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Popular Calculus Problems

integral from-1/2 to 0 of (2x+1)^{2020}	\int\:_{-\frac{1}{2}}^{0}(2x+1)^{2020}dx
integral from 1 to 8 of 2/t	\int\:_{1}^{8}\frac{2}{t}dt
integral from 0 to 3 of f(3x)	\int\:_{0}^{3}f(3x)dx
integral from 0 to 1 of b(a^{4k-1})	\int\:_{0}^{1}b(a^{4k-1})
integral from 0 to 2 of 2e^{x^2-3x}	\int\:_{0}^{2}2e^{x^{2}-3x}dx
integral from 0 to 4 of x^2*x/8	\int\:_{0}^{4}x^{2}\cdot\:\frac{x}{8}dx
integral from 0 to 4 of 2pix(2sqrt(x))	\int\:_{0}^{4}2πx(2\sqrt{x})dx
integral from 0 to x^4 of e^{-2t}	\int\:_{0}^{x^{4}}e^{-2t}dt
integral from 1 to 2 of 1/x-x/4	\int\:_{1}^{2}\frac{1}{x}-\frac{x}{4}dx
integral from 1 to 8 of (10)/x	\int\:_{1}^{8}\frac{10}{x}dx
integral from-1 to b of x^2(7-x)	\int\:_{-1}^{b}x^{2}(7-x)dx
integral from 0 to 2 of (3x)	\int\:_{0}^{2}(3x)dx
integral from 0 to 1 of 2x^2-2	\int\:_{0}^{1}2x^{2}-2dx
integral from-pi to pi of xsin(ax)	\int\:_{-π}^{π}x\sin(ax)dx
integral from 0 to 1 of (x+1/2)^2	\int\:_{0}^{1}(x+\frac{1}{2})^{2}dx
integral from 0 to pi of (4e^x+4sin(x))	\int\:_{0}^{π}(4e^{x}+4\sin(x))dx
integral from 2 to 6 of (x-3)	\int\:_{2}^{6}(x-3)dx
integral from 1 to 7 of 4/x-4/(x^2)	\int\:_{1}^{7}\frac{4}{x}-\frac{4}{x^{2}}dx
integral from 0 to 20 of pi(sqrt(x))^2	\int\:_{0}^{20}π(\sqrt{x})^{2}dx
integral from 2 to 0 of x^4-2x^3	\int\:_{2}^{0}x^{4}-2x^{3}dx
integral from-2 to 2 of 5x	\int\:_{-2}^{2}5xdx
integral from-2 to 4 of x^2+5x-6	\int\:_{-2}^{4}x^{2}+5x-6dx
integral from a to 9a of 1/x	\int\:_{a}^{9a}\frac{1}{x}dx
integral from 0 to 1 of x^2(1+4x^3)^5	\int\:_{0}^{1}x^{2}(1+4x^{3})^{5}dx
integral from 1 to 3 of x^{-1}+x^2	\int\:_{1}^{3}x^{-1}+x^{2}dx
integral from 0 to 1 of 1/4 x^2	\int\:_{0}^{1}\frac{1}{4}x^{2}dx
integral from 0 to x of sqrt(6+7t^2)	\int\:_{0}^{x}\sqrt{6+7t^{2}}dt
integral from 0 to x of \|x\|	\int\:_{0}^{x}\left\|x\right\|dx
integral from 0 to infinity of yxe^{-xy}	\int\:_{0}^{\infty\:}yxe^{-xy}dy
integral from 6 to 136 of sin^2(x)	\int\:_{6}^{136}\sin^{2}(x)dx
integral from 0 to 5 of 12x^2y^3	\int\:_{0}^{5}12x^{2}y^{3}dx
integral from 3 to-1 of 1/(x^2)	\int\:_{3}^{-1}\frac{1}{x^{2}}dx
integral from-infinity to-2 of 1/x	\int\:_{-\infty\:}^{-2}\frac{1}{x}dx
integral from 0 to 1 of (x^2+8)	\int\:_{0}^{1}(x^{2}+8)dx
integral from-1 to 3 of (-x^2+5x)-(3x-3)	\int\:_{-1}^{3}(-x^{2}+5x)-(3x-3)dx
integral from 0 to 2 of (3+sqrt(2x-x^2))	\int\:_{0}^{2}(3+\sqrt{2x-x^{2}})dx
integral from 0 to pi of 4sin(t)	\int\:_{0}^{π}4\sin(t)dt
integral from 0 to ln(3) of x^2e^{3x}	\int\:_{0}^{\ln(3)}x^{2}e^{3x}dx
integral from 1 to infinity of 8/(x^3)	\int\:_{1}^{\infty\:}\frac{8}{x^{3}}dx
integral from 0 to 1 of ((cos(x)-1)/x)	\int\:_{0}^{1}(\frac{\cos(x)-1}{x})dx
integral from 0 to 1 of cos^4(x)	\int\:_{0}^{1}\cos^{4}(x)dx
integral from 5 to 7 of 4x	\int\:_{5}^{7}4xdx
integral from 2 to 6 of e^{-x/2}	\int\:_{2}^{6}e^{-\frac{x}{2}}dx
integral from 0 to s of s	\int\:_{0}^{s}sds
integral from 3 to 5 of (2+2x)	\int\:_{3}^{5}(2+2x)dx
integral from (7pi)/6 to (11pi)/6 of 1/2 ((-6sin(x))^2-(3)^2)	\int\:_{\frac{7π}{6}}^{\frac{11π}{6}}\frac{1}{2}((-6\sin(x))^{2}-(3)^{2})dx
integral from sqrt(3) to x^3 of cos(t^2)	\int\:_{\sqrt{3}}^{x^{3}}\cos(t^{2})dt
integral from 0 to 2pi of cos^2(6θ)	\int\:_{0}^{2π}\cos^{2}(6θ)dθ
integral from 0 to 1 of (5x+1)e^{5x}	\int\:_{0}^{1}(5x+1)e^{5x}dx
integral from 1 to 3 of (3x)/(2x^2-6)	\int\:_{1}^{3}\frac{3x}{2x^{2}-6}dx
integral from-pi to 2pi of sin(x)	\int\:_{-π}^{2π}\sin(x)dx
integral from 0 to 1 of (e^y-1)	\int\:_{0}^{1}(e^{y}-1)dy
integral from-1 to 0 of (5+sqrt(1-x^2))	\int\:_{-1}^{0}(5+\sqrt{1-x^{2}})dx
integral from 3 to 6 of (5x-25)	\int\:_{3}^{6}(5x-25)dx
integral from 0 to 1 of (e^x+3x-5x^2)	\int\:_{0}^{1}(e^{x}+3x-5x^{2})dx
integral from 0 to 0.24 of (sin(x))/x	\int\:_{0}^{0.24}\frac{\sin(x)}{x}dx
integral from 0 to 1 of ax^3+bx^4	\int\:_{0}^{1}ax^{3}+bx^{4}dx
integral from 0 to 2pi of 6	\int\:_{0}^{2π}6dt
integral from 4 to 5 of (x-4)(5-x)	\int\:_{4}^{5}(x-4)(5-x)dx
integral from 1 to 2 of (xe^x)/y	\int\:_{1}^{2}\frac{xe^{x}}{y}dy
integral from 4.3 to 1.2 of 3x+3/5	\int\:_{4.3}^{1.2}3x+\frac{3}{5}dx
integral from 0 to 1 of e^{2y}	\int\:_{0}^{1}e^{2y}dy
integral from sqrt(3) to 3 of 3/(9+x^2)	\int\:_{\sqrt{3}}^{3}\frac{3}{9+x^{2}}dx
integral from 0 to 8 of 9	\int\:_{0}^{8}9dx
integral from 0 to ln(x) of 1	\int\:_{0}^{\ln(x)}1
integral from 0 to 1 of 3-x^2	\int\:_{0}^{1}3-x^{2}dx
integral from 1 to 4 of 2^x	\int\:_{1}^{4}2^{x}dx
integral from 0 to infinito of 1	\int\:_{0}^{infinito}1dx
integral from-1 to 2 of x^3-x+2	\int\:_{-1}^{2}x^{3}-x+2dx
integral from 1 to 3 of x^6ln(x)	\int\:_{1}^{3}x^{6}\ln(x)dx
integral from 1 to cos(x) of 13t^{12}	\int\:_{1}^{\cos(x)}13t^{12}dt
integral from z^2 to 8-z^2 of z	\int\:_{z^{2}}^{8-z^{2}}zdz
integral from 0 to 2a of x	\int\:_{0}^{2a}xdx
integral from-2 to 0 of (1-x)	\int\:_{-2}^{0}(1-x)dx
integral from 6 to 3 of 9x^2-4x+9	\int\:_{6}^{3}9x^{2}-4x+9dx
integral from 0 to 6 of h(x)	\int\:_{0}^{6}h(x)dx
integral from 1 to 4 of xe^{-x}-e^{-x}	\int\:_{1}^{4}xe^{-x}-e^{-x}dx
integral from-2 to 6 of h(x)	\int\:_{-2}^{6}h(x)dx
integral from 1 to x of 1/(3+t+2t^2)	\int\:_{1}^{x}\frac{1}{3+t+2t^{2}}dt
integral from 0 to 8 of 2	\int\:_{0}^{8}2dx
integral from-1 to 1 of x^3(5+x^4)^3	\int\:_{-1}^{1}x^{3}(5+x^{4})^{3}dx
integral from-1 to 1 of 1/6 (x+3)	\int\:_{-1}^{1}\frac{1}{6}(x+3)dx
integral from 0 to 5 of 5e^x	\int\:_{0}^{5}5e^{x}dx
integral from 1 to 2 of (x^2-5x)	\int\:_{1}^{2}(x^{2}-5x)dx
integral from 0 to a of 6e^x	\int\:_{0}^{a}6e^{x}dx
integral from 0 to pi/3 of cos(x)-1/2	\int\:_{0}^{\frac{π}{3}}\cos(x)-\frac{1}{2}dx
integral from-1 to 3 of sqrt(4-(x-1)^2)	\int\:_{-1}^{3}\sqrt{4-(x-1)^{2}}dx
integral from 0 to 1 of (xarcsin(x^2))	\int\:_{0}^{1}(x\arcsin(x^{2}))dx
integral from 1 to infinity of 7/(x^8)	\int\:_{1}^{\infty\:}\frac{7}{x^{8}}dx
integral from 0 to 1 of (5x^e+8e^x)	\int\:_{0}^{1}(5x^{e}+8e^{x})dx
integral of integral of 1	\int\:\int\:1dxdx
integral from 0 to 2 of integral from x to 2 of 2y^2sin(xy)	\int\:_{0}^{2}\int\:_{x}^{2}2y^{2}\sin(xy)dydx
integral of integral of xy	\int\:\int\:xydxdy
integral of integral of x	\int\:\int\:xdxdx
integral from 0 to 2 of integral from 2x to 4 of e^{-x-2y}	\int\:_{0}^{2}\int\:_{2x}^{4}e^{-x-2y}dydx
integral of integral of (x^2+y^2)	\int\:\int\:(x^{2}+y^{2})dxdy
integral of integral of integral of 1	\int\:\int\:\int\:1
integral from 0 to pi of integral from 0 to pi of cos(x+y)	\int\:_{0}^{π}\int\:_{0}^{π}\cos(x+y)dxdy
integral from pi to 2pi of integral from 0 to pi of (sin(x)+cos(y))	\int\:_{π}^{2π}\int\:_{0}^{π}(\sin(x)+\cos(y))dxdy
integral from 0 to 2/3 of integral from y to 2-2y of (x+2y)e^{(y-x)}	\int\:_{0}^{\frac{2}{3}}\int\:_{y}^{2-2y}(x+2y)e^{(y-x)}dxdy

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