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Popular Calculus Problems

integral from 0 to 2 of (2x-9)(8x^2+4)	\int\:_{0}^{2}(2x-9)(8x^{2}+4)dx
integral from x^2 to x of (1+2y)	\int\:_{x^{2}}^{x}(1+2y)dy
integral from 1 to infinity of xe^{-x/2}	\int\:_{1}^{\infty\:}xe^{-\frac{x}{2}}dx
integral from-2pi to 2pi of xsin(0.5nx)	\int\:_{-2π}^{2π}x\sin(0.5nx)dx
integral from 0 to 1 of (ln(x^2))/(x^2)	\int\:_{0}^{1}\frac{\ln(x^{2})}{x^{2}}dx
integral from 0 to 2 of 3-(4e^{0.28t})/(e^{0.28t)+10.13}	\int\:_{0}^{2}3-\frac{4e^{0.28t}}{e^{0.28t}+10.13}dt
integral from 0 to pi of e^{-inx}	\int\:_{0}^{π}e^{-inx}dx
integral from 0 to pi/4 of 5e^{sin(x)}cos(x)	\int\:_{0}^{\frac{π}{4}}5e^{\sin(x)}\cos(x)dx
integral from 0 to 2 of k(4x-2x^2)	\int\:_{0}^{2}k(4x-2x^{2})dx
integral from 0 to 3 of (4x(9-x^2))/(81)	\int\:_{0}^{3}\frac{4x(9-x^{2})}{81}dx
integral from 0 to 2pi of (cos(2x))/2	\int\:_{0}^{2π}\frac{\cos(2x)}{2}dx
integral from 0 to 2 of (y+2)	\int\:_{0}^{2}(y+2)dy
integral from 1 to 3 of tan(3/2 x-1)	\int\:_{1}^{3}\tan(\frac{3}{2}x-1)dx
integral from 0 to 1 of 2x^2+2x+1	\int\:_{0}^{1}2x^{2}+2x+1dx
integral from 0 to pi of x*cos(2x)	\int\:_{0}^{π}x\cdot\:\cos(2x)dx
integral from 0 to 2pi of 9	\int\:_{0}^{2π}9dθ
integral from 0 to 1 of (1-x^2)^{(-1)/2}	\int\:_{0}^{1}(1-x^{2})^{\frac{-1}{2}}dx
integral from 0 to 1 of 6xsqrt(4x^2+1)	\int\:_{0}^{1}6x\sqrt{4x^{2}+1}dx
integral from 0 to 2 of 4x-x^2-x^2	\int\:_{0}^{2}4x-x^{2}-x^{2}dx
integral from 0 to 10 of e^{-2x}	\int\:_{0}^{10}e^{-2x}dx
integral from 1 to 3 of x^3+2x^2-5x+2	\int\:_{1}^{3}x^{3}+2x^{2}-5x+2dx
integral from 0 to 3 of sqrt(9-y^2)	\int\:_{0}^{3}\sqrt{9-y^{2}}dy
integral from 0 to 8 of 8	\int\:_{0}^{8}8dx
integral from 0 to 1 of k(1-y)y^n	\int\:_{0}^{1}k\cdot\:(1-y)\cdot\:y^{n}dy
integral from-1 to 2 of-x+2	\int\:_{-1}^{2}-x+2dx
integral from-pi/2 to pi/2 of 7sin(x)	\int\:_{-\frac{π}{2}}^{\frac{π}{2}}7\sin(x)dx
integral from 3 to 7 of (x-3)(x+6)	\int\:_{3}^{7}(x-3)(x+6)dx
integral from 3 to 9 of 1/(9+x^2)	\int\:_{3}^{9}\frac{1}{9+x^{2}}dx
integral from 0 to 4 of 9+2sqrt(x)	\int\:_{0}^{4}9+2\sqrt{x}dx
integral from 0 to 1 of sin^2(kpix)	\int\:_{0}^{1}\sin^{2}(kπx)dx
integral from 0 to 4 of 2/(3x+4)	\int\:_{0}^{4}\frac{2}{3x+4}dx
integral from-1 to 2 of-x^2+6	\int\:_{-1}^{2}-x^{2}+6dx
integral from 2 to 7 of t^5ln(t)	\int\:_{2}^{7}t^{5}\ln(t)dt
integral from-1 to 5 of (x+5)	\int\:_{-1}^{5}(x+5)dx
integral from-pi to pi of picos(nx)	\int\:_{-π}^{π}π\cos(nx)dx
integral from-3 to 3 of x^2sqrt(9-x^2)	\int\:_{-3}^{3}x^{2}\sqrt{9-x^{2}}dx
integral from 0 to 6 of (8x-1)^2	\int\:_{0}^{6}(8x-1)^{2}dx
integral from 0 to b of 10x^2	\int\:_{0}^{b}10x^{2}dx
integral from-1 to 2 of (5x^3+2x^2-x)	\int\:_{-1}^{2}(5x^{3}+2x^{2}-x)dx
integral from 3 to 3x+5 of t/(1+t^3)	\int\:_{3}^{3x+5}\frac{t}{1+t^{3}}dt
integral from 0 to pi/(30) of cos(5x)	\int\:_{0}^{\frac{π}{30}}\cos(5x)dx
integral from 1 to infinity of e^{-100x}	\int\:_{1}^{\infty\:}e^{-100x}dx
integral from 0 to 6 of t^2	\int\:_{0}^{6}t^{2}dt
integral from 0 to 1 of (4x^3)	\int\:_{0}^{1}(4x^{3})dx
integral from 0 to 5 of pix^2	\int\:_{0}^{5}πx^{2}dx
integral from-3 to 0 of (6x-e^x)	\int\:_{-3}^{0}(6x-e^{x})dx
integral from 0 to 4 of 1/(64t^2+25)	\int\:_{0}^{4}\frac{1}{64t^{2}+25}dt
integral from 1 to 2 of 64/3-8y^2	\int\:_{1}^{2}\frac{64}{3}-8y^{2}dy
integral from 0 to pi/2 of 3cos(t)	\int\:_{0}^{\frac{π}{2}}3\cos(t)dt
integral from 0 to 1/2 of 4xe^{2x}	\int\:_{0}^{\frac{1}{2}}4xe^{2x}dx
integral from 0 to pi/2 of 9sin^3(θ)	\int\:_{0}^{\frac{π}{2}}9\sin^{3}(θ)dθ
integral from-2 to x of (8t^2-7t)	\int\:_{-2}^{x}(8t^{2}-7t)dt
integral from 0 to infinity of e^{-3}	\int\:_{0}^{\infty\:}e^{-3}dx
integral from-1 to 3 of x(x^2-3)	\int\:_{-1}^{3}x(x^{2}-3)dx
integral from 1 to 2 of (8t^3-6t^{-2})	\int\:_{1}^{2}(8t^{3}-6t^{-2})dt
integral from 0 to pi of sqrt(1-cos(θ))	\int\:_{0}^{π}\sqrt{1-\cos(θ)}dθ
integral from 0 to 1 of x^3e^{sqrt(x)}	\int\:_{0}^{1}x^{3}e^{\sqrt{x}}dx
integral from 1 to infinity of te^{-t}	\int\:_{1}^{\infty\:}te^{-t}dt
integral from 1 to 9 of (x+1)/(sqrt(x))	\int\:_{1}^{9}\frac{x+1}{\sqrt{x}}dx
integral from 0 to x^2 of cos(x^3)	\int\:_{0}^{x^{2}}\cos(x^{3})dx
integral from-1 to 2 of sqrt(5+4x^2)	\int\:_{-1}^{2}\sqrt{5+4x^{2}}dx
integral from x to 0 of e^{-5t}	\int\:_{x}^{0}e^{-5t}dt
integral from 1 to 3 of (4x-2e^{3x})	\int\:_{1}^{3}(4x-2e^{3x})dx
integral from 0 to a of cos(x)	\int\:_{0}^{a}\cos(x)dx
integral from 0 to 2 of axe^{ax^2}	\int\:_{0}^{2}axe^{ax^{2}}dx
integral from 3 to 4 of (2x-1)^5	\int\:_{3}^{4}(2x-1)^{5}dx
integral from-5 to 5 of x^2-25	\int\:_{-5}^{5}x^{2}-25dx
integral from 0 to 4 of (2x+1)^3	\int\:_{0}^{4}(2x+1)^{3}dx
integral from 3 to 5 of 6x^2+8	\int\:_{3}^{5}6x^{2}+8dx
integral from 4 to 8 of (2x+15)e^{0.25x}	\int\:_{4}^{8}(2x+15)e^{0.25x}dx
integral from 1 to 2 of 10\sqrt[3]{y^2}	\int\:_{1}^{2}10\sqrt[3]{y^{2}}dy
integral from 0 to 1 of x(x^2+1)^2	\int\:_{0}^{1}x(x^{2}+1)^{2}dx
integral from 0 to 7 of 9x-x^2-2x	\int\:_{0}^{7}9x-x^{2}-2xdx
integral from 0 to 3 of 3^{5x}	\int\:_{0}^{3}3^{5x}dx
integral from e to e^3 of (ln(x^3))/x	\int\:_{e}^{e^{3}}\frac{\ln(x^{3})}{x}dx
integral from 0 to 1 of sqrt(1-e^{-x)}	\int\:_{0}^{1}\sqrt{1-e^{-x}}dx
integral from 0 to 1 of 4e^{4t}(2t+1/2)	\int\:_{0}^{1}4e^{4t}(2t+\frac{1}{2})dt
integral from-1 to 0 of sin(x)	\int\:_{-1}^{0}\sin(x)dx
integral from 1 to 2 of e^x-x	\int\:_{1}^{2}e^{x}-xdx
integral from x to 8 of 1/(sqrt(1+t^2))	\int\:_{x}^{8}\frac{1}{\sqrt{1+t^{2}}}dt
integral from 0 to 10 of xe^{-2x}	\int\:_{0}^{10}xe^{-2x}dx
integral from 0 to 2 of x/(x-2)	\int\:_{0}^{2}\frac{x}{x-2}dx
integral from 1 to e^3 of (4ln(x))/x	\int\:_{1}^{e^{3}}\frac{4\ln(x)}{x}dx
integral from-1 to 3 of 3x^2+8x	\int\:_{-1}^{3}3x^{2}+8xdx
integral from 6 to 7 of 3^x	\int\:_{6}^{7}3^{x}dx
integral from 1 to infinity of arccot(x)	\int\:_{1}^{\infty\:}\arccot(x)dx
integral from 0 to (3pi)/2 of 7sin(x)	\int\:_{0}^{\frac{3π}{2}}7\sin(x)dx
integral from 0 to 1 of x^3e^{-4x}	\int\:_{0}^{1}x^{3}e^{-4x}dx
integral from 0 to 20 of 840-42x	\int\:_{0}^{20}840-42xdx
integral from 0 to 18 of \|x-9\|	\int\:_{0}^{18}\left\|x-9\right\|dx
integral from 0 to pi of 1cos(n)x	\int\:_{0}^{π}1\cos(n)xdx
integral from 0 to 2 of x^4-4x^2	\int\:_{0}^{2}x^{4}-4x^{2}dx
integral from-0.5 to 0.5 of x^2	\int\:_{-0.5}^{0.5}x^{2}dx
integral from 2 to 4 of 2x(4+x^2)^3	\int\:_{2}^{4}2x(4+x^{2})^{3}dx
integral from 0 to 5 of x/(a+bx^2)	\int\:_{0}^{5}\frac{x}{a+bx^{2}}dx
integral from 0 to 1 of x^9(1+x^{10})^9	\int\:_{0}^{1}x^{9}(1+x^{10})^{9}dx
integral from-1 to 1 of (x^3+1)/(x^2+1)	\int\:_{-1}^{1}\frac{x^{3}+1}{x^{2}+1}dx
integral from 1/2 to 2 of 5-5/(x^2)	\int\:_{\frac{1}{2}}^{2}5-\frac{5}{x^{2}}dx
integral from 0 to 1 of (x^2-1)^2	\int\:_{0}^{1}(x^{2}-1)^{2}dx
integral from 2 to 4 of 3x^2-2	\int\:_{2}^{4}3x^{2}-2dx

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