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Popular Calculus Problems

integral of (x-4)/(x^3+x^2-2x)	\int\:\frac{x-4}{x^{3}+x^{2}-2x}dx
integral of sin^2(x/4)cos^2(x/4)	\int\:\sin^{2}(\frac{x}{4})\cos^{2}(\frac{x}{4})dx
integral of (sin(arctan(x)))/(1+x^2)	\int\:\frac{\sin(\arctan(x))}{1+x^{2}}dx
integral of 3/(3x-1)	\int\:\frac{3}{3x-1}dx
integral of \sqrt[5]{x}ln(x)	\int\:\sqrt[5]{x}\ln(x)dx
integral of (x^2)/2 e^x	\int\:\frac{x^{2}}{2}e^{x}dx
integral of (x+5)/(x^2-6x+3)	\int\:\frac{x+5}{x^{2}-6x+3}dx
integral of t/((4-t^2)^{3/2)}	\int\:\frac{t}{(4-t^{2})^{\frac{3}{2}}}dt
integral of 2e^{4z}	\int\:2e^{4z}dz
integral of 1/(sqrt(3+2x))	\int\:\frac{1}{\sqrt{3+2x}}dx
integral of x/(\sqrt[3]{x-10)}	\int\:\frac{x}{\sqrt[3]{x-10}}dx
integral of 1/(3x^2-6x+12)	\int\:\frac{1}{3x^{2}-6x+12}dx
integral of \sqrt[4]{6}+\sqrt[4]{x}	\int\:\sqrt[4]{6}+\sqrt[4]{x}dx
integral of xsqrt(5x+2)	\int\:x\sqrt{5x+2}dx
integral of 1/((x+1)^2)	integral\:\frac{1}{(x+1)^{2}}
integral of x^{1/2}+4	\int\:x^{\frac{1}{2}}+4dx
integral of 2/pi arcsin(x-1)+1	\int\:\frac{2}{π}\arcsin(x-1)+1dx
integral of x^6sin(6x)	\int\:x^{6}\sin(6x)dx
integral of (x^2)/3+1	\int\:\frac{x^{2}}{3}+1dx
integral of e^{3x}e^{2x}	\int\:e^{3x}e^{2x}dx
integral of sin^3(5x)cos^2(5x)	\int\:\sin^{3}(5x)\cos^{2}(5x)dx
integral of sin^n(x)cos(x)	\int\:\sin^{n}(x)\cos(x)dx
integral of e^{2t^2}	\int\:e^{2t^{2}}dt
integral of (100)/(1+x^2)	\int\:\frac{100}{1+x^{2}}dx
integral of (x^2+2x)/(x^2+4)	\int\:\frac{x^{2}+2x}{x^{2}+4}dx
integral of 3/((3x-2)ln(3x-2))	\int\:\frac{3}{(3x-2)\ln(3x-2)}dx
integral of (64)/(x^2+16)	\int\:\frac{64}{x^{2}+16}dx
integral of 1/(sqrt(1-64t^2))	\int\:\frac{1}{\sqrt{1-64t^{2}}}dt
integral of ([ln(x)]^2)/x	\int\:\frac{[\ln(x)]^{2}}{x}dx
integral of 1/(sqrt(x)+(1+\sqrt{x))^2}	\int\:\frac{1}{\sqrt{x}+(1+\sqrt{x})^{2}}dx
integral of 2x^3e^{-x}	\int\:2x^{3}e^{-x}dx
integral of 2t+0	\int\:2t+0dt
integral of (x^4)/(\sqrt[7]{x^5+1)}	\int\:\frac{x^{4}}{\sqrt[7]{x^{5}+1}}dx
integral of (5x^4)/(x^5-1)	\int\:\frac{5x^{4}}{x^{5}-1}dx
integral of (y^2)/(1+y^2)	\int\:\frac{y^{2}}{1+y^{2}}dy
integral of (x+9/2)e^{x^2+9x+1}	\int\:(x+\frac{9}{2})e^{x^{2}+9x+1}dx
integral of ln(3x^2+1)	\int\:\ln(3x^{2}+1)dx
integral of-1x^5e^{x^6}	\int\:-1x^{5}e^{x^{6}}dx
integral of (x^2+13)/(sqrt(x^2+9))	\int\:\frac{x^{2}+13}{\sqrt{x^{2}+9}}dx
integral of (2x+1)/(x^2+x+2)	\int\:\frac{2x+1}{x^{2}+x+2}dx
integral of sin(5x-pi)	\int\:\sin(5x-π)dx
integral of 48(1+x^2)(7+12x+4x^3)^{10}	\int\:48(1+x^{2})(7+12x+4x^{3})^{10}dx
integral of-xsin(xy)-2y	\int\:-x\sin(xy)-2ydy
integral of x^5(x^6+2)^{10}	\int\:x^{5}(x^{6}+2)^{10}dx
integral of (xsec^2(x))	\int\:(x\sec^{2}(x))dx
integral of (8r)/(4r^2-5)	\int\:\frac{8r}{4r^{2}-5}dr
integral of 15sec^2(x)tan^2(x)	\int\:15\sec^{2}(x)\tan^{2}(x)dx
integral of x/((x+5)sqrt(x+2))	\int\:\frac{x}{(x+5)\sqrt{x+2}}dx
integral of (3x^2)/(1-x^4)	\int\:\frac{3x^{2}}{1-x^{4}}dx
integral of xsqrt(16-x)	\int\:x\sqrt{16-x}dx
integral of 5x^2e^{x/3}	\int\:5x^{2}e^{\frac{x}{3}}dx
integral of 3x^2-5x	\int\:3x^{2}-5xdx
integral of 3ye^{6y^2}	\int\:3ye^{6y^{2}}dy
integral of (x+5)/(x^2-2x-3)	\int\:\frac{x+5}{x^{2}-2x-3}dx
integral of 1/(x^2-sqrt(2)x+1)	\int\:\frac{1}{x^{2}-\sqrt{2}x+1}dx
integral of In^3x	\int\:In^{3}xdx
integral of 24-0.03x+0.006x^2	\int\:24-0.03x+0.006x^{2}dx
integral of (x+1)^6	\int\:(x+1)^{6}dx
integral of (4+5x)^5	\int\:(4+5x)^{5}dx
integral of (xe^{x^2}-x/(x^2+7))	\int\:(xe^{x^{2}}-\frac{x}{x^{2}+7})dx
integral of sqrt(x/(x+1))	\int\:\sqrt{\frac{x}{x+1}}dx
integral of (6x+8)/(x(x+2)^2)	\int\:\frac{6x+8}{x(x+2)^{2}}dx
integral of 9cos(pix)	\int\:9\cos(πx)dx
integral of (3x^2)/(4+100x^6)	\int\:\frac{3x^{2}}{4+100x^{6}}dx
integral of (3x+2)/(x^2+x)	\int\:\frac{3x+2}{x^{2}+x}dx
integral of e^rr	\int\:e^{r}rdr
integral of (5x-2)/(x^2-2x)	\int\:\frac{5x-2}{x^{2}-2x}dx
integral of (2sin(2x))/(sin(x))	\int\:\frac{2\sin(2x)}{\sin(x)}dx
integral of e^y+1	\int\:e^{y}+1dy
integral of (x^2)/((2-x^2)^{3/2)}	\int\:\frac{x^{2}}{(2-x^{2})^{\frac{3}{2}}}dx
integral of 1/(1+sqrt(1+2x))	\int\:\frac{1}{1+\sqrt{1+2x}}dx
integral of 4csc^2(2x)cot(2x)	\int\:4\csc^{2}(2x)\cot(2x)dx
integral of (x^{4/7}+5)/(x^{3/7)}	\int\:\frac{x^{\frac{4}{7}}+5}{x^{\frac{3}{7}}}dx
integral of x^3sqrt(2x^4+5)	\int\:x^{3}\sqrt{2x^{4}+5}dx
integral of 5/(1+5t^2)	\int\:\frac{5}{1+5t^{2}}dt
integral of tsqrt(t+3)	\int\:t\sqrt{t+3}dt
integral of (x+2x^3)	\int\:(x+2x^{3})dx
integral of 2xarcsin(x^2)	\int\:2x\arcsin(x^{2})dx
integral of (sqrt(arctan(x)))/(x^2+1)	\int\:\frac{\sqrt{\arctan(x)}}{x^{2}+1}dx
integral of ((x+1))/((x^2-2x+5))	\int\:\frac{(x+1)}{(x^{2}-2x+5)}dx
integral of csc^6(x/2)	\int\:\csc^{6}(\frac{x}{2})dx
integral of (1/2 e^x+3/4 2^x)	\int\:(\frac{1}{2}e^{x}+\frac{3}{4}2^{x})dx
integral of e^{yz}	\int\:e^{yz}dx
integral of x/(sqrt(x^2-2x+x))	\int\:\frac{x}{\sqrt{x^{2}-2x+x}}dx
integral of (x+x^2)/(sqrt(x))	\int\:\frac{x+x^{2}}{\sqrt{x}}dx
integral of (2-x)sqrt(x)	\int\:(2-x)\sqrt{x}dx
integral of (x^2)/(\sqrt[3]{x^3+1)}	\int\:\frac{x^{2}}{\sqrt[3]{x^{3}+1}}dx
integral of 1/(2x^2+4x+7)	\int\:\frac{1}{2x^{2}+4x+7}dx
integral of 2x(x^2+4)^8	\int\:2x(x^{2}+4)^{8}dx
integral of 1/(sqrt(s^2-16))	\int\:\frac{1}{\sqrt{s^{2}-16}}ds
integral of 6x^{-4}	\int\:6x^{-4}dx
integral of 2e^{-x}+3	\int\:2e^{-x}+3dx
integral of ((3x^2-sqrt(x)))/(5x)	\int\:\frac{(3x^{2}-\sqrt{x})}{5x}dx
integral of (2x^3+3)	\int\:(2x^{3}+3)dx
integral of (x^2)/(sin(x^3))	\int\:\frac{x^{2}}{\sin(x^{3})}dx
integral of (ln(y))/(y^3)	\int\:\frac{\ln(y)}{y^{3}}dy
integral of (ln(x^2+1))/(x^2)	\int\:\frac{\ln(x^{2}+1)}{x^{2}}dx
integral of e^{-9x^2}	\int\:e^{-9x^{2}}dx
integral of (x^2+3)3x^2	\int\:(x^{2}+3)3x^{2}dx
integral of (x+2)/((x^2+4x+1)^2)	\int\:\frac{x+2}{(x^{2}+4x+1)^{2}}dx

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