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Popular Calculus Problems

integral from 1 to 2.5 of 3/(2x^2)	\int\:_{1}^{2.5}\frac{3}{2x^{2}}dx
integral from 0 to 1 of te^{-iwt}	\int\:_{0}^{1}te^{-iwt}dt
integral from 1 to 2 of x*e^{2x}	\int\:_{1}^{2}x\cdot\:e^{2x}dx
integral from 1 to 5 of ln(x^2+5x+1)	\int\:_{1}^{5}\ln(x^{2}+5x+1)dx
integral from 0 to pi/2 of pi(sin(x))^2	\int\:_{0}^{\frac{π}{2}}π(\sin(x))^{2}dx
integral from-c to c of 2x^2-2c^2	\int\:_{-c}^{c}2x^{2}-2c^{2}dx
integral from 0 to pi/2 of 64cos^4(x)-4	\int\:_{0}^{\frac{π}{2}}64\cos^{4}(x)-4dx
integral from 0 to pi of sin^3(2x)	\int\:_{0}^{π}\sin^{3}(2x)dx
integral from 0 to 3 of e^xx^2	\int\:_{0}^{3}e^{x}x^{2}dx
integral from-3 to 3 of (9-y^2)	\int\:_{-3}^{3}(9-y^{2})dy
integral from-2 to 2 of (sqrt(8-x^2))	\int\:_{-2}^{2}(\sqrt{8-x^{2}})dx
integral from 1 to 3 of (2x^2-3x+1)	\int\:_{1}^{3}(2x^{2}-3x+1)dx
integral from 1 to infinity of 1/(6^x)	\int\:_{1}^{\infty\:}\frac{1}{6^{x}}dx
integral from (-pi)/2 to pi/2 of 1	\int\:_{\frac{-π}{2}}^{\frac{π}{2}}1dx
integral from 0 to 4 of 2+6sqrt(x)	\int\:_{0}^{4}2+6\sqrt{x}dx
integral from 0 to 4 of x/3	\int\:_{0}^{4}\frac{x}{3}dx
integral from-3 to 2 of 6/(x^3)	\int\:_{-3}^{2}\frac{6}{x^{3}}dx
integral from 8 to 3 of 1	\int\:_{8}^{3}1dx
integral from 0 to 1 of pi(e-e^x)^2	\int\:_{0}^{1}π(e-e^{x})^{2}dx
integral from 0 to b of ln(x)	\int\:_{0}^{b}\ln(x)dx
integral from 0 to 4 of 8+2sqrt(x)	\int\:_{0}^{4}8+2\sqrt{x}dx
integral from 3 to 4 of 6t-18	\int\:_{3}^{4}6t-18dt
integral from-2 to 2 of xsqrt(x^2)	\int\:_{-2}^{2}x\sqrt{x^{2}}dx
integral from 1 to 8 of (x^2+2)	\int\:_{1}^{8}(x^{2}+2)dx
integral from-1 to 1 of (15)/((x+2)^2)	\int\:_{-1}^{1}\frac{15}{(x+2)^{2}}dx
integral from 3 to 1 of 5sqrt(x)	\int\:_{3}^{1}5\sqrt{x}dx
integral from 1 to infinity of 1/((x+1))	\int\:_{1}^{\infty\:}\frac{1}{(x+1)}dx
integral from 0 to 1 of e^{-st}(-1)	\int\:_{0}^{1}e^{-st}(-1)dt
integral from 0 to 2pi of 64	\int\:_{0}^{2π}64dx
integral from 1 to 5 of x^3+1/(x^3)	\int\:_{1}^{5}x^{3}+\frac{1}{x^{3}}dx
integral from 1 to 6 of (x^3+2)	\int\:_{1}^{6}(x^{3}+2)dx
integral from 0 to 4 of 2x-3	\int\:_{0}^{4}2x-3dx
integral from 0 to 8 of e^{-0.1175t}	\int\:_{0}^{8}e^{-0.1175t}dt
integral from 1 to 2 of sqrt(1+16x^2)	\int\:_{1}^{2}\sqrt{1+16x^{2}}dx
integral from 0 to 2 of (2x^2-x^3)	\int\:_{0}^{2}(2x^{2}-x^{3})dx
integral from 0 to 1 of 2te^{-st}	\int\:_{0}^{1}2te^{-st}dt
integral from-4 to 1 of \|2x\|	\int\:_{-4}^{1}\left\|2x\right\|dx
integral from 0 to pi/2 of 2sin(2θ)	\int\:_{0}^{\frac{π}{2}}2\sin(2θ)dθ
integral from 1 to 3 of 3x^2-12	\int\:_{1}^{3}3x^{2}-12dx
integral from 0 to x of 6x	\int\:_{0}^{x}6xdx
integral from 1 to 2 of e^{-nx^2}	\int\:_{1}^{2}e^{-nx^{2}}dx
integral from 0 to pi of (sin(x))/pi	\int\:_{0}^{π}\frac{\sin(x)}{π}dx
integral from 0 to 1 of (5+6xsqrt(x))	\int\:_{0}^{1}(5+6x\sqrt{x})dx
integral from 0 to 1 of (4x+4)/(x^2+1)	\int\:_{0}^{1}\frac{4x+4}{x^{2}+1}dx
integral from-5 to 5 of (ax^2+bx+c)	\int\:_{-5}^{5}(ax^{2}+bx+c)dx
integral from 4 to 10 of 4	\int\:_{4}^{10}4dx
integral from 1 to 4 of sqrt(9x)-x	\int\:_{1}^{4}\sqrt{9x}-xdx
integral from x to pi of cos(t^3)	\int\:_{x}^{π}\cos(t^{3})dt
integral from 0 to pi/4 of sqrt(x)	\int\:_{0}^{\frac{π}{4}}\sqrt{x}dx
integral from 1-x to 1 of e^x	\int\:_{1-x}^{1}e^{x}dx
integral from 0 to 5 of (sqrt(x-1))^2	\int\:_{0}^{5}(\sqrt{x-1})^{2}dx
integral from 1 to 5 of 1/(sqrt(x^2-1))	\int\:_{1}^{5}\frac{1}{\sqrt{x^{2}-1}}dx
integral from-1 to 1 of x^3-9x	\int\:_{-1}^{1}x^{3}-9xdx
integral from-1 to 2 of 6x^2	\int\:_{-1}^{2}6x^{2}dx
integral from-3 to 0 of xe^x	\int\:_{-3}^{0}xe^{x}dx
integral from 0 to 2 of (3x)^2	\int\:_{0}^{2}(3x)^{2}dx
integral from 0 to 1/2 of (1-x^2)^{1/2}	\int\:_{0}^{\frac{1}{2}}(1-x^{2})^{\frac{1}{2}}dx
integral from 0 to 2 of \|2x^3-2\|	\int\:_{0}^{2}\left\|2x^{3}-2\right\|dx
integral from-1 to 4 of 1/(\|x\|)	\int\:_{-1}^{4}\frac{1}{\left\|x\right\|}dx
integral from 0 to 1 of (1-x^2)^{5/2}	\int\:_{0}^{1}(1-x^{2})^{\frac{5}{2}}dx
integral from-2pi to 3pi of cos^2(x)	\int\:_{-2π}^{3π}\cos^{2}(x)dx
integral from 1 to 3 of 1/(x^2-4x+5)	\int\:_{1}^{3}\frac{1}{x^{2}-4x+5}dx
integral from 1 to 3 of (9/14 x^2-2)	\int\:_{1}^{3}(\frac{9}{14}x^{2}-2)dx
integral from 0 to 1+sin(x) of t^2	\int\:_{0}^{1+\sin(x)}t^{2}dt
integral from-1 to 3 of (7-2x)	\int\:_{-1}^{3}(7-2x)dx
integral from 1 to 3 of (2x-1)^2	\int\:_{1}^{3}(2x-1)^{2}dx
integral from-2 to 3 of 1-x^2	\int\:_{-2}^{3}1-x^{2}dx
integral from-2 to 2 of 19-\|x\|^3	\int\:_{-2}^{2}19-\left\|x\right\|^{3}dx
integral from 0 to pi 1/2 of e^{-x^2}	\int\:_{0}^{π\frac{1}{2}}e^{-x^{2}}dx
integral from-4 to 0 of x^3sqrt(256-x^4)	\int\:_{-4}^{0}x^{3}\sqrt{256-x^{4}}dx
integral from 0 to x of (4-t^2)e^{t^2}	\int\:_{0}^{x}(4-t^{2})e^{t^{2}}dt
integral from x to 1 of y	\int\:_{x}^{1}ydy
integral from-5 to 1 of 1/(sqrt(5-4x))	\int\:_{-5}^{1}\frac{1}{\sqrt{5-4x}}dx
integral from-2 to 1 of x^2+2	\int\:_{-2}^{1}x^{2}+2dx
integral from-2 to 2 of sqrt(1+(2x)^2)	\int\:_{-2}^{2}\sqrt{1+(2x)^{2}}dx
integral from 3 to 9 of (1/(x^2))	\int\:_{3}^{9}(\frac{1}{x^{2}})dx
integral from-2 to 4 of (x+2)	\int\:_{-2}^{4}(x+2)dx
integral from 0 to 3 of 1/27 (x+y)	\int\:_{0}^{3}\frac{1}{27}(x+y)dy
integral from 4 to 16 of sqrt(x)-1	\int\:_{4}^{16}\sqrt{x}-1dx
integral from x to 2x of x/y	\int\:_{x}^{2x}\frac{x}{y}dy
integral from 0.4 to 0.6 of 5/3	\int\:_{0.4}^{0.6}\frac{5}{3}dx
integral from 2 to e of (x^2+3)/(x^3+2x)	\int\:_{2}^{e}\frac{x^{2}+3}{x^{3}+2x}dx
integral from 0 to 1 of ln(1+x^2)x	\int\:_{0}^{1}\ln(1+x^{2})xdx
integral from 0 to 1 of sqrt(1-t)	\int\:_{0}^{1}\sqrt{1-t}dt
integral from 0 to 3 of sqrt((9-x^2))	\int\:_{0}^{3}\sqrt{(9-x^{2})}dx
integral from 3 to 4 of 2/(x^2)	\int\:_{3}^{4}\frac{2}{x^{2}}dx
integral from 0 to 1 of (5x^2-6x+6)	\int\:_{0}^{1}(5x^{2}-6x+6)dx
integral from-1 to 1 of x^2+3-4x^2	\int\:_{-1}^{1}x^{2}+3-4x^{2}dx
integral from 0 to 1 of cos(pinx)	\int\:_{0}^{1}\cos(πnx)dx
integral from 0 to 2 of \|x-x^2\|	\int\:_{0}^{2}\left\|x-x^{2}\right\|dx
integral from 1 to 6 of \|x-3\|	\int\:_{1}^{6}\left\|x-3\right\|dx
integral from 0 to x of e^{-t^6}	\int\:_{0}^{x}e^{-t^{6}}dt
integral from 0 to 1 of e^{12x-11}	\int\:_{0}^{1}e^{12x-11}dx
integral from b to a of x^{11}	\int\:_{b}^{a}x^{11}dx
integral from 0 to 2sqrt(3 of) 1/(x^2+4)	\int\:_{0}^{2\sqrt{3}}\frac{1}{x^{2}+4}dx
integral from 0 to infinity of 4/(x^2+1)	\int\:_{0}^{\infty\:}\frac{4}{x^{2}+1}dx
integral from-4 to 2 of 2x+4	\int\:_{-4}^{2}2x+4dx
integral from 1 to 3 of 0	\int\:_{1}^{3}0dx
integral from 0 to t of ue^{-4u}cos(5u)	\int\:_{0}^{t}ue^{-4u}\cos(5u)du
integral from 3 to 4 of 1/(sqrt(x-3))	\int\:_{3}^{4}\frac{1}{\sqrt{x-3}}dx

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