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Popular Calculus Problems

integral of (6x^5)/((x^6-1)^2)	\int\:\frac{6x^{5}}{(x^{6}-1)^{2}}dx
integral of x/((x-1)(x^2+x+1))	\int\:\frac{x}{(x-1)(x^{2}+x+1)}dx
integral of (3-e^x)/(e^{7x)}	\int\:\frac{3-e^{x}}{e^{7x}}dx
integral of sqrt(1+2/x)	\int\:\sqrt{1+\frac{2}{x}}dx
integral of sqrt(9-16y^2)	\int\:\sqrt{9-16y^{2}}dy
integral of (4x^3-8x^2+9)/(x^2-2x)	\int\:\frac{4x^{3}-8x^{2}+9}{x^{2}-2x}dx
integral of c/(1+x^2)	\int\:\frac{c}{1+x^{2}}dx
integral of x/(sqrt(z^2+x^2))	\int\:\frac{x}{\sqrt{z^{2}+x^{2}}}dx
integral of sec(t/3)	\int\:\sec(\frac{t}{3})dt
integral of 90e^{-0.12x}	\int\:90e^{-0.12x}dx
integral of ((2x+3))/(4x^2+4x+5)	\int\:\frac{(2x+3)}{4x^{2}+4x+5}dx
integral of (18s+18)/((s^2+1)(s-1)^3)	\int\:\frac{18s+18}{(s^{2}+1)(s-1)^{3}}ds
integral of te^{-jnt}	\int\:te^{-jnt}dt
integral of 2/(sqrt(9-4x))	\int\:\frac{2}{\sqrt{9-4x}}dx
integral of x^3*sin(x^2)	\int\:x^{3}\cdot\:\sin(x^{2})dx
integral of-4x^7sin(x^8)	\int\:-4x^{7}\sin(x^{8})dx
integral of 9tan(x)sec^7(x)	\int\:9\tan(x)\sec^{7}(x)dx
integral of ((x^4-5x^3+7x)/x)	\int\:(\frac{x^{4}-5x^{3}+7x}{x})dx
integral of cos^4(θ)sin^2(θ)	\int\:\cos^{4}(θ)\sin^{2}(θ)dθ
integral of sqrt(225-9x^2)	\int\:\sqrt{225-9x^{2}}dx
integral of e^{-4x}+x+(4x+1)	\int\:e^{-4x}+x+(4x+1)dx
integral of sin^6(3x)cos^2(3x)	\int\:\sin^{6}(3x)\cos^{2}(3x)dx
integral of xe^4	\int\:xe^{4}dx
integral of e^{3x^2}*x^3	\int\:e^{3x^{2}}\cdot\:x^{3}dx
integral of 1/(x^3*sqrt(x^2-9))	\int\:\frac{1}{x^{3}\cdot\:\sqrt{x^{2}-9}}dx
integral of (cos(y))/(1+sin(y))	\int\:\frac{\cos(y)}{1+\sin(y)}dy
integral of sin^3(t)cos^6(t)	\int\:\sin^{3}(t)\cos^{6}(t)dt
integral of 1/(z^2sqrt(z^2-4))	\int\:\frac{1}{z^{2}\sqrt{z^{2}-4}}dz
integral of [sin(pi/3-x)]^{-2}	\int\:[\sin(\frac{π}{3}-x)]^{-2}dx
integral of sin(2x)cos(nx)	\int\:\sin(2x)\cos(nx)dx
integral of (x^2-2x)^2-(6x-x^2)^2	\int\:(x^{2}-2x)^{2}-(6x-x^{2})^{2}dx
integral of (cos(ln(x)))/(kx)	\int\:\frac{\cos(\ln(x))}{kx}dx
integral of (y^2+6y+4)/(y^4+5y^2+4)	\int\:\frac{y^{2}+6y+4}{y^{4}+5y^{2}+4}dy
integral of x^4-13	\int\:x^{4}-13dx
integral of (2x^2+x+1)/(x^3)	\int\:\frac{2x^{2}+x+1}{x^{3}}dx
integral of (z(1+z^2))/(1-z^2)	\int\:\frac{z(1+z^{2})}{1-z^{2}}dz
integral of (7x+6)/(x^2+x+7)	\int\:\frac{7x+6}{x^{2}+x+7}dx
integral of (4x^5+2x^4+3x^2-x+6)	\int\:(4x^{5}+2x^{4}+3x^{2}-x+6)dx
integral of sin^6(x)*cos^3(x)	\int\:\sin^{6}(x)\cdot\:\cos^{3}(x)dx
integral of 1/(ln(u))	\int\:\frac{1}{\ln(u)}du
integral of e^{-2x}+1	\int\:e^{-2x}+1dx
integral of x/((3x^2-4))	\int\:\frac{x}{(3x^{2}-4)}dx
integral of (x+3)(x-1)	\int\:(x+3)(x-1)dx
integral of (6x^2-20x-5)/(x^3+2x^2+x)	\int\:\frac{6x^{2}-20x-5}{x^{3}+2x^{2}+x}dx
integral of ((x/3+1/3))/((x^2+x+1)^2)	\int\:\frac{(\frac{x}{3}+\frac{1}{3})}{(x^{2}+x+1)^{2}}dx
integral of x^3sqrt(1+(3x^2)^2)	\int\:x^{3}\sqrt{1+(3x^{2})^{2}}dx
integral of (xln(x^2+3))/(x^2+3)	\int\:\frac{x\ln(x^{2}+3)}{x^{2}+3}dx
integral of sqrt(1^2-x^2)	\int\:\sqrt{1^{2}-x^{2}}dx
integral of 1/(x^2sqrt(x+1))	\int\:\frac{1}{x^{2}\sqrt{x+1}}dx
integral of 1/(sqrt(x)+9)	\int\:\frac{1}{\sqrt{x}+9}dx
integral of (3x-8)^7	\int\:(3x-8)^{7}dx
integral of e^{4x} 4/3	\int\:e^{4x}\frac{4}{3}dx
integral of y(y^2+5)^8	\int\:y(y^{2}+5)^{8}dy
integral of x^2(1+x)^2	\int\:x^{2}(1+x)^{2}dx
integral of sqrt(324-x^2)	\int\:\sqrt{324-x^{2}}dx
integral of (x^2+2x-3)/(x^3-2x^2+x-2)	\int\:\frac{x^{2}+2x-3}{x^{3}-2x^{2}+x-2}dx
integral of-(e^x)/((e^x+1)^3)	\int\:-\frac{e^{x}}{(e^{x}+1)^{3}}dx
integral of u^{1.1}(1/(3u)-1)	\int\:u^{1.1}(\frac{1}{3u}-1)du
integral of 1/(121-4w^2)	\int\:\frac{1}{121-4w^{2}}dw
integral of 2sin^3(x)cos^4(x)	\int\:2\sin^{3}(x)\cos^{4}(x)dx
integral of sin(1/5 x)	\int\:\sin(\frac{1}{5}x)dx
integral of x^2(5x-3)	\int\:x^{2}(5x-3)dx
integral of (x^2e^{(-x)/2})	\int\:(x^{2}e^{\frac{-x}{2}})dx
integral of 10x^2sin(x)	\int\:10x^{2}\sin(x)dx
integral of e^{-3x}+1/2	\int\:e^{-3x}+\frac{1}{2}dx
integral of sin(14x)	\int\:\sin(14x)dx
integral of 1/(1+e^{9x)}	\int\:\frac{1}{1+e^{9x}}dx
integral of 1/(sqrt(-x^2+x/2+1/2))	\int\:\frac{1}{\sqrt{-x^{2}+\frac{x}{2}+\frac{1}{2}}}dx
integral of (tan(x))/(sin(x))	\int\:\frac{\tan(x)}{\sin(x)}dx
integral of (x-3)/((x-5)^3)	\int\:\frac{x-3}{(x-5)^{3}}dx
integral of 1/(cos(x))*1/(cos(x))	\int\:\frac{1}{\cos(x)}\cdot\:\frac{1}{\cos(x)}dx
integral of 9x(1/x+x^2)	\int\:9x(\frac{1}{x}+x^{2})dx
integral of 2xsec^2(x^2)tan^4(x^2)	\int\:2x\sec^{2}(x^{2})\tan^{4}(x^{2})dx
integral of 8sin^3(θ)cos(θ)	\int\:8\sin^{3}(θ)\cos(θ)dθ
integral of 3x^3+4x^2-7/9	\int\:3x^{3}+4x^{2}-\frac{7}{9}dx
integral of (x^2+x+5)	\int\:(x^{2}+x+5)dx
integral of 1/(sqrt(4y^2+4y+5))	\int\:\frac{1}{\sqrt{4y^{2}+4y+5}}dy
integral of 8sin^{-3/2}(x)cos^3(x)	\int\:8\sin^{-\frac{3}{2}}(x)\cos^{3}(x)dx
integral of (9x)/(sqrt(x^2+1))	\int\:\frac{9x}{\sqrt{x^{2}+1}}dx
integral of-1/5 sin(u)	\int\:-\frac{1}{5}\sin(u)du
integral of 1/(c+e^{-x)}	\int\:\frac{1}{c+e^{-x}}dx
integral of (sec^3(1/x)tan^2(1/x))/(x^2)	\int\:\frac{\sec^{3}(\frac{1}{x})\tan^{2}(\frac{1}{x})}{x^{2}}dx
integral of (8+x+7x^2+e^x)	\int\:(8+x+7x^{2}+e^{x})dx
integral of 6x(x+2)	\int\:6x(x+2)dx
integral of 5x^2e^{2x}	\int\:5x^{2}e^{2x}dx
integral of e^3cos(2x)sin(2x)	\int\:e^{3}\cos(2x)\sin(2x)dx
integral of (x^4+\sqrt[3]{x})/(x^2)	\int\:\frac{x^{4}+\sqrt[3]{x}}{x^{2}}dx
integral of sin(3x)e^{3x}	\int\:\sin(3x)e^{3x}dx
integral of (e^{7x}+e^{-2x})	\int\:(e^{7x}+e^{-2x})dx
integral of ((x^2)/(sqrt(16-x^2)))	\int\:(\frac{x^{2}}{\sqrt{16-x^{2}}})dx
integral of (x-1)x^{1/2}	\int\:(x-1)x^{\frac{1}{2}}dx
integral of (8sin(2x))/(1+cos^4(x))	\int\:\frac{8\sin(2x)}{1+\cos^{4}(x)}dx
integral of x^3-3x^2+3x+0.25	\int\:x^{3}-3x^{2}+3x+0.25dx
integral of 4/(xsqrt(9+(ln(x))^2))	\int\:\frac{4}{x\sqrt{9+(\ln(x))^{2}}}dx
integral of 8/(u^5)	\int\:\frac{8}{u^{5}}du
integral of x/(sqrt(25+x))	\int\:\frac{x}{\sqrt{25+x}}dx
integral of ((x+3))/(\sqrt[3]{x^2+6x)}	\int\:\frac{(x+3)}{\sqrt[3]{x^{2}+6x}}dx
integral of tan^2(x-1)	\int\:\tan^{2}(x-1)dx
integral of ((x+2)^2)/(x-2)	\int\:\frac{(x+2)^{2}}{x-2}dx
integral of (ye^{xy}+y/(x^2))	\int\:(ye^{xy}+\frac{y}{x^{2}})dx

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