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Popular Calculus Problems

integral of 1/2 e^y	\int\:\frac{1}{2}e^{y}dy
integral of (17x)/(\sqrt[3]{6x^2+8)}	\int\:\frac{17x}{\sqrt[3]{6x^{2}+8}}dx
integral of ((sec^2(sqrt(x))))/(sqrt(x))	\int\:\frac{(\sec^{2}(\sqrt{x}))}{\sqrt{x}}dx
integral of (x^2-4)^2	\int\:(x^{2}-4)^{2}dx
integral of (9x)/(3x^2+1)	\int\:\frac{9x}{3x^{2}+1}dx
integral of 30(1+x^2)(7+15x+5x^3)^{12}	\int\:30(1+x^{2})(7+15x+5x^{3})^{12}dx
integral of sqrt(cos^2(2x))	\int\:\sqrt{\cos^{2}(2x)}dx
integral of (4x^2+1)	\int\:(4x^{2}+1)dx
integral of 5e^{-t}	\int\:5e^{-t}dt
integral of 16x^3ln(7x)	\int\:16x^{3}\ln(7x)dx
integral of 5/(4+x^2)	\int\:\frac{5}{4+x^{2}}dx
integral of 6/(3x^2-2x-8)	\int\:\frac{6}{3x^{2}-2x-8}dx
integral of e^x*cos(e^x)	\int\:e^{x}\cdot\:\cos(e^{x})dx
integral of yze^{xyz}	\int\:yze^{xyz}dx
integral of 10xln(x)	\int\:10x\ln(x)dx
integral of-6e^x	\int\:-6e^{x}dx
integral of (y^2)/(sqrt(16-4y^2))	\int\:\frac{y^{2}}{\sqrt{16-4y^{2}}}dy
integral of ((x^3-4x))/(3x)	\int\:\frac{(x^{3}-4x)}{3x}dx
integral of (3-x)/(sqrt(16+6x-x^2))	\int\:\frac{3-x}{\sqrt{16+6x-x^{2}}}dx
integral of (2x-1)^2sin(x)	\int\:(2x-1)^{2}\sin(x)dx
integral of (x^2-2)/x	\int\:\frac{x^{2}-2}{x}dx
integral of (sin(x))/x)	\int\:d(\frac{\sin(x)}{x})dx
integral of (2x^3-x)/((x^4-x^2)^5)	\int\:\frac{2x^{3}-x}{(x^{4}-x^{2})^{5}}dx
integral of 1/(sqrt(-5w^2+22w-8))	\int\:\frac{1}{\sqrt{-5w^{2}+22w-8}}dw
integral of (x^{1.6}+9x^{3.5})	\int\:(x^{1.6}+9x^{3.5})dx
integral of ((e^{2x}))/2	\int\:\frac{(e^{2x})}{2}dx
integral of x/(x^2+1)	integral\:\frac{x}{x^{2}+1}
integral of ((x^3))/(1+x^8)	\int\:\frac{(x^{3})}{1+x^{8}}dx
integral of 1/(sqrt(x)\sqrt[3]{x)}	\int\:\frac{1}{\sqrt{x}\sqrt[3]{x}}dx
integral of-2zsin(2z)+cos(2z)	\int\:-2z\sin(2z)+\cos(2z)dz
integral of (sin(x/2))^2	\int\:(\sin(\frac{x}{2}))^{2}dx
integral of-4x^2e^{x^3}	\int\:-4x^{2}e^{x^{3}}dx
integral of (-cos(x))/(sin^4(x))	\int\:\frac{-\cos(x)}{\sin^{4}(x)}dx
integral of (4^{ln(x)})/x	\int\:\frac{4^{\ln(x)}}{x}dx
integral of (csc(5+ln(t))cot(5+ln(t)))/t	\int\:\frac{\csc(5+\ln(t))\cot(5+\ln(t))}{t}dt
integral of (x+3)(x+7)	\int\:(x+3)(x+7)dx
integral of ln(x)(10x^3+14x+3)	\int\:\ln(x)(10x^{3}+14x+3)dx
integral of (6x^3-7x+5)/(x^3-x^2)	\int\:\frac{6x^{3}-7x+5}{x^{3}-x^{2}}dx
integral of (esqrt(6x+3))/(sqrt(6x+3))	\int\:\frac{e\sqrt{6x+3}}{\sqrt{6x+3}}dx
integral of sin^3(8x)cos(8x)	\int\:\sin^{3}(8x)\cos(8x)dx
integral of (2x^3-x+5)/(x^3+1)	\int\:\frac{2x^{3}-x+5}{x^{3}+1}dx
integral of x(arcsin(x))^2	\int\:x(\arcsin(x))^{2}dx
integral of 11x^2e^{-4x^3}	\int\:11x^{2}e^{-4x^{3}}dx
integral of (x^5+x)/(x^8+1)	\int\:\frac{x^{5}+x}{x^{8}+1}dx
integral of x/(sqrt(9+4x))	\int\:\frac{x}{\sqrt{9+4x}}dx
integral of x^2(x^3-4)^2	\int\:x^{2}(x^{3}-4)^{2}dx
integral of x^2-7x+10	\int\:x^{2}-7x+10dx
integral of (x^2)/(1+4x^2)	\int\:\frac{x^{2}}{1+4x^{2}}dx
integral of 2pir	\int\:2πrdr
integral of (3x)/(sqrt(x+1))	\int\:\frac{3x}{\sqrt{x+1}}dx
integral of-xsin(x^2)	\int\:-x\sin(x^{2})dx
integral of (cos(ln(x)))/(5x)	\int\:\frac{\cos(\ln(x))}{5x}dx
integral of (3x-2)/(x^3-x^2)	\int\:\frac{3x-2}{x^{3}-x^{2}}dx
integral of x*sqrt(x+2)	\int\:x\cdot\:\sqrt{x+2}dx
integral of [ 1/(sqrt(x))+sin(x-1)]	\int\:[\frac{1}{\sqrt{x}}+\sin(x-1)]dx
integral of (2x)/((x^2-4))	\int\:\frac{2x}{(x^{2}-4)}dx
integral of 1/(sin(y/2)cos(y/2))	\int\:\frac{1}{\sin(\frac{y}{2})\cos(\frac{y}{2})}dy
integral of (sin(2x))/(1-cos(2x))	\int\:\frac{\sin(2x)}{1-\cos(2x)}dx
integral of sin(2x)e^{5x}	\int\:\sin(2x)e^{5x}dx
integral of (x^2+1)/(x^2-3x+2)	\int\:\frac{x^{2}+1}{x^{2}-3x+2}dx
integral of (sqrt(ln(x)+1))/x	\int\:\frac{\sqrt{\ln(x)+1}}{x}dx
integral of (2x^2-1)/(x(1-x^2))	\int\:\frac{2x^{2}-1}{x(1-x^{2})}dx
integral of t/(t^4+16)	\int\:\frac{t}{t^{4}+16}dt
integral of (x^2+x+1)e^x	\int\:(x^{2}+x+1)e^{x}dx
integral of (1/2-1/2 cos(2x))	\int\:(\frac{1}{2}-\frac{1}{2}\cos(2x))dx
integral of (3+3x)/(1+x^2)	\int\:\frac{3+3x}{1+x^{2}}dx
integral of x^2ln(sqrt(1-x))	\int\:x^{2}\ln(\sqrt{1-x})dx
integral of (2x^2+7x-1)/(x^3+x^2-x-1)	\int\:\frac{2x^{2}+7x-1}{x^{3}+x^{2}-x-1}dx
integral of (1+ln(x))/((xln(x^2)))	\int\:\frac{1+\ln(x)}{(x\ln(x^{2}))}dx
integral of (x^{1.2}+11x^{4.5})	\int\:(x^{1.2}+11x^{4.5})dx
integral of (x^3+1)/(x^3-x)	\int\:\frac{x^{3}+1}{x^{3}-x}dx
integral of ((sqrt(x)+2)^7)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+2)^{7}}{2\sqrt{x}}dx
integral of 2xcos(nx)	\int\:2x\cos(nx)dx
integral of (5x-3)/(x^2+6x+5)	\int\:\frac{5x-3}{x^{2}+6x+5}dx
integral of 10e^{x+3}	\int\:10e^{x+3}dx
integral of (cot(x)-1)^2	\int\:(\cot(x)-1)^{2}dx
integral of 6-3x	\int\:6-3xdx
integral of (6x^5+12x^2)sqrt(2+x^3)	\int\:(6x^{5}+12x^{2})\sqrt{2+x^{3}}dx
integral of (18x^2+24)(2x^3+8x)^3	\int\:(18x^{2}+24)(2x^{3}+8x)^{3}dx
integral of (x^2)/(\sqrt[4]{4+x^3)}	\int\:\frac{x^{2}}{\sqrt[4]{4+x^{3}}}dx
integral of 5x+cos(x)	\int\:5x+\cos(x)dx
integral of sin(8pi)x	\int\:\sin(8π)xdx
integral of (x^2)/(sqrt((1+4x)^5))	\int\:\frac{x^{2}}{\sqrt{(1+4x)^{5}}}dx
integral of x/(1+sqrt(1+x))	\int\:\frac{x}{1+\sqrt{1+x}}dx
integral of 4/((x^2+4)^2)	\int\:\frac{4}{(x^{2}+4)^{2}}dx
integral of (5x-1)/(x^3-x^2+x-1)	\int\:\frac{5x-1}{x^{3}-x^{2}+x-1}dx
integral of 8/((x-9)(x-1))	\int\:\frac{8}{(x-9)(x-1)}dx
integral of (7x^3-6x+4)/(x^3-x^2)	\int\:\frac{7x^{3}-6x+4}{x^{3}-x^{2}}dx
integral of (ln^2(x+1))/(x+1)	\int\:\frac{\ln^{2}(x+1)}{x+1}dx
integral of 1e^x	\int\:1e^{x}dx
integral of x^3(2x+1/x)	\int\:x^{3}(2x+\frac{1}{x})dx
integral of (x^9)/((x^4-1)^2)	\int\:\frac{x^{9}}{(x^{4}-1)^{2}}dx
integral of 1/(xsqrt(3-ln^2(x)))	\int\:\frac{1}{x\sqrt{3-\ln^{2}(x)}}dx
integral of (sin(3x))/(1+cos(3x))	\int\:\frac{\sin(3x)}{1+\cos(3x)}dx
integral of (4x)/(e^{5x^2)}	\int\:\frac{4x}{e^{5x^{2}}}dx
integral of (e^{2x}-e^x)/(sqrt(3e^{2x)-6e^x-1)}	\int\:\frac{e^{2x}-e^{x}}{\sqrt{3e^{2x}-6e^{x}-1}}dx
integral of x^1e^{x^2}	\int\:x^{1}e^{x^{2}}dx
integral of 5/(3e^x-2)	\int\:\frac{5}{3e^{x}-2}dx
integral of (x^4-x^2+x-1)/(x^3-x^2+3x-3)	\int\:\frac{x^{4}-x^{2}+x-1}{x^{3}-x^{2}+3x-3}dx
integral of (x^2)/(-7+x^3)	\int\:\frac{x^{2}}{-7+x^{3}}dx

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