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Popular Calculus Problems

integral from 0 to pi of sin(3x)sin(nx)	\int\:_{0}^{π}\sin(3x)\sin(nx)dx
integral from 7 to 9 of \|f(4x)\|	\int\:_{7}^{9}\left\|f(4x)\right\|dx
integral from 1 to 2 of (7-6x)^2	\int\:_{1}^{2}(7-6x)^{2}dx
integral from-1 to 1 of x^2cos(x)	\int\:_{-1}^{1}x^{2}\cos(x)dx
integral from 0 to 0.5 of 1/((1-x)^2)	\int\:_{0}^{0.5}\frac{1}{(1-x)^{2}}dx
integral from 1 to 1.5 of sqrt(1+36x)	\int\:_{1}^{1.5}\sqrt{1+36x}dx
integral from 0 to 4 of sqrt(x+2)-x	\int\:_{0}^{4}\sqrt{x+2}-xdx
integral from-1 to 4 of (3x^4-5x^3-x-6)	\int\:_{-1}^{4}(3x^{4}-5x^{3}-x-6)dx
integral from 0 to 1-x of x	\int\:_{0}^{1-x}xdx
integral from 0 to 1 of cos(nx)	\int\:_{0}^{1}\cos(nx)dx
integral from 0 to 1 of x+x^3	\int\:_{0}^{1}x+x^{3}dx
integral from-2 to 1 of 2x^2+1	\int\:_{-2}^{1}2x^{2}+1dx
integral from 0 to 2pi of cos(t)sin^2(t)	\int\:_{0}^{2π}\cos(t)\sin^{2}(t)dt
integral from 0 to 2 of 15sqrt(4x+1)	\int\:_{0}^{2}15\sqrt{4x+1}dx
integral from 5 to x of 1/(1+t^4)	\int\:_{5}^{x}\frac{1}{1+t^{4}}dt
integral from-1 to 1 of x^2y^2z^2	\int\:_{-1}^{1}x^{2}y^{2}z^{2}dx
integral from 0 to y of 3x	\int\:_{0}^{y}3xdx
integral from 0 to 6 of (36-x^2)	\int\:_{0}^{6}(36-x^{2})dx
integral from 0 to 8 of 16x-128	\int\:_{0}^{8}16x-128dx
integral from 2 to 3 of e^{4x+3.2}	\int\:_{2}^{3}e^{4x+3.2}dx
integral from 0 to 2 of x/(e^{2x)}	\int\:_{0}^{2}\frac{x}{e^{2x}}dx
integral from-1 to 1 of 4x^2+3	\int\:_{-1}^{1}4x^{2}+3dx
integral from 0 to 5 of (4x-1)^2	\int\:_{0}^{5}(4x-1)^{2}dx
integral from 0 to 2 of cx^2	\int\:_{0}^{2}cx^{2}dx
integral from 2 to 10 of x/2-2/x	\int\:_{2}^{10}\frac{x}{2}-\frac{2}{x}dx
integral from-1 to x of 3/2 x^2	\int\:_{-1}^{x}\frac{3}{2}x^{2}dx
integral from 0 to 2pi of (sin^2(t))	\int\:_{0}^{2π}(\sin^{2}(t))dt
integral from-1 to 2 of (x+2)	\int\:_{-1}^{2}(x+2)dx
integral from-pi/2 to pi/2 of 3cos^3(x)	\int\:_{-\frac{π}{2}}^{\frac{π}{2}}3\cos^{3}(x)dx
integral from 0 to 1 of (10)/(t^2+1)	\int\:_{0}^{1}\frac{10}{t^{2}+1}dt
integral from 0 to t of 1/(t+10)	\int\:_{0}^{t}\frac{1}{t+10}dt
integral from 0 to 1 of 4x^3(3x^4-3)^5	\int\:_{0}^{1}4x^{3}(3x^{4}-3)^{5}dx
integral from 0 to 1 of (x+3)^3	\int\:_{0}^{1}(x+3)^{3}dx
integral from pi/4 to (5pi)/4 of sin(x)	\int\:_{\frac{π}{4}}^{\frac{5π}{4}}\sin(x)dx
integral from-1 to 3 of 1/((y+2)^3)	\int\:_{-1}^{3}\frac{1}{(y+2)^{3}}dy
integral from 3 to 4 of 2^{-x}	\int\:_{3}^{4}2^{-x}dx
integral from 0 to l of (x/l)^2	\int\:_{0}^{l}(\frac{x}{l})^{2}dx
integral from 0 to 2 of (-x^2-3x)	\int\:_{0}^{2}(-x^{2}-3x)dx
integral from 1 to 4 of (12(ln(x))^5)/x	\int\:_{1}^{4}\frac{12(\ln(x))^{5}}{x}dx
integral from 0 to x of e^{(-t^2)/2}	\int\:_{0}^{x}e^{\frac{-t^{2}}{2}}dt
integral from 2.7 to 8.3 of (12x^2-6x+4)	\int\:_{2.7}^{8.3}(12x^{2}-6x+4)dx
integral from 0 to 1 of 1x	\int\:_{0}^{1}1xdx
integral from 0 to 5 of x^2+1	\int\:_{0}^{5}x^{2}+1dx
integral from 0 to 5 of x^2+5	\int\:_{0}^{5}x^{2}+5dx
integral from 0 to 3 of piy^{2/3}	\int\:_{0}^{3}πy^{\frac{2}{3}}dy
integral from 2x to x^5 of e^{-t^2}	\int\:_{2x}^{x^{5}}e^{-t^{2}}dt
integral from 1 to 3 of (x^3+4x)/(x^5)	\int\:_{1}^{3}\frac{x^{3}+4x}{x^{5}}dx
integral from 0 to 1 of (2x^2+4x+1)	\int\:_{0}^{1}(2x^{2}+4x+1)dx
integral from 0 to 2pi of sin(x)sin(x)	\int\:_{0}^{2π}\sin(x)\sin(x)dx
integral from 0 to 4 of 1/(64x^2+25)	\int\:_{0}^{4}\frac{1}{64x^{2}+25}dx
integral from-1 to 1 of sin(x^3)	\int\:_{-1}^{1}\sin(x^{3})dx
integral from 0 to 0.1 of ln(1+x^3)	\int\:_{0}^{0.1}\ln(1+x^{3})dx
integral from 0 to 1 of x^2-x^6	\int\:_{0}^{1}x^{2}-x^{6}dx
integral from x^2 to x of 1	\int\:_{x^{2}}^{x}1dy
integral from-1 to 1 of x^4sqrt(1-x^2)	\int\:_{-1}^{1}x^{4}\sqrt{1-x^{2}}dx
integral from-4 to 5 of-x^2+x+20	\int\:_{-4}^{5}-x^{2}+x+20dx
integral from 4 to 6 of x^2+2x-2	\int\:_{4}^{6}x^{2}+2x-2dx
integral from 0 to 2 of x^4-8x	\int\:_{0}^{2}x^{4}-8xdx
integral from 0 to 1 of 4+3x^2	\int\:_{0}^{1}4+3x^{2}dx
integral from-3 to-1 of 1/(x^2)-1/(x^3)	\int\:_{-3}^{-1}\frac{1}{x^{2}}-\frac{1}{x^{3}}dx
integral from pi/2 to pi of 4sin(x)	\int\:_{\frac{π}{2}}^{π}4\sin(x)dx
integral from 2 to 3 of 6/(x^2)	\int\:_{2}^{3}\frac{6}{x^{2}}dx
integral from 0 to 1 of x/(sqrt(2x^2+1))	\int\:_{0}^{1}\frac{x}{\sqrt{2x^{2}+1}}dx
integral from 1 to 3 of 3^{2x}	\int\:_{1}^{3}3^{2x}dx
integral from 3 to 5 of x/((x^2+7)^3)	\int\:_{3}^{5}\frac{x}{(x^{2}+7)^{3}}dx
integral from-1 to 1 of x^3(x^2+1)	\int\:_{-1}^{1}x^{3}(x^{2}+1)dx
integral from 0 to 2 of sin(2x)	\int\:_{0}^{2}\sin(2x)dx
integral from-1 to 1 of e^y	\int\:_{-1}^{1}e^{y}dy
integral from 0 to 1 of (3x-1)^4	\int\:_{0}^{1}(3x-1)^{4}dx
integral from 0 to 2 of 3x^2+2x	\int\:_{0}^{2}3x^{2}+2xdx
integral from 0 to 4 of xe^{-x^2}	\int\:_{0}^{4}xe^{-x^{2}}dx
integral from 0 to 1 of 2/x	\int\:_{0}^{1}\frac{2}{x}dx
integral from-10 to 20 of 9pi	\int\:_{-10}^{20}9πdx
integral from 0 to 7 of 49-x^2	\int\:_{0}^{7}49-x^{2}dx
integral from 0 to 1 of 5/(sqrt(9-4x^2))	\int\:_{0}^{1}\frac{5}{\sqrt{9-4x^{2}}}dx
integral from 2 to 5 of 5^{3x}	\int\:_{2}^{5}5^{3x}dx
integral from 0 to 1/2 of 1/(100x^2+25)	\int\:_{0}^{\frac{1}{2}}\frac{1}{100x^{2}+25}dx
integral from 0 to 1 of 1/(sqrt(x)+1)	\int\:_{0}^{1}\frac{1}{\sqrt{x}+1}dx
integral from 0 to 1 of sqrt(2x+7)	\int\:_{0}^{1}\sqrt{2x+7}dx
integral from 1 to 4 of sqrt(3x+1)	\int\:_{1}^{4}\sqrt{3x+1}dx
integral from 3 to x of-2/(t^3)	\int\:_{3}^{x}-\frac{2}{t^{3}}dt
integral from-1 to 1 of k(2x+4)	\int\:_{-1}^{1}k(2x+4)dx
integral from 0 to 4 of xe^{2x}	\int\:_{0}^{4}xe^{2x}dx
integral from 0 to 1 of sin(3pit)	\int\:_{0}^{1}\sin(3πt)dt
integral from 2 to 4 of 3x^2ln(2x)	\int\:_{2}^{4}3x^{2}\ln(2x)dx
integral from 1 to e^x of 4ln(x)	\int\:_{1}^{e^{x}}4\ln(x)dx
integral from 0 to 1 of 2xy	\int\:_{0}^{1}2xydx
integral from-pi/2 to pi/2 of (-cos(x))	\int\:_{-\frac{π}{2}}^{\frac{π}{2}}(-\cos(x))dx
integral from 0 to x of 3/x	\int\:_{0}^{x}\frac{3}{x}dx
integral from 0 to 2 of (2x)/(x^2+4)	\int\:_{0}^{2}\frac{2x}{x^{2}+4}dx
integral from 0 to 5 of 1/(sqrt(5-x))	\int\:_{0}^{5}\frac{1}{\sqrt{5-x}}dx
integral from 0 to 5 of-x^2+9	\int\:_{0}^{5}-x^{2}+9dx
integral from 0 to b of 1/32 ve^{-(v^2)/(64)}	\int\:_{0}^{b}\frac{1}{32}ve^{-\frac{v^{2}}{64}}dv
integral from 0.25 to 4 of 1/(sqrt(x))	\int\:_{0.25}^{4}\frac{1}{\sqrt{x}}dx
integral from 1 to 2 of 4^{5x}	\int\:_{1}^{2}4^{5x}dx
integral from-5 to 0 of 2(t+1)^{1/3}	\int\:_{-5}^{0}2(t+1)^{\frac{1}{3}}dt
integral from 0 to 1.7 of \sqrt[3]{3x+4}	\int\:_{0}^{1.7}\sqrt[3]{3x+4}dx
integral from-2 to 1 of (2-x^2)-(x)	\int\:_{-2}^{1}(2-x^{2})-(x)dx
integral from 0 to 2 of xe^{5x}	\int\:_{0}^{2}xe^{5x}dx
integral from-10 to 10 of (\|x\|+5)	\int\:_{-10}^{10}(\left\|x\right\|+5)dx

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