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Popular Calculus Problems

integral of (9-4x)^8	\int\:(9-4x)^{8}dx
integral of (1+1/x)^3*1/(x^2)	\int\:(1+\frac{1}{x})^{3}\cdot\:\frac{1}{x^{2}}dx
integral of 2x^2-x+100	\int\:2x^{2}-x+100dx
integral of (4x)/((2x^2+3)^{10)}	\int\:\frac{4x}{(2x^{2}+3)^{10}}dx
integral of sqrt(1+x^2)	integral\:\sqrt{1+x^{2}}
integral of 3/(sin^2(x))	\int\:\frac{3}{\sin^{2}(x)}dx
integral of t(1.2)^t	\int\:t(1.2)^{t}dt
integral of (x-5)sin(pix)	\int\:(x-5)\sin(πx)dx
integral of x^4(x^5-4)^5	\int\:x^{4}(x^{5}-4)^{5}dx
integral of e^{ln(sin(x))}	\int\:e^{\ln(\sin(x))}dx
integral of 1/(sqrt(x)*(\sqrt{x)+1)}	\int\:\frac{1}{\sqrt{x}\cdot\:(\sqrt{x}+1)}dx
integral of ((sqrt(y))/5+2/(sqrt(y)))	\int\:(\frac{\sqrt{y}}{5}+\frac{2}{\sqrt{y}})dy
integral of e^{2x}+e^x	\int\:e^{2x}+e^{x}dx
integral of (4x^2+7)^2	\int\:(4x^{2}+7)^{2}dx
integral of (1-x)/((x+1)^2)	\int\:\frac{1-x}{(x+1)^{2}}dx
integral of 3x^2-2x-1	\int\:3x^{2}-2x-1dx
integral of x/(cos^2(3x))	\int\:\frac{x}{\cos^{2}(3x)}dx
integral of sec^2(x)*tan^3(x)	\int\:\sec^{2}(x)\cdot\:\tan^{3}(x)dx
integral of (3x^2+5)sqrt(x^3+5x)	\int\:(3x^{2}+5)\sqrt{x^{3}+5x}dx
integral of (sqrt(3-x^2))/x	\int\:\frac{\sqrt{3-x^{2}}}{x}dx
integral of (x)^3	\int\:(x)^{3}dx
integral of 1/(sqrt(4-t^2))	\int\:\frac{1}{\sqrt{4-t^{2}}}dt
integral of 2/(cos(3x)-1)	\int\:\frac{2}{\cos(3x)-1}dx
integral of 1/(sqrt(x^2+4x+53))	\int\:\frac{1}{\sqrt{x^{2}+4x+53}}dx
integral of x^4sqrt(14+x^5)	\int\:x^{4}\sqrt{14+x^{5}}dx
integral of 2-x^3	\int\:2-x^{3}dx
integral of (1+cos(x))/(1-cos(x))	\int\:\frac{1+\cos(x)}{1-\cos(x)}dx
integral of-sin(x)cos(nx)	\int\:-\sin(x)\cos(nx)dx
integral of tan(x)sec^2(x)e^{tan(x)}	\int\:\tan(x)\sec^{2}(x)e^{\tan(x)}dx
integral of e^{2x}csc^2(e^{2x})	\int\:e^{2x}\csc^{2}(e^{2x})dx
integral of 1/(x^2)sec^2(1/x)	\int\:\frac{1}{x^{2}}\sec^{2}(\frac{1}{x})dx
integral of sin^8(x/7)cos(x/7)	\int\:\sin^{8}(\frac{x}{7})\cos(\frac{x}{7})dx
integral of 6tan(x)sec^7(x)	\int\:6\tan(x)\sec^{7}(x)dx
integral of (h^2)/(sqrt(h))	\int\:\frac{h^{2}}{\sqrt{h}}dh
integral of 3/(5x-2)	\int\:\frac{3}{5x-2}dx
integral of ((x-4x^2))/3	\int\:\frac{(x-4x^{2})}{3}dx
integral of (2x^2+x+1)/(x^3+x)	\int\:\frac{2x^{2}+x+1}{x^{3}+x}dx
integral of (4-cos(3x))^2	\int\:(4-\cos(3x))^{2}dx
integral of (x^2+x+4)sqrt(x+3)	\int\:(x^{2}+x+4)\sqrt{x+3}dx
integral of 1/(sqrt(4-5x))	\int\:\frac{1}{\sqrt{4-5x}}dx
integral of x^2(2x^3-3)^5	\int\:x^{2}(2x^{3}-3)^{5}dx
integral of (x-1)/(x^3-2x^2+x)	\int\:\frac{x-1}{x^{3}-2x^{2}+x}dx
integral of 1/(sqrt(1-u))	\int\:\frac{1}{\sqrt{1-u}}du
integral of ((x^3+1))/((x^2+1)^2)	\int\:\frac{(x^{3}+1)}{(x^{2}+1)^{2}}dx
integral of sin(α)x	\int\:\sin(α)xdx
integral of x^2*cos(ax)	\int\:x^{2}\cdot\:\cos(ax)dx
integral of (x^5-9x^3-6x^2-18)/(x^3-9x)	\int\:\frac{x^{5}-9x^{3}-6x^{2}-18}{x^{3}-9x}dx
integral of sqrt(81+x^2)	\int\:\sqrt{81+x^{2}}dx
integral of (5x^2+2x^{-2})	\int\:(5x^{2}+2x^{-2})dx
integral of 1/(sqrt(3y+1))	\int\:\frac{1}{\sqrt{3y+1}}dy
integral of 3sec^2(x)+1/(x^2)+2^x-4	\int\:3\sec^{2}(x)+\frac{1}{x^{2}}+2^{x}-4dx
integral of 8*2^{-x}-2	\int\:8\cdot\:2^{-x}-2dx
integral of (e^x)/((e^x+1)^{15)}	\int\:\frac{e^{x}}{(e^{x}+1)^{15}}dx
integral of y^3-y	\int\:y^{3}-ydy
integral of 4sec(2x)	\int\:4\sec(2x)dx
integral of 9^{x+1}	\int\:9^{x+1}dx
integral of (1-ln(y))	\int\:(1-\ln(y))dy
integral of e^x(1+x^2)/((x+1)^2)	\int\:e^{x}\frac{1+x^{2}}{(x+1)^{2}}dx
integral of 2/(\sqrt[3]{x^4)}+3csc^2(x)	\int\:\frac{2}{\sqrt[3]{x^{4}}}+3\csc^{2}(x)dx
integral of (xe^x)/(2(1+x)^2)	\int\:\frac{xe^{x}}{2(1+x)^{2}}dx
integral of (4x+4)	\int\:(4x+4)dx
integral of 1/(1+x)+1/(1-x)	\int\:\frac{1}{1+x}+\frac{1}{1-x}dx
integral of 2^{9-x}-64	\int\:2^{9-x}-64dx
integral of 5/(sqrt(3x+1))	\int\:\frac{5}{\sqrt{3x+1}}dx
integral of xcos^2(pix)	\int\:x\cos^{2}(πx)dx
integral of (1/x+2e^{2x})	\int\:(\frac{1}{x}+2e^{2x})dx
integral of-2x^3ln(2x)	\int\:-2x^{3}\ln(2x)dx
integral of (e^{6x})/(e^{6x)+9}	\int\:\frac{e^{6x}}{e^{6x}+9}dx
integral of (18x^7)/(9x^8+9)	\int\:\frac{18x^{7}}{9x^{8}+9}dx
integral of (3\sqrt[4]{x^3})/4	\int\:\frac{3\sqrt[4]{x^{3}}}{4}dx
integral of (x^4)/(sqrt(1-25x^{10))}	\int\:\frac{x^{4}}{\sqrt{1-25x^{10}}}dx
integral of 2/x+x/2	\int\:\frac{2}{x}+\frac{x}{2}dx
integral of (3sec^2(x)-2csc^2(x))	\int\:(3\sec^{2}(x)-2\csc^{2}(x))dx
integral of (x+1)/(x^2+x+2)	\int\:\frac{x+1}{x^{2}+x+2}dx
integral of ((1-sin^2(x))/(cos(x)))	\int\:(\frac{1-\sin^{2}(x)}{\cos(x)})dx
integral of 1/x-1/(x+1)	\int\:\frac{1}{x}-\frac{1}{x+1}dx
integral of 3/(2\sqrt[3]{(4x-1)^2)}	\int\:\frac{3}{2\sqrt[3]{(4x-1)^{2}}}dx
integral of (x-2)/(sqrt(x^2-4x+7))	\int\:\frac{x-2}{\sqrt{x^{2}-4x+7}}dx
integral of-(4cos(x))/(3-10sin(x))	\int\:-\frac{4\cos(x)}{3-10\sin(x)}dx
integral of 1/(sqrt(x^2+4x-2))	\int\:\frac{1}{\sqrt{x^{2}+4x-2}}dx
integral of 6x^2-6	\int\:6x^{2}-6dx
integral of 1/(x(x-1)(x^2-x+1)^2)	\int\:\frac{1}{x(x-1)(x^{2}-x+1)^{2}}dx
integral of 0.3e^x	\int\:0.3e^{x}dx
integral of (arctan^4(x))/(x^2+1)	\int\:\frac{\arctan^{4}(x)}{x^{2}+1}dx
integral of 1/(sqrt(x)(4+x))	\int\:\frac{1}{\sqrt{x}(4+x)}dx
integral of (sinh(x)+sinh^3(x))	\int\:(\sinh(x)+\sinh^{3}(x))dx
integral of-3/(y^4)	\int\:-\frac{3}{y^{4}}dy
integral of 2^x*7^x	\int\:2^{x}\cdot\:7^{x}dx
integral of 1/([(x-1)^2+1]^2)x-1)	\int\:\frac{1}{[(x-1)^{2}+1]^{2}}d(x-1)dx
integral of (x^3)/(1+x^6)	\int\:\frac{x^{3}}{1+x^{6}}dx
integral of sin^3(x)+sin(x)	\int\:\sin^{3}(x)+\sin(x)dx
integral of (-10)/(xsqrt(x+1))	\int\:\frac{-10}{x\sqrt{x+1}}dx
integral of 1/(2x+8)	\int\:\frac{1}{2x+8}dx
integral of 4/(\sqrt[3]{x)}-5\sqrt[3]{x^2}	\int\:\frac{4}{\sqrt[3]{x}}-5\sqrt[3]{x^{2}}dx
integral of (x^2+3x+1)^3(2x+3)	\int\:(x^{2}+3x+1)^{3}(2x+3)dx
integral of 2/(tsqrt(4t^4-1))	\int\:\frac{2}{t\sqrt{4t^{4}-1}}dt
integral of x^2(x^3-1)^7	\int\:x^{2}(x^{3}-1)^{7}dx
integral of ((x-3)^2)/x	\int\:\frac{(x-3)^{2}}{x}dx
integral of x^{1/4}+5	\int\:x^{\frac{1}{4}}+5dx
integral of (2x+100)^{-3}	\int\:(2x+100)^{-3}dx

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