}(\frac{x}{2})}{1-\cos(\frac{x}{2})}dx
integral of sin^4(pix)	\int\:\sin^{4}(πx)dx
integral of arctan(3t)	\int\:\arctan(3t)dt
integral of 9/(sec(x)-1)	\int\:\frac{9}{\sec(x)-1}dx
integral of y^2sin(ny)	\int\:y^{2}\sin(ny)dy
integral of (1-x)/((1+x)\sqrt[3]{x)}	\int\:\frac{1-x}{(1+x)\sqrt[3]{x}}dx
integral of (e^{4v})/((1+3e^{4v))^2}	\int\:\frac{e^{4v}}{(1+3e^{4v})^{2}}dv
integral of 2xcos(x/2)	\int\:2x\cos(\frac{x}{2})dx
integral of ((sin(x))/(1+tan(x)))^2	\int\:(\frac{\sin(x)}{1+\tan(x)})^{2}dx
integral of csc^2(2ax)	\int\:\csc^{2}(2ax)dx
integral of (t^2+4t)(t^3+6t^2)^6	\int\:(t^{2}+4t)(t^{3}+6t^{2})^{6}dt
integral of tan^3(3x)sec^3(3x)	\int\:\tan^{3}(3x)\sec^{3}(3x)dx
integral of sin^2(3θ)cos^2(3θ)	\int\:\sin^{2}(3θ)\cos^{2}(3θ)dθ
integral of xe^{-inpix}	\int\:xe^{-inπx}dx
integral of 1/(sqrt(1+8x))	\int\:\frac{1}{\sqrt{1+8x}}dx
integral of sec^4(a)x	\int\:\sec^{4}(a)xdx
integral of (x+7)/(x^2+2x)	\int\:\frac{x+7}{x^{2}+2x}dx
integral of (3y-4)^3	\int\:(3y-4)^{3}dy
integral of ln^2(3/x)	\int\:\ln^{2}(\frac{3}{x})dx
integral of (3x^3+4x-7)	\int\:(3x^{3}+4x-7)dx
integral of sqrt(x)+2x	\int\:\sqrt{x}+2xdx
integral of (sec(x)tan(x))/(3+2sec(x))	\int\:\frac{\sec(x)\tan(x)}{3+2\sec(x)}dx
integral of 8^{sin(θ)}cos(θ)	\int\:8^{\sin(θ)}\cos(θ)dθ
integral of (5x-1)sqrt(x+2)	\int\:(5x-1)\sqrt{x+2}dx
integral of sin(sqrt(y))	\int\:\sin(\sqrt{y})dy
integral of xe^{-11x}	\int\:xe^{-11x}dx
integral of (e^x)/(x^2)*e^x+2x	\int\:\frac{e^{x}}{x^{2}}\cdot\:e^{x}+2xdx
integral of 1/((2x+1)^2+9)	\int\:\frac{1}{(2x+1)^{2}+9}dx
integral of 1/(sqrt(x^2+x-1))	\int\:\frac{1}{\sqrt{x^{2}+x-1}}dx
integral of 21(3x+4)^6	\int\:21(3x+4)^{6}dx
integral of tan^{(-3)/2}(x)sec^4(x)	\int\:\tan^{\frac{-3}{2}}(x)\sec^{4}(x)dx
integral of sin(t)e^{cos(t)}	\int\:\sin(t)e^{\cos(t)}dt
integral of 1/(y^{1/2)+y^{1/3}}	\int\:\frac{1}{y^{\frac{1}{2}}+y^{\frac{1}{3}}}dy
integral of (tan^3(sqrt(x)))/(sqrt(x))	\int\:\frac{\tan^{3}(\sqrt{x})}{\sqrt{x}}dx
integral of sqrt(1+8x^2)	\int\:\sqrt{1+8x^{2}}dx
integral of t(sqrt(4-t^2))	\int\:t(\sqrt{4-t^{2}})dt
integral of ((x-1))/(x(x+1)^2)	\int\:\frac{(x-1)}{x(x+1)^{2}}dx
integral of (x^5)/(\sqrt[7]{ax^6+2)}	\int\:\frac{x^{5}}{\sqrt[7]{ax^{6}+2}}dx
integral of (y-8)/(y^2-y-6)	\int\:\frac{y-8}{y^{2}-y-6}dy
integral of cot(x)sin(x)	\int\:\cot(x)\sin(x)dx
integral of 2/((x+2)(x-1)^2)	\int\:\frac{2}{(x+2)(x-1)^{2}}dx
integral of (3y)/(sqrt(2y^2+5y))	\int\:\frac{3y}{\sqrt{2y^{2}+5y}}dy
integral of (x^3-2x+1)sin(4x)	\int\:(x^{3}-2x+1)\sin(4x)dx
integral of (6-z^2)/(2z^2+z-21)	\int\:\frac{6-z^{2}}{2z^{2}+z-21}dz
integral of sin(3x)e^{3x+1}	\int\:\sin(3x)e^{3x+1}dx
integral of 3pi	\int\:3πdx
integral of cos^{3/2}(x)sin^5(x)	\int\:\cos^{\frac{3}{2}}(x)\sin^{5}(x)dx
integral of (3x^4y^2)/(sqrt(9y^2-4x^2))	\int\:\frac{3x^{4}y^{2}}{\sqrt{9y^{2}-4x^{2}}}dy
integral of 6/((x+5)^3)	\int\:\frac{6}{(x+5)^{3}}dx
integral of 1/(1+x^2)+(12)/(sqrt(1-x^2))	\int\:\frac{1}{1+x^{2}}+\frac{12}{\sqrt{1-x^{2}}}dx
integral of (6x+8)/((x+3)(x+5)(x-2))	\int\:\frac{6x+8}{(x+3)(x+5)(x-2)}dx
integral of (5-e^{2x})^2	\int\:(5-e^{2x})^{2}dx
integral of 1/(sqrt(4z+z^2))	\int\:\frac{1}{\sqrt{4z+z^{2}}}dz
integral of 15xln(1+x)	\int\:15x\ln(1+x)dx
integral of tan^5(2x)sec^8(2x)	\int\:\tan^{5}(2x)\sec^{8}(2x)dx
integral of+sqrt(xy-y^2)	\int\:+\sqrt{xy-y^{2}}dx
integral of 1-(x-3)^2	\int\:1-(x-3)^{2}dx
integral of (9y+14)/((y-2)(y^2+4))	\int\:\frac{9y+14}{(y-2)(y^{2}+4)}dy
integral of 2x(x^2-3x+4)	\int\:2x(x^{2}-3x+4)dx
integral of 16csch^2(x)coth(x)	\int\:16\csch^{2}(x)\coth(x)dx
integral of 4x^3(x^2+1)^{65}	\int\:4x^{3}(x^{2}+1)^{65}dx
integral of 1/(cos^2(x)sin^4(x))	\int\:\frac{1}{\cos^{2}(x)\sin^{4}(x)}dx
integral of (x-5)/((x+1)(x-2))	\int\:\frac{x-5}{(x+1)(x-2)}dx
integral of tan^{10}(x)sec^4(x)	\int\:\tan^{10}(x)\sec^{4}(x)dx
integral of 8/(sec(x)-1)	\int\:\frac{8}{\sec(x)-1}dx
integral of 1/(x(x^{100)+1)}	\int\:\frac{1}{x(x^{100}+1)}dx
integral of (4x+3)sqrt(1+2x)	\int\:(4x+3)\sqrt{1+2x}dx
integral of x^3sin(1/3)x	\int\:x^{3}\sin(\frac{1}{3})xdx
integral of 5/(e^{-x)}	\int\:\frac{5}{e^{-x}}dx
integral of 1/(sqrt(a+bx))	\int\:\frac{1}{\sqrt{a+bx}}dx

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