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Popular Calculus Problems

integral of (-2)/((x-1)^3)	\int\:\frac{-2}{(x-1)^{3}}dx
integral of-1/(x(ln(x))^3)	\int\:-\frac{1}{x(\ln(x))^{3}}dx
integral of (tan^3(x)+1)/(cos^2(x))	\int\:\frac{\tan^{3}(x)+1}{\cos^{2}(x)}dx
integral of (arctan^3(x))/(1+x^2)	\int\:\frac{\arctan^{3}(x)}{1+x^{2}}dx
integral of (2x^5+6x^3+1)/(x^4+3x^2)	\int\:\frac{2x^{5}+6x^{3}+1}{x^{4}+3x^{2}}dx
integral of (x^4)/((x^2-1)(x+2))	\int\:\frac{x^{4}}{(x^{2}-1)(x+2)}dx
integral of (4x+7)^{11}	\int\:(4x+7)^{11}dx
integral of (x^4+3x^2+4)/((x+1)^2)	\int\:\frac{x^{4}+3x^{2}+4}{(x+1)^{2}}dx
integral of (2x^2+x)/((4x^3+3x^2)^2)	\int\:\frac{2x^{2}+x}{(4x^{3}+3x^{2})^{2}}dx
integral of e^x-4cos(x)	\int\:e^{x}-4\cos(x)dx
integral of (((1-x))/x)^2	\int\:(\frac{(1-x)}{x})^{2}dx
integral of x/((4x+1)^{2/3)}	\int\:\frac{x}{(4x+1)^{\frac{2}{3}}}dx
integral of xcos(x)e^x	\int\:x\cos(x)e^{x}dx
integral of 1/((2+sin(x))cos(x))	\int\:\frac{1}{(2+\sin(x))\cos(x)}dx
integral of (5^{1/x})/(x^2)	\int\:\frac{5^{\frac{1}{x}}}{x^{2}}dx
integral of sqrt(3-2s)	\int\:\sqrt{3-2s}ds
integral of (-5)/(x^2sqrt(5-x^2))	\int\:\frac{-5}{x^{2}\sqrt{5-x^{2}}}dx
integral of x/(sqrt(x^2+2x-1))	\int\:\frac{x}{\sqrt{x^{2}+2x-1}}dx
integral of (x+1)/(sqrt(1-x^2))	\int\:\frac{x+1}{\sqrt{1-x^{2}}}dx
integral of (9x)/(x^4+1)	\int\:\frac{9x}{x^{4}+1}dx
integral of sqrt(9-7x^2)	\int\:\sqrt{9-7x^{2}}dx
integral of 1/((x+1)^2(x^2+1))	\int\:\frac{1}{(x+1)^{2}(x^{2}+1)}dx
integral of (5x)/(x^2-x-6)	\int\:\frac{5x}{x^{2}-x-6}dx
integral of xe^{5x+2}	\int\:xe^{5x+2}dx
integral of 1/(9x^4+x^2)	\int\:\frac{1}{9x^{4}+x^{2}}dx
integral of 5/(x^{1/2)}	\int\:\frac{5}{x^{\frac{1}{2}}}dx
integral of (1-2t^3)/(t^3)	\int\:\frac{1-2t^{3}}{t^{3}}dt
integral of y^3sqrt(y)	\int\:y^{3}\sqrt{y}dy
integral of (3x)/(1+9x^2)	\int\:\frac{3x}{1+9x^{2}}dx
integral of 4/(3x^2)	\int\:\frac{4}{3x^{2}}dx
integral of ln((x-1)^2)	\int\:\ln((x-1)^{2})dx
integral of 5csc(x)cot(x)	\int\:5\csc(x)\cot(x)dx
integral of (x^5)/(x^3+1)	\int\:\frac{x^{5}}{x^{3}+1}dx
integral of (x^2+1)/((x-1)(x+1)^2)	\int\:\frac{x^{2}+1}{(x-1)(x+1)^{2}}dx
integral of e^x+4sin(x)	\int\:e^{x}+4\sin(x)dx
integral of 1/(tan^3(x))	\int\:\frac{1}{\tan^{3}(x)}dx
integral of (x^3)/(4+x^2)	\int\:\frac{x^{3}}{4+x^{2}}dx
integral of (x^2)/(sqrt((x-2)(4-x)))	\int\:\frac{x^{2}}{\sqrt{(x-2)(4-x)}}dx
integral of cos(x)(sin(x)+1)^3	\int\:\cos(x)(\sin(x)+1)^{3}dx
integral of 2/(3x^3)	\int\:\frac{2}{3x^{3}}dx
integral of (2x+5)/(x^2+2x+10)	\int\:\frac{2x+5}{x^{2}+2x+10}dx
integral of 1/(sqrt(3x^2-4))	\int\:\frac{1}{\sqrt{3x^{2}-4}}dx
integral of sqrt((x-1)/x)	\int\:\sqrt{\frac{x-1}{x}}dx
integral of (1-sin(x))^2	\int\:(1-\sin(x))^{2}dx
integral of (-5)/(x(ln(x))^3)	\int\:\frac{-5}{x(\ln(x))^{3}}dx
integral of (sin(3x))/(1-cos(3x))	\int\:\frac{\sin(3x)}{1-\cos(3x)}dx
integral of 1/(x^4sqrt(16+x^2))	\int\:\frac{1}{x^{4}\sqrt{16+x^{2}}}dx
integral of 4xsqrt(1+x^2)	\int\:4x\sqrt{1+x^{2}}dx
integral of x/(1-sqrt(x))	\int\:\frac{x}{1-\sqrt{x}}dx
integral of (e^{3x}+1/(x^3)-7x^{3/2})	\int\:(e^{3x}+\frac{1}{x^{3}}-7x^{\frac{3}{2}})dx
integral of x/(\sqrt[3]{3x^2+2)}	\int\:\frac{x}{\sqrt[3]{3x^{2}+2}}dx
integral of 1/((1-x)^2)	integral\:\frac{1}{(1-x)^{2}}
integral of (sec^2(x))(1+tan(x))	\int\:(\sec^{2}(x))(1+\tan(x))dx
integral of x/((x+1)(x-2))	\int\:\frac{x}{(x+1)(x-2)}dx
integral of (ln(1+3x))/(x^2)	\int\:\frac{\ln(1+3x)}{x^{2}}dx
integral of (ln(x))/(x^{3/2)}	\int\:\frac{\ln(x)}{x^{\frac{3}{2}}}dx
integral of 1/(x(ln(x))^{17)}	\int\:\frac{1}{x(\ln(x))^{17}}dx
integral of 1/(x5+1)	\int\:\frac{1}{x5+1}dx
integral of 1/(sqrt(1-\frac{x^2){81)}}	\int\:\frac{1}{\sqrt{1-\frac{x^{2}}{81}}}dx
integral of 5/((2x+1)(x-2))	\int\:\frac{5}{(2x+1)(x-2)}dx
integral of (x^2+1)(x^3+3x-1)^5	\int\:(x^{2}+1)(x^{3}+3x-1)^{5}dx
integral of 1/(4x^2-11x+2)	\int\:\frac{1}{4x^{2}-11x+2}dx
integral of sin(x)sin(x+1)	\int\:\sin(x)\sin(x+1)dx
integral of cos(x)+6sin(x)+3x^2	\int\:\cos(x)+6\sin(x)+3x^{2}dx
integral of-3/(x(ln(x))^2)	\int\:-\frac{3}{x(\ln(x))^{2}}dx
integral of ((cos^2(y)))/((1-sin(y)))	\int\:\frac{(\cos^{2}(y))}{(1-\sin(y))}dy
integral of arcsin(sqrt(x/2))	\int\:\arcsin(\sqrt{\frac{x}{2}})dx
integral of cot((4z)/3)	\int\:\cot(\frac{4z}{3})dz
integral of 1/(sqrt(x-4))	\int\:\frac{1}{\sqrt{x-4}}dx
integral of (1-cos^2(x))/(cos^2(x))	\int\:\frac{1-\cos^{2}(x)}{\cos^{2}(x)}dx
integral of (3x-2)/(x^2-2x+5)	\int\:\frac{3x-2}{x^{2}-2x+5}dx
integral of (sqrt(x+1))/(1+sqrt(x+1))	\int\:\frac{\sqrt{x+1}}{1+\sqrt{x+1}}dx
integral of x^2sqrt(x^3+25)	\int\:x^{2}\sqrt{x^{3}+25}dx
integral of x/(sqrt(3-x))	\int\:\frac{x}{\sqrt{3-x}}dx
integral of e^x(1/x+ln(x))	\int\:e^{x}(\frac{1}{x}+\ln(x))dx
integral of 1/(sqrt((x^2+4x+7)^3))	\int\:\frac{1}{\sqrt{(x^{2}+4x+7)^{3}}}dx
integral of (e^{x/2}-x)(e^{x/2}+x)	\int\:(e^{\frac{x}{2}}-x)(e^{\frac{x}{2}}+x)dx
integral of 1/(1+x^2)	integral\:\frac{1}{1+x^{2}}
integral of x/(36x^4+9)	\int\:\frac{x}{36x^{4}+9}dx
integral of (sqrt(x))/(\sqrt[4]{x^3)+1}	\int\:\frac{\sqrt{x}}{\sqrt[4]{x^{3}}+1}dx
integral of (3x)/(sqrt(1+x))	\int\:\frac{3x}{\sqrt{1+x}}dx
integral of 2sin^5(x)cos(x)	\int\:2\sin^{5}(x)\cos(x)dx
integral of cos^2(ωt+φ)sin(ωt+φ)	\int\:\cos^{2}(ωt+φ)\sin(ωt+φ)dt
integral of 1in(x)	\int\:1d\sin(x)dx
integral of x(4-x)^5	\int\:x(4-x)^{5}dx
integral of (x^2+1/(x^3))	\int\:(x^{2}+\frac{1}{x^{3}})dx
integral of sin(5x-2)	\int\:\sin(5x-2)dx
integral of (sin(x))^4cos(x)	\int\:(\sin(x))^{4}\cos(x)dx
integral of e^x-6cos(x)	\int\:e^{x}-6\cos(x)dx
integral of (x*arctan(x))/(sqrt(1+x^2))	\int\:\frac{x\cdot\:\arctan(x)}{\sqrt{1+x^{2}}}dx
integral of xcos(2x+1)	\int\:x\cos(2x+1)dx
integral of 1/(x^8(1+x^2))	\int\:\frac{1}{x^{8}(1+x^{2})}dx
integral of (2x+3)/(x^3+x-2x)	\int\:\frac{2x+3}{x^{3}+x-2x}dx
integral of (x^3+4)/(x(x^2+2))	\int\:\frac{x^{3}+4}{x(x^{2}+2)}dx
integral of (tan(x))/(sqrt(sec^2(x)-4))	\int\:\frac{\tan(x)}{\sqrt{\sec^{2}(x)-4}}dx
integral of x/(sqrt(6x-x^2-4))	\int\:\frac{x}{\sqrt{6x-x^{2}-4}}dx
integral of 1/(x^2)cos(2/x)	\int\:\frac{1}{x^{2}}\cos(\frac{2}{x})dx
integral of (x^3+2x-1)/(x-1)	\int\:\frac{x^{3}+2x-1}{x-1}dx
integral of (x^2+x-10)/((2x-3)(x^2+4))	\int\:\frac{x^{2}+x-10}{(2x-3)(x^{2}+4)}dx
integral of (5x-3)/(18x^3-60x^2+50x)	\int\:\frac{5x-3}{18x^{3}-60x^{2}+50x}dx

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