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Popular Calculus Problems

integral of x/(x^3-x^2+x+3)	\int\:\frac{x}{x^{3}-x^{2}+x+3}dx
integral of 3(3x-5)^4	\int\:3(3x-5)^{4}dx
integral of (x^3)/(sqrt(x+1))	\int\:\frac{x^{3}}{\sqrt{x+1}}dx
integral of ((x^3+4))/(x(x^2+2))	\int\:\frac{(x^{3}+4)}{x(x^{2}+2)}dx
integral of (-e^x)/(1+e^{2x)}	\int\:\frac{-e^{x}}{1+e^{2x}}dx
integral of (cos(3t)-t^2)(sin(3t)-t^3)^5	\int\:(\cos(3t)-t^{2})(\sin(3t)-t^{3})^{5}dt
integral of (t^2)/(at^3-b)	\int\:\frac{t^{2}}{at^{3}-b}dt
integral of 70csc^2(θ)	\int\:70\csc^{2}(θ)dθ
integral of (5x+3)^6	\int\:(5x+3)^{6}dx
integral of x^2*sqrt(1+x^3)	\int\:x^{2}\cdot\:\sqrt{1+x^{3}}dx
integral of 4bc	\int\:4bcdx
integral of 1/(-x^2+2x+1)	\int\:\frac{1}{-x^{2}+2x+1}dx
integral of ((-2+ln(-2x))^{-3})/x	\int\:\frac{(-2+\ln(-2x))^{-3}}{x}dx
integral of 6(300+x)^2	\int\:6(300+x)^{2}dx
integral of (7x+1)/(3x^2+6x)	\int\:\frac{7x+1}{3x^{2}+6x}dx
integral of (x^2cos(x-2x)sin(x))/(x^4)	\int\:\frac{x^{2}\cos(x-2x)\sin(x)}{x^{4}}dx
integral of (2x^5+3x^2)/(sqrt(2x^3+1))	\int\:\frac{2x^{5}+3x^{2}}{\sqrt{2x^{3}+1}}dx
integral of ((2))/(sqrt(3+2x))	\int\:\frac{(2)}{\sqrt{3+2x}}dx
integral of ((e^{1/(x^3)})/(x^4))	\int\:(\frac{e^{\frac{1}{x^{3}}}}{x^{4}})dx
integral of (1/(1+x))^2	\int\:(\frac{1}{1+x})^{2}dx
integral of e^{6x}x^2	\int\:e^{6x}x^{2}dx
integral of 1/(sqrt(1))	\int\:\frac{1}{\sqrt{1}}dx
integral of (1-z)/(z^2+2z+1)	\int\:\frac{1-z}{z^{2}+2z+1}dz
integral of (3x)/((x+5)^2)	\int\:\frac{3x}{(x+5)^{2}}dx
integral of (-3x+5)cos(2x)	\int\:(-3x+5)\cos(2x)dx
integral of 1/(6x^2-5x-6)	\int\:\frac{1}{6x^{2}-5x-6}dx
integral of 2/(4x^2+3)	\int\:\frac{2}{4x^{2}+3}dx
integral of t^2-3t+2	\int\:t^{2}-3t+2dt
integral of 2x*x^2	\int\:2x\cdot\:x^{2}dx
integral of x/(sqrt(81-x^2))	\int\:\frac{x}{\sqrt{81-x^{2}}}dx
integral of yx^3e^{x^2y^2}	\int\:yx^{3}e^{x^{2}y^{2}}dy
integral of x^3e^{-x/c}	\int\:x^{3}e^{-\frac{x}{c}}dx
integral of (sqrt(x)+3x)	\int\:(\sqrt{x}+3x)dx
integral of 5/((x-4)^2)	\int\:\frac{5}{(x-4)^{2}}dx
integral of 6/x+2pi	\int\:\frac{6}{x}+2πdx
integral of 9/(5^2+x^2)	\int\:\frac{9}{5^{2}+x^{2}}dx
integral of (x)(cos(x))	\int\:(x)(\cos(x))dx
integral of 1/(7x+10)	\int\:\frac{1}{7x+10}dx
integral of (arctan(2x))/(4x^2+1)	\int\:\frac{\arctan(2x)}{4x^{2}+1}dx
integral of-16sin^2(t)	\int\:-16\sin^{2}(t)dt
integral of (4(csc(x))^2)/(cot(x))	\int\:\frac{4(\csc(x))^{2}}{\cot(x)}dx
integral of (8x+19)^{-2}	\int\:(8x+19)^{-2}dx
integral of (x^4(1-x)^4)/(1+x^2)	\int\:\frac{x^{4}(1-x)^{4}}{1+x^{2}}dx
integral of (2x+1)^{20}	\int\:(2x+1)^{20}dx
integral of (9cos(x))	\int\:(9\cos(x))dx
integral of (xe^{-x})^2	\int\:(xe^{-x})^{2}dx
integral of e^{20t}	\int\:e^{20t}dt
integral of 2/(x+\sqrt[3]{x)}	\int\:\frac{2}{x+\sqrt[3]{x}}dx
integral of 1/3 sin(3x)+2	\int\:\frac{1}{3}\sin(3x)+2dx
integral of (14)/(sqrt(1-x^2))	\int\:\frac{14}{\sqrt{1-x^{2}}}dx
integral of 90	\int\:90dx
integral of cos(8x)cos(2x)	\int\:\cos(8x)\cos(2x)dx
integral of 4cos((pix)/2)	\int\:4\cos(\frac{πx}{2})dx
integral of (-2x+5)^{3/2}	\int\:(-2x+5)^{\frac{3}{2}}dx
integral of ysec^2(m)y	\int\:y\sec^{2}(m)ydy
integral of (sqrt(x^2+16))/(5x)	\int\:\frac{\sqrt{x^{2}+16}}{5x}dx
integral of cos(x^2)*2x	\int\:\cos(x^{2})\cdot\:2xdx
integral of (4+tan^2(θ))	\int\:(4+\tan^{2}(θ))dθ
integral of 5x^2+6	\int\:5x^{2}+6dx
integral of ln(9/4)	\int\:\ln(\frac{9}{4})dx
integral of (x^3+4)^2	\int\:(x^{3}+4)^{2}dx
integral of cos(sqrt(2x+1))	\int\:\cos(\sqrt{2x+1})dx
integral of \sqrt[a]{x}	\int\:\sqrt[a]{x}dx
integral of 8sin^3(x)cos^3(x)	\int\:8\sin^{3}(x)\cos^{3}(x)dx
integral of e^{2kx}	\int\:e^{2kx}dx
integral of 4*sqrt(4-x^2)	\int\:4\cdot\:\sqrt{4-x^{2}}dx
integral of (x^4)/(\sqrt[3]{x^5-2)}	\int\:\frac{x^{4}}{\sqrt[3]{x^{5}-2}}dx
integral of 7/((1-6x)^6)	\int\:\frac{7}{(1-6x)^{6}}dx
integral of-(x^2)/(2(5-x))	\int\:-\frac{x^{2}}{2(5-x)}dx
integral of (x+3)/(x^2-4)	\int\:\frac{x+3}{x^{2}-4}dx
integral of 1/(x^2+9x)	\int\:\frac{1}{x^{2}+9x}dx
integral of x/((4+x^2)^{3/2)}	\int\:\frac{x}{(4+x^{2})^{\frac{3}{2}}}dx
integral of 8x^3sqrt(2x^4)+6	\int\:8x^{3}\sqrt{2x^{4}}+6dx
integral of 3e^x-2sin(x)+1	\int\:3e^{x}-2\sin(x)+1dx
integral of 1/(sqrt(4x+3))	\int\:\frac{1}{\sqrt{4x+3}}dx
integral of ((x-1)/(sqrt(x)))	\int\:(\frac{x-1}{\sqrt{x}})dx
integral of x/(2x^3+1)	\int\:\frac{x}{2x^{3}+1}dx
integral of xcos(x)(x)	\int\:x\cos(x)(x)dx
integral of (x^4-x^2-x-1)/(x^3-x^2)	\int\:\frac{x^{4}-x^{2}-x-1}{x^{3}-x^{2}}dx
integral of (32^x+43^x)/(2^x)	\int\:\frac{3\cdot\:2^{x}+4\cdot\:3^{x}}{2^{x}}dx
integral of 15ln(x^2-x+12)	\int\:15\ln(x^{2}-x+12)dx
integral of (cos(x))/(sqrt(1+cos^2(x)))	\int\:\frac{\cos(x)}{\sqrt{1+\cos^{2}(x)}}dx
integral of cos^2(kz-wt)	\int\:\cos^{2}(kz-wt)dt
integral of cos(x)sin(x)tan(x)	\int\:\cos(x)\sin(x)\tan(x)dx
integral of ((2x^2-x+4))/((x^3+4x))	\int\:\frac{(2x^{2}-x+4)}{(x^{3}+4x)}dx
integral of (ln(8x))/(x^3)	\int\:\frac{\ln(8x)}{x^{3}}dx
integral of (x*e^{x^2})	\int\:(x\cdot\:e^{x^{2}})dx
integral of sqrt((1-\sqrt{x))/x}	\int\:\sqrt{\frac{1-\sqrt{x}}{x}}dx
integral of (12x^2-7x+2)	\int\:(12x^{2}-7x+2)dx
integral of (x^4+x+1)/(x^2+x)	\int\:\frac{x^{4}+x+1}{x^{2}+x}dx
integral of (x^{-2})/(sqrt((2-x)(2+x)))	\int\:\frac{x^{-2}}{\sqrt{(2-x)(2+x)}}dx
integral of (10+2x^2+2y^2)	\int\:(10+2x^{2}+2y^{2})dx
integral of-10tan^3(x)	\int\:-10\tan^{3}(x)dx
integral of sqrt(v^2+2v)	\int\:\sqrt{v^{2}+2v}dv
integral of (sqrt(x+1))/(2x+3)	\int\:\frac{\sqrt{x+1}}{2x+3}dx
integral of x^22^{-x}	\int\:x^{2}2^{-x}dx
integral of (2x-4)^{1/2}(x-2)	\int\:(2x-4)^{\frac{1}{2}}(x-2)dx
integral of (1+x)/(1+\sqrt[3]{x)}	\int\:\frac{1+x}{1+\sqrt[3]{x}}dx
integral of (10t)/(t^2+9)	\int\:\frac{10t}{t^{2}+9}dt
integral of \sqrt[3]{x^3+1}*3x^2	\int\:\sqrt[3]{x^{3}+1}\cdot\:3x^{2}dx

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