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Popular Calculus Problems

integral from 0 to 3 of (x^3)/3	\int\:_{0}^{3}\frac{x^{3}}{3}dx
integral from 2 to 5 of (2+3x)	\int\:_{2}^{5}(2+3x)dx
integral from 1 to 3 of (2x^2-x)	\int\:_{1}^{3}(2x^{2}-x)dx
integral from-1 to 1 of (2x-4y)	\int\:_{-1}^{1}(2x-4y)dy
integral from 0 to 1 of 1/((1+3y)^2)	\int\:_{0}^{1}\frac{1}{(1+3y)^{2}}dy
integral from 0 to 4 of 5/(sqrt(x))	\int\:_{0}^{4}\frac{5}{\sqrt{x}}dx
integral from 2 to 7 of (3x^2-6x+5)	\int\:_{2}^{7}(3x^{2}-6x+5)dx
integral from 1 to x of log_{1/2}(t)	\int\:_{1}^{x}\log_{\frac{1}{2}}(t)dt
integral from-1 to 1 of 9x^2-1	\int\:_{-1}^{1}9x^{2}-1dx
integral from 2 to infinity of 5/(x^3)	\int\:_{2}^{\infty\:}\frac{5}{x^{3}}dx
integral from 0 to pi of 1/(1+cos^2(x))	\int\:_{0}^{π}\frac{1}{1+\cos^{2}(x)}dx
integral from-2 to 0 of-2	\int\:_{-2}^{0}-2dx
integral from 1 to x^3 of 1/(1+ln(x))	\int\:_{1}^{x^{3}}\frac{1}{1+\ln(x)}dx
integral from 0 to pi/3 of sin^2(θ)	\int\:_{0}^{\frac{π}{3}}\sin^{2}(θ)dθ
integral from 0 to 3pi of 2cos^2(x/3)	\int\:_{0}^{3π}2\cos^{2}(\frac{x}{3})dx
integral from 0 to infinity of e^{-1/5}	\int\:_{0}^{\infty\:}e^{-\frac{1}{5}}
integral from-1 to 1 of 4(1-x^2)-(1-x^2)	\int\:_{-1}^{1}4(1-x^{2})-(1-x^{2})dx
integral from 6 to 100 of 0.5x^{-1.5}	\int\:_{6}^{100}0.5x^{-1.5}dx
integral from 0 to 10 of 9y^{1/3}	\int\:_{0}^{10}9y^{\frac{1}{3}}dy
integral from x^2 to 1 of 10x	\int\:_{x^{2}}^{1}10xdx
integral from 0 to 1 of sin(2t)	\int\:_{0}^{1}\sin(2t)dt
integral from-pi/2 to pi/2 of 6cos(x)	\int\:_{-\frac{π}{2}}^{\frac{π}{2}}6\cos(x)dx
integral from 0 to 1000000 of x	\int\:_{0}^{1000000}xdx
integral from 100 to 300 of (150)/(x^2)	\int\:_{100}^{300}\frac{150}{x^{2}}dx
integral from 2 to y of 1/2 (r-2)	\int\:_{2}^{y}\frac{1}{2}(r-2)dr
integral from 1 to 3 of (3x^2-4x+1)	\int\:_{1}^{3}(3x^{2}-4x+1)dx
integral from-1 to 0 of x/(e^x)	\int\:_{-1}^{0}\frac{x}{e^{x}}dx
integral from 0 to 1 of 1/2 (x^2-x^4)	\int\:_{0}^{1}\frac{1}{2}(x^{2}-x^{4})dx
integral from-infinity to infinity of 2	\int\:_{-\infty\:}^{\infty\:}2dx
integral from 1 to 4 of 1/x-(2x-1)	\int\:_{1}^{4}\frac{1}{x}-(2x-1)dx
integral from 3 to 0 of 5x-x^3	\int\:_{3}^{0}5x-x^{3}dx
integral from 3 to 7 of x/(x-7)	\int\:_{3}^{7}\frac{x}{x-7}dx
integral from 0 to sqrt(3 of)sqrt(x^2+1)	\int\:_{0}^{\sqrt{3}}\sqrt{x^{2}+1}dx
integral from 0 to 1 of 12x(1-x)^2	\int\:_{0}^{1}12x(1-x)^{2}dx
integral from 0 to 1 of 4xe^{7x}	\int\:_{0}^{1}4xe^{7x}dx
integral from 1 to e of (8ln(x))	\int\:_{1}^{e}(8\ln(x))dx
integral from-1 to 2 of (y^2+2)	\int\:_{-1}^{2}(y^{2}+2)dy
integral from 1 to infinity of 1/(x+6)	\int\:_{1}^{\infty\:}\frac{1}{x+6}dx
integral from 11 to 2005 of x^4-2cos(x)	\int\:_{11}^{2005}x^{4}-2\cos(x)dx
integral from 1 to e of (Inx)/x	\int\:_{1}^{e}\frac{Inx}{x}dx
integral from 3 to 5 of sqrt(8+x^2)	\int\:_{3}^{5}\sqrt{8+x^{2}}dx
integral from 0 to pi/2 of cos(0x)	\int\:_{0}^{\frac{π}{2}}\cos(0x)dx
integral from 1 to infinity of n/(e^n)	\int\:_{1}^{\infty\:}\frac{n}{e^{n}}
integral from 1 to 3 of 1-x/3	\int\:_{1}^{3}1-\frac{x}{3}dx
integral from 6 to 10 of 0.5x^{-1.5}	\int\:_{6}^{10}0.5x^{-1.5}dx
integral from 1 to 1 of ln(2x)	\int\:_{1}^{1}\ln(2x)dx
integral from 0 to x of 1/((1-x)^{0.4)}	\int\:_{0}^{x}\frac{1}{(1-x)^{0.4}}dx
integral from 1 to 2 of 3x+2	\int\:_{1}^{2}3x+2dx
integral from 1/2 to 1 of (ln(x))/(4x)	\int\:_{\frac{1}{2}}^{1}\frac{\ln(x)}{4x}dx
integral from 6 to 10 of y/(y^2-2y-3)	\int\:_{6}^{10}\frac{y}{y^{2}-2y-3}dy
integral from 0 to 1 of pi(x^2+1)	\int\:_{0}^{1}π(x^{2}+1)dx
integral from-1 to 0 of (3e^{1/x})/(x^3)	\int\:_{-1}^{0}\frac{3e^{\frac{1}{x}}}{x^{3}}dx
integral from 1 to 4 of (x-(x-2)^2)	\int\:_{1}^{4}(x-(x-2)^{2})dx
integral from pi/4 to (3pi)/4 of 1	\int\:_{\frac{π}{4}}^{\frac{3π}{4}}1
integral from-pi to pi of sin(2x)sin(x)	\int\:_{-π}^{π}\sin(2x)\sin(x)dx
integral from-1 to 1 of 4x^2+7	\int\:_{-1}^{1}4x^{2}+7dx
integral from 0 to 4 of 6e^{2t}	\int\:_{0}^{4}6e^{2t}dt
integral from 1 to t of 2/(x^2+4x+3)	\int\:_{1}^{t}\frac{2}{x^{2}+4x+3}dx
integral from 0 to x of 0.25e^{-0.25t}	\int\:_{0}^{x}0.25e^{-0.25t}dt
integral from 0 to 7 of sin(8x^2)	\int\:_{0}^{7}\sin(8x^{2})dx
integral from 1 to 5 of x^2+x+2	\int\:_{1}^{5}x^{2}+x+2dx
integral from 1 to 4 of 4/(1-3x)	\int\:_{1}^{4}\frac{4}{1-3x}dx
integral from 0 to 1 of 2te^{t^2-1}+3t^7	\int\:_{0}^{1}2te^{t^{2}-1}+3t^{7}dt
integral from-1 to 3 of x^2+2x+1	\int\:_{-1}^{3}x^{2}+2x+1dx
integral from 1 to 4 of (u-8)/(sqrt(u))	\int\:_{1}^{4}\frac{u-8}{\sqrt{u}}du
integral from 2x to x^2 of sqrt(t)	\int\:_{2x}^{x^{2}}\sqrt{t}dt
integral from 0 to 1/5 of 4x	\int\:_{0}^{\frac{1}{5}}4xdx
integral from 1 to 2 of x^2+4	\int\:_{1}^{2}x^{2}+4dx
integral from 3 to 4 of 1/(2-5t)	\int\:_{3}^{4}\frac{1}{2-5t}dt
integral from 0 to 2 of (3x+1)e^{2x}	\int\:_{0}^{2}(3x+1)e^{2x}dx
integral from 1 to 4 of (-5-x^2)	\int\:_{1}^{4}(-5-x^{2})dx
integral from 0 to sqrt(x of)1	\int\:_{0}^{\sqrt{x}}1dy
integral from-1 to 2 of (4/3 x^3+4x^2+x)	\int\:_{-1}^{2}(\frac{4}{3}x^{3}+4x^{2}+x)dx
integral from 0 to 5 of x((2x)/(25))	\int\:_{0}^{5}x(\frac{2x}{25})dx
integral from 0 to 4 of e^{-3t}	\int\:_{0}^{4}e^{-3t}dt
integral from 0 to 18 of x(1/162 x)	\int\:_{0}^{18}x(\frac{1}{162}x)dx
integral from 5 to-5 of-1/5 x^2	\int\:_{5}^{-5}-\frac{1}{5}x^{2}dx
integral from 1 to 3 of (8x^3-x)	\int\:_{1}^{3}(8x^{3}-x)dx
integral from 0 to 2 of e^{-st}(2)	\int\:_{0}^{2}e^{-st}(2)dt
integral from-3 to 2 of x^2-x+3	\int\:_{-3}^{2}x^{2}-x+3dx
integral from 0 to (5pi)/4 of (ln(x)x^2)	\int\:_{0}^{\frac{5π}{4}}(\ln(x)x^{2})dx
integral from 0 to 2 of (1+x/2)	\int\:_{0}^{2}(1+\frac{x}{2})dx
integral from 1 to infinity of 3/(x^6)	\int\:_{1}^{\infty\:}\frac{3}{x^{6}}dx
integral from-2 to 5 of (x+1)	\int\:_{-2}^{5}(x+1)dx
integral from 1 to 4 of (5x+6)	\int\:_{1}^{4}(5x+6)dx
integral from 0 to 1 of 6tsqrt(t^2+1)	\int\:_{0}^{1}6t\sqrt{t^{2}+1}dt
integral from 0 to 11 of \|x-7\|	\int\:_{0}^{11}\left\|x-7\right\|dx
integral from 9 to 12 of 1/8	\int\:_{9}^{12}\frac{1}{8}dx
integral from 0 to 2 of x^2(1+8/(x^2+4))	\int\:_{0}^{2}x^{2}(1+\frac{8}{x^{2}+4})dx
integral from-1 to 1 of x^2 1/2	\int\:_{-1}^{1}x^{2}\frac{1}{2}dx
integral from-1 to 1 of 8-2x^2	\int\:_{-1}^{1}8-2x^{2}dx
integral from 0 to 2 of t^3sqrt(3t^2+1)	\int\:_{0}^{2}t^{3}\sqrt{3t^{2}+1}dt
integral from 0 to 1 of 16x^3	\int\:_{0}^{1}16x^{3}dx
integral from 6 to infinity of 2x^{-3}	\int\:_{6}^{\infty\:}2x^{-3}dx
integral from 0 to 5 of 0.5e^{-0.5x}	\int\:_{0}^{5}0.5e^{-0.5x}dx
integral from-2 to 2 of 1/2 (1-(\|x\|)/2)	\int\:_{-2}^{2}\frac{1}{2}(1-\frac{\left\|x\right\|}{2})dx
integral from 0 to 5 of 7/3 x	\int\:_{0}^{5}\frac{7}{3}xdx
integral from 0 to 6 of 0-(x^2-6x)	\int\:_{0}^{6}0-(x^{2}-6x)dx
integral from 0 to 1 of 2/(3x)	\int\:_{0}^{1}\frac{2}{3x}dx
integral from 1 to 2 of x^2-4	\int\:_{1}^{2}x^{2}-4dx

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