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Popular Calculus Problems

integral of ((2x+8))/((x^2+2x+5)^2)	\int\:\frac{(2x+8)}{(x^{2}+2x+5)^{2}}dx
integral of (7x+x^2)/((x-4)(2x+3)(2x+1))	\int\:\frac{7x+x^{2}}{(x-4)(2x+3)(2x+1)}dx
integral of ln(x+17)	\int\:\ln(x+17)dx
integral of (x+2)/(x(3-x))	\int\:\frac{x+2}{x(3-x)}dx
integral of 5(cos(x))(sin^4(x))	\int\:5(\cos(x))(\sin^{4}(x))dx
integral of sin^4(x)sin(x)	\int\:\sin^{4}(x)\sin(x)dx
integral of 2+sqrt(4-x)	\int\:2+\sqrt{4-x}dx
integral of 5sinh(ln(2)-x/3)	\int\:5\sinh(\ln(2)-\frac{x}{3})dx
integral of (sin(2x))/(e^{-4x)}	\int\:\frac{\sin(2x)}{e^{-4x}}dx
integral of (5x+7)^5	\int\:(5x+7)^{5}dx
integral of log_{e}(3x)	\int\:\log_{e}(3x)dx
integral of (-3)/(2x)	\int\:\frac{-3}{2x}dx
integral of 3/(x^2)sin^2(3/x)	\int\:\frac{3}{x^{2}}\sin^{2}(\frac{3}{x})dx
integral of 6/(sec(x)-1)	\int\:\frac{6}{\sec(x)-1}dx
integral of y^2sin(n)y	\int\:y^{2}\sin(n)ydy
integral of 3/(3-4y)	\int\:\frac{3}{3-4y}dy
integral of \sqrt[3]{6x}	\int\:\sqrt[3]{6x}dx
integral of (x^3-3x+8)cos(x)	\int\:(x^{3}-3x+8)\cos(x)dx
integral of ((x-4))/(x^2+3x+2)	\int\:\frac{(x-4)}{x^{2}+3x+2}dx
integral of (sin(3x)+cos(5x)-sin(x/2))	\int\:(\sin(3x)+\cos(5x)-\sin(\frac{x}{2}))dx
integral of 1/(sqrt(y)-1)	\int\:\frac{1}{\sqrt{y}-1}dy
integral of tan^2(x)+cot^2(x)	\int\:\tan^{2}(x)+\cot^{2}(x)dx
integral of (3x^2)/(cos^2(x^3))	\int\:\frac{3x^{2}}{\cos^{2}(x^{3})}dx
integral of 8/(5xsqrt(25x^2-25))	\int\:\frac{8}{5x\sqrt{25x^{2}-25}}dx
integral of x(x^3+2)^2	\int\:x(x^{3}+2)^{2}dx
integral of 1/((x+3))	integral\:\frac{1}{(x+3)}
integral of 3x^2(x^3+1)^{1/2}	\int\:3x^{2}(x^{3}+1)^{\frac{1}{2}}dx
integral of (-2sin(x))	\int\:(-2\sin(x))dx
integral of 1/(ax^2+x)	\int\:\frac{1}{ax^{2}+x}dx
integral of 6x^2sqrt((2x^3))	\int\:6x^{2}\sqrt{(2x^{3})}dx
integral of (6x^2-3x+5)/((2x-1)(x^2+1))	\int\:\frac{6x^{2}-3x+5}{(2x-1)(x^{2}+1)}dx
integral of (2x^2)/(x+6)	\int\:\frac{2x^{2}}{x+6}dx
integral of sin^2(x)+3	\int\:\sin^{2}(x)+3dx
integral of 1/(x^4sqrt(4x^2-9))	\int\:\frac{1}{x^{4}\sqrt{4x^{2}-9}}dx
integral of-2/(sqrt(81+25t^2))	\int\:-\frac{2}{\sqrt{81+25t^{2}}}dt
integral of (sin(2x))/((1-cos(2x)))	\int\:\frac{\sin(2x)}{(1-\cos(2x))}dx
integral of (pix-x^2)sin(nx)	\int\:(πx-x^{2})\sin(nx)dx
integral of (e^x)/(sqrt(e^{2x)-4e^x+6)}	\int\:\frac{e^{x}}{\sqrt{e^{2x}-4e^{x}+6}}dx
integral of (-x+8)/(x^2-6x+8)	\int\:\frac{-x+8}{x^{2}-6x+8}dx
integral of (-10x^2)/(x^4-1)	\int\:\frac{-10x^{2}}{x^{4}-1}dx
integral of (3x)/(x^2+2x+5)	\int\:\frac{3x}{x^{2}+2x+5}dx
integral of-cos(x)sec(x)	\int\:-\cos(x)\sec(x)dx
integral of 1/(xsqrt(64-x^2))	\int\:\frac{1}{x\sqrt{64-x^{2}}}dx
integral of (3y+8)^5	\int\:(3y+8)^{5}dy
integral of (x^3)/(sqrt(5+x^2))	\int\:\frac{x^{3}}{\sqrt{5+x^{2}}}dx
integral of (1-(x^2)/3)	\int\:(1-\frac{x^{2}}{3})dx
integral of-10x^2+9	\int\:-10x^{2}+9dx
integral of ysqrt(1+2y^2)	\int\:y\sqrt{1+2y^{2}}dy
integral of (-5x^{-2}+1)	\int\:(-5x^{-2}+1)dx
integral of (150+20x)e^{-0.05x}	\int\:(150+20x)e^{-0.05x}dx
integral of xcos((npix)/4)	\int\:x\cos(\frac{nπx}{4})dx
integral of xe^{(x^2+1)}	\int\:xe^{(x^{2}+1)}dx
integral of 6x^3sqrt(3x^4+8)	\int\:6x^{3}\sqrt{3x^{4}+8}dx
integral of 4/(5x^2-3x+10)	\int\:\frac{4}{5x^{2}-3x+10}dx
integral of (2/3 x-1)^{1/2}	\int\:(\frac{2}{3}x-1)^{\frac{1}{2}}dx
integral of tan(y)(tan(y)-sec(y))	\int\:\tan(y)(\tan(y)-\sec(y))dy
integral of e^{r^2}*r	\int\:e^{r^{2}}\cdot\:rdr
integral of (x^2-2x)*x^{-3}	\int\:(x^{2}-2x)\cdot\:x^{-3}dx
integral of-5xcos(9x)	\int\:-5x\cos(9x)dx
integral of (5x^2)/((196+x^2)^2)	\int\:\frac{5x^{2}}{(196+x^{2})^{2}}dx
integral of x^2*10^{x^3}	\int\:x^{2}\cdot\:10^{x^{3}}dx
integral of ((x+5)(x-2))/(sqrt(x))	\int\:\frac{(x+5)(x-2)}{\sqrt{x}}dx
integral of 5sqrt(x)e^{sqrt(x)}	\int\:5\sqrt{x}e^{\sqrt{x}}dx
integral of (x+2)/((x-5)(x+3))	\int\:\frac{x+2}{(x-5)(x+3)}dx
integral of 1/(3^2+x^2)	\int\:\frac{1}{3^{2}+x^{2}}dx
integral of (3x+2)/(x(x+2)^2+16x)	\int\:\frac{3x+2}{x(x+2)^{2}+16x}dx
integral of 3/([x(x+3)])	\int\:\frac{3}{[x(x+3)]}dx
integral of ((x^3-4))/((x^3+2x^2+2x))	\int\:\frac{(x^{3}-4)}{(x^{3}+2x^{2}+2x)}dx
integral of sin^2(5x)*cos^3(5x)	\int\:\sin^{2}(5x)\cdot\:\cos^{3}(5x)dx
integral of x(sqrt(3x+4))	\int\:x(\sqrt{3x+4})dx
integral of e^{(1x)/2}	\int\:e^{\frac{1x}{2}}dx
integral of x^2csch^2(x^3)	\int\:x^{2}\csch^{2}(x^{3})dx
integral of 2xln(x+1)	\int\:2x\ln(x+1)dx
integral of (sqrt(9-t^2))/(2t^2)	\int\:\frac{\sqrt{9-t^{2}}}{2t^{2}}dt
integral of sec^8(x)tan^2(x)	\int\:\sec^{8}(x)\tan^{2}(x)dx
integral of ((10x+11))/(4x^2-4x+5)	\int\:\frac{(10x+11)}{4x^{2}-4x+5}dx
integral of 1/(y(1+2ln(y)))	\int\:\frac{1}{y(1+2\ln(y))}dy
integral of 1/(\sqrt[3]{3-x)}	\int\:\frac{1}{\sqrt[3]{3-x}}dx
integral of 2/(x^{-3)}+1/(sqrt(x))	\int\:\frac{2}{x^{-3}}+\frac{1}{\sqrt{x}}dx
integral of (1+2e^{3x})^3e^{3x}	\int\:(1+2e^{3x})^{3}e^{3x}dx
integral of (x^3+5x^2)sin(3x)	\int\:(x^{3}+5x^{2})\sin(3x)dx
integral of 5xe^{-15x}	\int\:5xe^{-15x}dx
integral of (sinh(x))/((1+cosh(x))^3)	\int\:\frac{\sinh(x)}{(1+\cosh(x))^{3}}dx
integral of x(3x+2)^{3/2}	\int\:x(3x+2)^{\frac{3}{2}}dx
integral of 1/(9x+xln^2(x))	\int\:\frac{1}{9x+x\ln^{2}(x)}dx
integral of ((x+5))/((x^2-6x-15))	\int\:\frac{(x+5)}{(x^{2}-6x-15)}dx
integral of (sec^4(θ))/(tan^5(θ))	\int\:\frac{\sec^{4}(θ)}{\tan^{5}(θ)}dθ
integral of (130)/((x+1)(x^2+9)^2)	\int\:\frac{130}{(x+1)(x^{2}+9)^{2}}dx
integral of (1-cos(4y))/(1+cos(4y))	\int\:\frac{1-\cos(4y)}{1+\cos(4y)}dy
integral of x/(sqrt(9-(x-1)^2))	\int\:\frac{x}{\sqrt{9-(x-1)^{2}}}dx
integral of (8+2w+4w^2)/((w^2+2)^2w)	\int\:\frac{8+2w+4w^{2}}{(w^{2}+2)^{2}w}dw
integral of xsech^2(x^2)	\int\:x\sech^{2}(x^{2})dx
integral of (e^t)/2	\int\:\frac{e^{t}}{2}dt
integral of 4e^{2x}+1/x	\int\:4e^{2x}+\frac{1}{x}dx
integral of 3-7x^2+\sqrt[7]{x}	\int\:3-7x^{2}+\sqrt[7]{x}dx
integral of 1/(sqrt(\sqrt{x+1))}	\int\:\frac{1}{\sqrt{\sqrt{x+1}}}dx
integral of x^{-2}*e^x	\int\:x^{-2}\cdot\:e^{x}dx
integral of e^{-(s+3)t}	\int\:e^{-(s+3)t}dt
integral of (3/(sqrt(x+1)))	\int\:(\frac{3}{\sqrt{x+1}})dx
integral of sin^3(y)cos^2(y)	\int\:\sin^{3}(y)\cos^{2}(y)dy

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