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Popular Calculus Problems

integral of (x^3-2x^2+x-3)/x	\int\:\frac{x^{3}-2x^{2}+x-3}{x}dx
integral of (x/2+2/x)	\int\:(\frac{x}{2}+\frac{2}{x})dx
integral of (4/(x^2+1)-7/x)	\int\:(\frac{4}{x^{2}+1}-\frac{7}{x})dx
integral of (-5x)/(x^2+1)	\int\:\frac{-5x}{x^{2}+1}dx
integral of (3x^2+5)/(x^3+9x)	\int\:\frac{3x^{2}+5}{x^{3}+9x}dx
integral of 1/(x^2(x^2+2))	\int\:\frac{1}{x^{2}(x^{2}+2)}dx
integral of e^x1	\int\:e^{x}1dx
integral of 1/(cos^2(rx))	\int\:\frac{1}{\cos^{2}(rx)}dx
integral of 9x^2-x^4	\int\:9x^{2}-x^{4}dx
integral of x^2e^{-1/2 x^2}	\int\:x^{2}e^{-\frac{1}{2}x^{2}}dx
integral of 4x^{1/3}+8x^{-1/3}	\int\:4x^{\frac{1}{3}}+8x^{-\frac{1}{3}}dx
integral of x^3+1/x-7	\int\:x^{3}+\frac{1}{x}-7dx
integral of (2^x)/(sqrt(1+4^x))	\int\:\frac{2^{x}}{\sqrt{1+4^{x}}}dx
integral of x^3(5^{x^4+1})	\int\:x^{3}(5^{x^{4}+1})dx
integral of (1+t^2)^{1/2}	\int\:(1+t^{2})^{\frac{1}{2}}dt
integral of (e^x)/((e^{2x)+1)(e^x-3)}	\int\:\frac{e^{x}}{(e^{2x}+1)(e^{x}-3)}dx
integral of-x^2-2	\int\:-x^{2}-2dx
integral of arctan(sqrt(x-1))	\int\:\arctan(\sqrt{x-1})dx
integral of x^2(8x^3-9)^6	\int\:x^{2}(8x^{3}-9)^{6}dx
integral of (x^{3+1/7})/7	\int\:\frac{x^{3+\frac{1}{7}}}{7}dx
integral of (3/(2w^3)-(3w^2)/5)	\int\:(\frac{3}{2w^{3}}-\frac{3w^{2}}{5})dw
integral of-10sin(10x)	\int\:-10\sin(10x)dx
integral of-x5^{-2x}	\int\:-x5^{-2x}dx
integral of (10x^4)/(sqrt(1-x^{10))}	\int\:\frac{10x^{4}}{\sqrt{1-x^{10}}}dx
integral of 1/(cos(x)-sin(x)-1)	\int\:\frac{1}{\cos(x)-\sin(x)-1}dx
integral of 1-(2x)/pi	\int\:1-\frac{2x}{π}dx
integral of (x-7)/(\sqrt[3]{x-3)}	\int\:\frac{x-7}{\sqrt[3]{x-3}}dx
integral of (cos(θ))/(9sin^2(θ))	\int\:\frac{\cos(θ)}{9\sin^{2}(θ)}dθ
integral of (tan^3(x))(sec^2(x))	\int\:(\tan^{3}(x))(\sec^{2}(x))dx
integral of (sqrt(x)+1/(\sqrt[3]{x)})^3	\int\:(\sqrt{x}+\frac{1}{\sqrt[3]{x}})^{3}dx
integral of-3sin(2x+1)	\int\:-3\sin(2x+1)dx
integral of 9(x^2+10x+5)(2x+10)	\int\:9(x^{2}+10x+5)(2x+10)dx
integral of x^2e^{x^{3-1}}	\int\:x^{2}e^{x^{3-1}}dx
integral of (x-1)/(sqrt(-x^2+2x))	\int\:\frac{x-1}{\sqrt{-x^{2}+2x}}dx
integral of (cos(x))/(3sin(x)+6)	\int\:\frac{\cos(x)}{3\sin(x)+6}dx
integral of x/(8+x^2)	\int\:\frac{x}{8+x^{2}}dx
integral of 1/((3y-1)^2)	\int\:\frac{1}{(3y-1)^{2}}dy
integral of (8x^6-6x^5-2x^2-10x)/(2x)	\int\:\frac{8x^{6}-6x^{5}-2x^{2}-10x}{2x}dx
integral of sin(x)(1-2cos(x))^3	\int\:\sin(x)(1-2\cos(x))^{3}dx
integral of-2sin(2x+7)	\int\:-2\sin(2x+7)dx
integral of sin^2(3x)*cos(3x)	\int\:\sin^{2}(3x)\cdot\:\cos(3x)dx
integral of (x+5)sin(x)	\int\:(x+5)\sin(x)dx
integral of x/(3x^2)	\int\:\frac{x}{3x^{2}}dx
integral of tan(t)sec(t)	\int\:\tan(t)\sec(t)dt
integral of x(e^x+9)	\int\:x(e^{x}+9)dx
integral of (2x-2x^2)	\int\:(2x-2x^{2})dx
integral of (t^2-t)ln(-t)	\int\:(t^{2}-t)\ln(-t)dt
integral of ((x+5))/x	\int\:\frac{(x+5)}{x}dx
integral of (2x+1)/(xln(x))	\int\:\frac{2x+1}{x\ln(x)}dx
integral of cos^4(x)*sin(x)	\int\:\cos^{4}(x)\cdot\:\sin(x)dx
integral of 3arcsin(x)	\int\:3\arcsin(x)dx
integral of xy^2-cos(x)sin(x)	\int\:xy^{2}-\cos(x)\sin(x)dx
integral of (12x^3)/((4x^2+1)(x-2)^2)	\int\:\frac{12x^{3}}{(4x^{2}+1)(x-2)^{2}}dx
integral of e^{-2x}-1	\int\:e^{-2x}-1dx
integral of (2x^4-3)^5(8x^3)	\int\:(2x^{4}-3)^{5}(8x^{3})dx
integral of (tan(x))'	\int\:(\tan(x))\prime\:dx
integral of ln(x)arcsin(x)	\int\:\ln(x)\arcsin(x)dx
integral of ((3))/((x^2-x))	\int\:\frac{(3)}{(x^{2}-x)}dx
integral of x/((3-x)^2)	\int\:\frac{x}{(3-x)^{2}}dx
integral of cos^4(θ)sin(2θ)	\int\:\cos^{4}(θ)\sin(2θ)dθ
integral of 2/(1+cos(x))	\int\:\frac{2}{1+\cos(x)}dx
integral of sec^2(θ)sec(θ)	\int\:\sec^{2}(θ)\sec(θ)dθ
integral of ((16x^3))/(x^4+5)	\int\:\frac{(16x^{3})}{x^{4}+5}dx
integral of sin((2θ)/3)	\int\:\sin(\frac{2θ}{3})dθ
integral of x(\sqrt[3]{1-4x})	\int\:x(\sqrt[3]{1-4x})dx
integral of 3x^{-6/7}	\int\:3x^{-\frac{6}{7}}dx
integral of sqrt(3-4x)	\int\:\sqrt{3-4x}dx
integral of x/((4+x^2)^2)	\int\:\frac{x}{(4+x^{2})^{2}}dx
integral of 1/3*x^3cos(x^4+2)	\int\:\frac{1}{3}\cdot\:x^{3}\cos(x^{4}+2)dx
integral of 7cos(x)tan(x)	\int\:7\cos(x)\tan(x)dx
integral of 7xe^{-4x}	\int\:7xe^{-4x}dx
integral of 5e^z	\int\:5e^{z}dz
integral of 5/(e^x)	\int\:\frac{5}{e^{x}}dx
integral of sin(2x)cos(x/3)	\int\:\sin(2x)\cos(\frac{x}{3})dx
integral of (x^{4/3}-4x^{1/3})	\int\:(x^{\frac{4}{3}}-4x^{\frac{1}{3}})dx
integral of (3+12z)/(sqrt(2z^2+z+1))	\int\:\frac{3+12z}{\sqrt{2z^{2}+z+1}}dz
integral of (2-x-x^2)/(x^2(x+1))	\int\:\frac{2-x-x^{2}}{x^{2}(x+1)}dx
integral of (4x+5)/(2x)+e^x	\int\:\frac{4x+5}{2x}+e^{x}dx
integral of (2-x)/(x-1)	\int\:\frac{2-x}{x-1}dx
integral of 4+x^2+sin(x)	\int\:4+x^{2}+\sin(x)dx
integral of (sin(x)+1)^2	\int\:(\sin(x)+1)^{2}dx
integral of sin(npix)	\int\:\sin(n\cdot\:π\cdot\:x)dx
integral of 8te^{-t/5}	\int\:8te^{-\frac{t}{5}}dt
integral of ix	\int\:ixdx
integral of 8x^{1/3}-8x^{-1/3}	\int\:8x^{\frac{1}{3}}-8x^{-\frac{1}{3}}dx
integral of 3e^x+4sec^2(x)	\int\:3e^{x}+4\sec^{2}(x)dx
integral of 1/((x-1)(x^2+4))	\int\:\frac{1}{(x-1)(x^{2}+4)}dx
integral of 5e^{3x+1}	\int\:5e^{3x+1}dx
integral of 4e^x+6	\int\:4e^{x}+6dx
integral of 4/(100-x)	\int\:\frac{4}{100-x}dx
integral of 5arccos(x)	\int\:5\arccos(x)dx
integral of ((x+2))/(x^2+2x+2)	\int\:\frac{(x+2)}{x^{2}+2x+2}dx
integral of sinh(x)e^{-x}	\int\:\sinh(x)e^{-x}dx
integral of x^3(1+9x^4)^{-3/2}	\int\:x^{3}(1+9x^{4})^{-\frac{3}{2}}dx
integral of x^5sqrt(2-x^3)	\int\:x^{5}\sqrt{2-x^{3}}dx
integral of (tan^3(x))(sec^3(x))	\int\:(\tan^{3}(x))(\sec^{3}(x))dx
integral of e^{2x^2}(2x)	\int\:e^{2x^{2}}(2x)dx
integral of e^{-2x}sin^2(x)	\int\:e^{-2x}\sin^{2}(x)dx
integral of y^{-1}e^{-y^2}	\int\:y^{-1}e^{-y^{2}}dy
integral of 6(x+2)^2	\int\:6(x+2)^{2}dx

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