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Popular Calculus Problems

integral of e^x(1-(e^{-x})/x)	\int\:e^{x}(1-\frac{e^{-x}}{x})dx
integral of 9/(θ^2)cos(9/θ)	\int\:\frac{9}{θ^{2}}\cos(\frac{9}{θ})dθ
integral of (sin(2x))/(40+cos^2(x))	\int\:\frac{\sin(2x)}{40+\cos^{2}(x)}dx
integral of 1/((x^2+6x+10)^{3/2)}	\int\:\frac{1}{(x^{2}+6x+10)^{\frac{3}{2}}}dx
integral of 1/((2x+1)sqrt(4x^2+4x))	\int\:\frac{1}{(2x+1)\sqrt{4x^{2}+4x}}dx
integral of (sin^4(x))/(cos(x))	\int\:\frac{\sin^{4}(x)}{\cos(x)}dx
integral of (y^{3/2})/(2sqrt(x))	\int\:\frac{y^{\frac{3}{2}}}{2\sqrt{x}}dx
integral of (e^x+sin(x))^2	\int\:(e^{x}+\sin(x))^{2}dx
integral of x/(sqrt((x^2+2x+10)^3))	\int\:\frac{x}{\sqrt{(x^{2}+2x+10)^{3}}}dx
integral of sin(t)sin(t)	\int\:\sin(t)\sin(t)dt
integral of (sin^5(t))/(sqrt(cos(t)))	\int\:\frac{\sin^{5}(t)}{\sqrt{\cos(t)}}dt
integral of-sin(x)cos^4(x)	\int\:-\sin(x)\cos^{4}(x)dx
integral of 8sqrt(1-x^2)	\int\:8\sqrt{1-x^{2}}dx
integral of 5/11 x^{11/6}+C	\int\:\frac{5}{11}x^{\frac{11}{6}}+Cdx
integral of 2/(2-3x)	\int\:\frac{2}{2-3x}dx
integral of 7xe^{-3x}	\int\:7xe^{-3x}dx
integral of (sinh(x)-2e^x)	\int\:(\sinh(x)-2e^{x})dx
integral of 5sec(4x)tan(4x)	\int\:5\sec(4x)\tan(4x)dx
integral of (2x-5)sin(x)	\int\:(2x-5)\sin(x)dx
integral of 1/(x^5+x^4)	\int\:\frac{1}{x^{5}+x^{4}}dx
integral of ((8*x+5))/((x^2+1))	\int\:\frac{(8\cdot\:x+5)}{(x^{2}+1)}dx
integral of csc^4(5x)	\int\:\csc^{4}(5x)dx
integral of sqrt(1-x)x^2	\int\:\sqrt{1-x}x^{2}dx
integral of x/((x^2+3))	\int\:\frac{x}{(x^{2}+3)}dx
integral of 7cos(7x)	\int\:7\cos(7x)dx
integral of (x^2-x)/((x+1)(x^2+1))	\int\:\frac{x^{2}-x}{(x+1)(x^{2}+1)}dx
integral of (e^{5x})/(2+e^{5x)}	\int\:\frac{e^{5x}}{2+e^{5x}}dx
integral of x^3sin(ax)	\int\:x^{3}\sin(ax)dx
integral of-3x^8+4/(x-7)	\int\:-3x^{8}+\frac{4}{x-7}dx
integral of 1/(sqrt(x)(\sqrt{x)+1)^4}	\int\:\frac{1}{\sqrt{x}(\sqrt{x}+1)^{4}}dx
integral of (sqrt(x)-3x)/(x^2)	\int\:\frac{\sqrt{x}-3x}{x^{2}}dx
integral of 1/(sqrt(3x^2-1))	\int\:\frac{1}{\sqrt{3x^{2}-1}}dx
integral of cos(x)(2+sin(x))^3	\int\:\cos(x)(2+\sin(x))^{3}dx
integral of e^{-2at}	\int\:e^{-2at}dt
integral of (sqrt(x-4))^2	\int\:(\sqrt{x-4})^{2}dx
integral of (tan(x))/(cos(2x))	\int\:\frac{\tan(x)}{\cos(2x)}dx
integral of ((x-4))/(x^2)	\int\:\frac{(x-4)}{x^{2}}dx
integral of 5x^4sqrt(x^5+3)	\int\:5x^{4}\sqrt{x^{5}+3}dx
integral of (cos(2x))/(1-sin(2x))	\int\:\frac{\cos(2x)}{1-\sin(2x)}dx
integral of 3/4 x^3	\int\:\frac{3}{4}x^{3}dx
integral of e^{-3x}x^2	\int\:e^{-3x}x^{2}dx
integral of xe^{2x-1}	\int\:xe^{2x-1}dx
integral of 1/(x*ln^3(x))	\int\:\frac{1}{x\cdot\:\ln^{3}(x)}dx
integral of x^3ln(9x^2)	\int\:x^{3}\ln(9x^{2})dx
integral of 1/(xln(x)ln(ln(x)))	\int\:\frac{1}{x\cdot\:\ln(x)\cdot\:\ln(\ln(x))}dx
integral of (4sin(x)+2csc^2(x)+4)	\int\:(4\sin(x)+2\csc^{2}(x)+4)dx
integral of 1-4x	\int\:1-4xdx
integral of (50x+10x^3)/(10x^2+x^4)	\int\:\frac{50x+10x^{3}}{10x^{2}+x^{4}}dx
integral of sin^2(10x)cos^3(10x)	\int\:\sin^{2}(10x)\cos^{3}(10x)dx
integral of-2z	\int\:-2zdz
integral of (3^x)^3	\int\:(3^{x})^{3}dx
integral of 2te^{3t}	\int\:2te^{3t}dt
integral of 1/((3x+2))	\int\:\frac{1}{(3x+2)}dx
integral of 1/((arctan(y/3))(9+y^2))	\int\:\frac{1}{(\arctan(\frac{y}{3}))(9+y^{2})}dy
integral of 3r^2e^{r^3}	\int\:3r^{2}e^{r^{3}}dr
integral of 3sqrt(121-x^2)	\int\:3\sqrt{121-x^{2}}dx
integral of (x^3)/(1+4x^2)	\int\:\frac{x^{3}}{1+4x^{2}}dx
integral of 1/(sqrt(4-(x-2)^2))	\int\:\frac{1}{\sqrt{4-(x-2)^{2}}}dx
integral of (tan(pi/x))/(x^2)	\int\:\frac{\tan(\frac{π}{x})}{x^{2}}dx
integral of (2x)/(sqrt(x^2+9))	\int\:\frac{2x}{\sqrt{x^{2}+9}}dx
integral of (x^3+x+5)e^{2x}	\int\:(x^{3}+x+5)e^{2x}dx
integral of x^3+cos(x)	\int\:x^{3}+\cos(x)dx
integral of x/(x^2-2x-15)	\int\:\frac{x}{x^{2}-2x-15}dx
integral of sqrt((x^2-6)/(x^8))	\int\:\sqrt{\frac{x^{2}-6}{x^{8}}}dx
integral of 27x^7+3x^5-45x^3+sqrt(2)x	\int\:27x^{7}+3x^{5}-45x^{3}+\sqrt{2}xdx
integral of 6e^x+6	\int\:6e^{x}+6dx
integral of x^5	integral\:x^{5}
integral of cos^3(3x)-cos(3x)	\int\:\cos^{3}(3x)-\cos(3x)dx
integral of 1/(sqrt(1+16x^2))	\int\:\frac{1}{\sqrt{1+16x^{2}}}dx
integral of (x^3)/(x^4cos^2(ln(x)))	\int\:\frac{x^{3}}{x^{4}\cos^{2}(\ln(x))}dx
integral of ((x^3+5x^2-4)/(x^2))	\int\:(\frac{x^{3}+5x^{2}-4}{x^{2}})dx
integral of ((ln^5(x)))/x	\int\:\frac{(\ln^{5}(x))}{x}dx
integral of (e^{-ln(x)})/x	\int\:\frac{e^{-\ln(x)}}{x}dx
integral of-3log_{3}(x)	\int\:-3\log_{3}(x)dx
integral of e^{-(2x)/a}	\int\:e^{-\frac{2x}{a}}dx
integral of sec^4(θ)tan^3(θ)	\int\:\sec^{4}(θ)\tan^{3}(θ)dθ
integral of 1/(4x+x^2)	\int\:\frac{1}{4x+x^{2}}dx
integral of (9x^3-8x+6)/(x^3-x^2)	\int\:\frac{9x^{3}-8x+6}{x^{3}-x^{2}}dx
integral of (csc^2(ln(x)))/x	\int\:\frac{\csc^{2}(\ln(x))}{x}dx
integral of-1/(x^2+9)	\int\:-\frac{1}{x^{2}+9}dx
integral of 6xln(7x)	\int\:6x\ln(7x)dx
integral of csc^2(y)+1	\int\:\csc^{2}(y)+1dy
integral of (10x^3-4x^2+2x-1)	\int\:(10x^{3}-4x^{2}+2x-1)dx
integral of (sin(t^2))	\int\:(\sin(t^{2}))dt
integral of t^2cos(npit)	\int\:t^{2}\cos(nπt)dt
integral of e^{-x}sinh(x)	\int\:e^{-x}\sinh(x)dx
integral of cos(c)	\int\:\cos(c)
integral of 4((ln(x))^2)/x	\int\:4\frac{(\ln(x))^{2}}{x}dx
integral of (x^2)/((x-2)^{10)}	\int\:\frac{x^{2}}{(x-2)^{10}}dx
integral of sqrt(1/(1+x^2))	\int\:\sqrt{\frac{1}{1+x^{2}}}dx
integral of (2^x-3^x)^2	\int\:(2^{x}-3^{x})^{2}dx
integral of (1/(sin^2(x))+1)in(x)	\int\:(\frac{1}{\sin^{2}(x)}+1)d\sin(x)dx
integral of ((1+x)/(1+x^2))	\int\:(\frac{1+x}{1+x^{2}})dx
integral of-5/3 x^{-31}	\int\:-\frac{5}{3}x^{-31}dx
integral of 3/(xln(7x))	\int\:\frac{3}{x\ln(7x)}dx
integral of 5^{x^4}x^3	\int\:5^{x^{4}}x^{3}dx
integral of 5/(sqrt(2x+1))	\int\:\frac{5}{\sqrt{2x+1}}dx
integral of-x^2+5x-6	\int\:-x^{2}+5x-6dx
integral of (3e^x)/(1+e^x)	\int\:\frac{3e^{x}}{1+e^{x}}dx
integral of (6(sin(2x))/(sin(x)))	\int\:(6\frac{\sin(2x)}{\sin(x)})dx

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