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Popular Calculus Problems

integral from 3 to 6 of (x-3)^2	\int\:_{3}^{6}(x-3)^{2}dx
integral from-2 to-1 of 3x^2-3	\int\:_{-2}^{-1}3x^{2}-3dx
integral from 0 to 4 of 3/(sqrt(5x+7))	\int\:_{0}^{4}\frac{3}{\sqrt{5x+7}}dx
integral from 0 to 1 of (1-sqrt(x))	\int\:_{0}^{1}(1-\sqrt{x})dx
integral from 1 to 6 of 6x	\int\:_{1}^{6}6xdx
integral from 0 to 5 of (x-4)^2	\int\:_{0}^{5}(x-4)^{2}dx
integral from-2 to 2 of (x^4-3x^2)	\int\:_{-2}^{2}(x^{4}-3x^{2})dx
integral from 0 to pi of 8cos^2(x)	\int\:_{0}^{π}8\cos^{2}(x)dx
integral from 0 to 2 of 1/(2x-1)	\int\:_{0}^{2}\frac{1}{2x-1}dx
integral from 0 to 3 of \|3t-8\|	\int\:_{0}^{3}\left\|3t-8\right\|dt
integral from 1 to 5 of (2x)/((x^2+1)^2)	\int\:_{1}^{5}\frac{2x}{(x^{2}+1)^{2}}dx
integral from 0 to 6 of 7/(8x^2+9x+1)	\int\:_{0}^{6}\frac{7}{8x^{2}+9x+1}dx
integral from-1 to 1 of x/(1+\|x\|)	\int\:_{-1}^{1}\frac{x}{1+\left\|x\right\|}dx
integral from 1 to 3 of (3x^2+1)	\int\:_{1}^{3}(3x^{2}+1)dx
integral from 1 to e of (2x^2+1)/x	\int\:_{1}^{e}\frac{2x^{2}+1}{x}dx
integral from-8 to 8 of 8-\|x\|	\int\:_{-8}^{8}8-\left\|x\right\|dx
integral from-1 to 3 of x+1	\int\:_{-1}^{3}x+1dx
integral from 1 to e^2 of (8ln(x))/x	\int\:_{1}^{e^{2}}\frac{8\ln(x)}{x}dx
integral from 0 to 0.9 of e^{-x^2}	\int\:_{0}^{0.9}e^{-x^{2}}dx
integral from 0 to 1 of xye^{x^2y}	\int\:_{0}^{1}xye^{x^{2}y}dx
integral from sqrt(pi) to 0 of xsin(x^2)	\int\:_{\sqrt{π}}^{0}x\sin(x^{2})dx
integral from 1 to 2 of (3x^2+x+2)/x	\int\:_{1}^{2}\frac{3x^{2}+x+2}{x}dx
integral from 0 to 5 of (3x+11)/(x+2)	\int\:_{0}^{5}\frac{3x+11}{x+2}dx
integral from 0 to 1 of e^{sin(x)}cos(x)	\int\:_{0}^{1}e^{\sin(x)}\cos(x)dx
integral from 0 to 7 of 3tsqrt(49-t^2)	\int\:_{0}^{7}3t\sqrt{49-t^{2}}dt
integral from 1 to 3 of (6/x-e^{-x})	\int\:_{1}^{3}(\frac{6}{x}-e^{-x})dx
integral from 0 to 6 of (9x^2+x-5)	\int\:_{0}^{6}(9x^{2}+x-5)dx
integral from 0 to x of 1/((1-x)(2-x))	\int\:_{0}^{x}\frac{1}{(1-x)(2-x)}dx
integral from-2 to 1 of (2x^2+7)	\int\:_{-2}^{1}(2x^{2}+7)dx
integral from 0 to 9 of sqrt(1+9x)	\int\:_{0}^{9}\sqrt{1+9x}dx
integral from 0 to t of y(t-w)e^{-4w}	\int\:_{0}^{t}y(t-w)e^{-4w}dw
integral from 0 to 1 of ye^{-y^2}	\int\:_{0}^{1}ye^{-y^{2}}dy
integral from-4 to 1 of sqrt(2-x)	\int\:_{-4}^{1}\sqrt{2-x}dx
integral from 0 to 5 of (x-5)^2	\int\:_{0}^{5}(x-5)^{2}dx
integral from-2 to 2 of x-1	\int\:_{-2}^{2}x-1dx
integral from 1 to 10 of 1	\int\:_{1}^{10}1
integral from 0 to 2 of (2x+3)^2	\int\:_{0}^{2}(2x+3)^{2}dx
integral from 1 to 2 of (30x^3+6/(x^2))	\int\:_{1}^{2}(30x^{3}+\frac{6}{x^{2}})dx
integral from 1 to 4 of 14x^{5/2}	\int\:_{1}^{4}14x^{\frac{5}{2}}dx
integral from-1 to 1 of sqrt(5-4x)	\int\:_{-1}^{1}\sqrt{5-4x}dx
integral from-1 to 1 of (3x-2)	\int\:_{-1}^{1}(3x-2)dx
integral from 1 to 0 of 6x(2-x)	\int\:_{1}^{0}6x(2-x)dx
integral from 1 to 3 of (3x^2+2)	\int\:_{1}^{3}(3x^{2}+2)dx
integral from 0 to pi of x(sin(x))^2	\int\:_{0}^{π}x(\sin(x))^{2}dx
integral from a to b of sqrt(x)	\int\:_{a}^{b}\sqrt{x}dx
integral from 1 to e^3 of ((ln(x))^2)/x	\int\:_{1}^{e^{3}}\frac{(\ln(x))^{2}}{x}dx
integral from n to infinity of 1/(x^3)	\int\:_{n}^{\infty\:}\frac{1}{x^{3}}dx
integral from 1 to 5 of t^2-2t-15	\int\:_{1}^{5}t^{2}-2t-15dt
integral from-1 to 8 of (10x-x^2)-(3x-8)	\int\:_{-1}^{8}(10x-x^{2})-(3x-8)dx
integral from 1 to 3 of e^{-(x^2)/2}	\int\:_{1}^{3}e^{-\frac{x^{2}}{2}}dx
integral from 4 to 7 of x/(sqrt(x-3))	\int\:_{4}^{7}\frac{x}{\sqrt{x-3}}dx
integral from 0 to 8 of 11000e^{-0.019t}	\int\:_{0}^{8}11000e^{-0.019t}dt
integral from 0 to 5 of 1/(x+1)	\int\:_{0}^{5}\frac{1}{x+1}dx
integral from 0 to 3 of (5x-9)	\int\:_{0}^{3}(5x-9)dx
integral from 0 to 4 of sqrt(1+x^{1/2)}	\int\:_{0}^{4}\sqrt{1+x^{\frac{1}{2}}}dx
integral from 0 to 3 of (9-x^2)^{1/2}	\int\:_{0}^{3}(9-x^{2})^{\frac{1}{2}}dx
integral from 1 to infinity of e^{1/2 x}	\int\:_{1}^{\infty\:}e^{\frac{1}{2}x}dx
integral from 0 to 1 of 1xsqrt(1-x^2)	\int\:_{0}^{1}1x\sqrt{1-x^{2}}dx
integral from 0 to pi/2 of cos(θ)+sin(θ)	\int\:_{0}^{\frac{π}{2}}\cos(θ)+\sin(θ)dθ
integral from-1 to 3 of-3x^2+6x+9	\int\:_{-1}^{3}-3x^{2}+6x+9dx
integral from 0 to arcsin(x) of (cos(x))	\int\:_{0}^{\arcsin(x)}(\cos(x))dx
integral from 0 to pi/6 of 1/(cos^2(8x))	\int\:_{0}^{\frac{π}{6}}\frac{1}{\cos^{2}(8x)}dx
integral from-1 to 1 of 2x+4	\int\:_{-1}^{1}2x+4dx
integral from 20 to x of 1/x	\int\:_{20}^{x}\frac{1}{x}dx
integral from 0 to 4 of 6(1-sqrt(x))^2	\int\:_{0}^{4}6(1-\sqrt{x})^{2}dx
integral from 3 to 4 of x^2+2x+2-8	\int\:_{3}^{4}x^{2}+2x+2-8dx
integral from 0 to X of 1/(1-X)	\int\:_{0}^{X}\frac{1}{1-X}dX
integral from-pi to pi of xsin(mx)	\int\:_{-π}^{π}x\sin(mx)dx
integral from 1 to x^2 of (ln(t))/t	\int\:_{1}^{x^{2}}\frac{\ln(t)}{t}dt
integral from 0 to 4pi of sin^2(t)	\int\:_{0}^{4π}\sin^{2}(t)dt
integral from-1 to 0 of (3x^5-3x^2+2x-1)	\int\:_{-1}^{0}(3x^{5}-3x^{2}+2x-1)dx
integral from 0 to 1 of x^9+9^x	\int\:_{0}^{1}x^{9}+9^{x}dx
integral from 0 to 2 of x(x-4)	\int\:_{0}^{2}x(x-4)dx
integral from 0 to 3 of (10x-2x^3)	\int\:_{0}^{3}(10x-2x^{3})dx
integral from 1 to 2 of 1/(x^2)sin(1/x)	\int\:_{1}^{2}\frac{1}{x^{2}}\sin(\frac{1}{x})dx
integral from 3 to x^3 of ln(x)	\int\:_{3}^{x^{3}}\ln(x)dx
integral from 0 to 1 of te^{(-t^2)/2}	\int\:_{0}^{1}te^{\frac{-t^{2}}{2}}dt
integral from 1 to tan(5x) of sqrt(1-t)	\int\:_{1}^{\tan(5x)}\sqrt{1-t}dt
integral from 0 to 2 of (5x^2-6x+7)	\int\:_{0}^{2}(5x^{2}-6x+7)dx
integral from 0 to 6 of (185)/((x+1)^3)	\int\:_{0}^{6}\frac{185}{(x+1)^{3}}dx
integral from 0 to 4 of r	\int\:_{0}^{4}rdr
integral from 1 to x of e^t	\int\:_{1}^{x}e^{t}dt
integral from 0 to 2 of (2x)/(2+x^2)	\int\:_{0}^{2}\frac{2x}{2+x^{2}}dx
integral from 0 to 2 of x^3(2-x)	\int\:_{0}^{2}x^{3}(2-x)dx
integral from e to infinity of 1/x	\int\:_{e}^{\infty\:}\frac{1}{x}dx
integral from 0 to 3t of (sin(u))/u	\int\:_{0}^{3t}\frac{\sin(u)}{u}du
integral from 0 to infinity of x*e^x	\int\:_{0}^{\infty\:}x\cdot\:e^{x}dx
integral from 0 to pi of xsin(kx)	\int\:_{0}^{π}x\sin(kx)dx
integral from 0 to y of (2x^2)/(y^2)	\int\:_{0}^{y}\frac{2x^{2}}{y^{2}}dx
integral from 1/6 to e of \|ln(x)\|	\int\:_{\frac{1}{6}}^{e}\left\|\ln(x)\right\|dx
integral from 0 to 2pi of cos(x)+1	\int\:_{0}^{2π}\cos(x)+1dx
integral from 0 to y of x*(2x)/(y^2)	\int\:_{0}^{y}x\cdot\:\frac{2x}{y^{2}}dx
integral from-1 to 0 of-sin(npix)	\int\:_{-1}^{0}-\sin(nπx)dx
integral from 0 to a of xsin^2((2pix)/a)	\int\:_{0}^{a}x\sin^{2}(\frac{2πx}{a})dx
integral from 0 to 12 of 144-x^2	\int\:_{0}^{12}144-x^{2}dx
integral from 0 to 5 of 1/(25+t^2)	\int\:_{0}^{5}\frac{1}{25+t^{2}}dt
integral from 2 to 3 of e^{2-x}	\int\:_{2}^{3}e^{2-x}dx
integral from 3 to 4 of ln(x^3-2x^2)	\int\:_{3}^{4}\ln(x^{3}-2x^{2})dx
integral from 1 to 6 of 7/x	\int\:_{1}^{6}\frac{7}{x}dx
integral from 0 to 2 of (2x-x)	\int\:_{0}^{2}(2x-x)dx

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