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Popular Calculus Problems
integral from 0 to pi/4 of 8sin(x)
\int\:_{0}^{\frac{π}{4}}8\sin(x)dx
integral from 0 to pi/2 of ysin(x)
\int\:_{0}^{\frac{π}{2}}y\sin(x)dx
integral from 2y^2-2 to y^2+y of y
\int\:_{2y^{2}-2}^{y^{2}+y}ydy
integral from-5 to 10 of 25-x^2
\int\:_{-5}^{10}25-x^{2}dx
integral from x to 2 of e^{y^2}
\int\:_{x}^{2}e^{y^{2}}dy
integral from 0 to 9 of (4x^2+x^{3/2})
\int\:_{0}^{9}(4x^{2}+x^{\frac{3}{2}})dx
integral from 0 to infinity of 4xe^{ax}
\int\:_{0}^{\infty\:}4xe^{ax}dx
integral from 3 to 5 of (x+1)/(x^2-2x)
\int\:_{3}^{5}\frac{x+1}{x^{2}-2x}dx
integral from-pi to pi of x^3cos(nx)
\int\:_{-π}^{π}x^{3}\cos(nx)dx
integral from 0 to infinity of θe^{-θx}
\int\:_{0}^{\infty\:}θe^{-θx}dx
integral from 0 to 3 of 8/(sqrt(7x+6))
\int\:_{0}^{3}\frac{8}{\sqrt{7x+6}}dx
integral from 0 to x of (36-x^2)/(144)
\int\:_{0}^{x}\frac{36-x^{2}}{144}dx
integral from 0 to b of e^{-st}t
\int\:_{0}^{b}e^{-st}tdt
integral from 6 to 8 of 4x+50e^{-0.2x}
\int\:_{6}^{8}4x+50e^{-0.2x}dx
integral from 0 to 2 of 2y^2
\int\:_{0}^{2}2y^{2}dy
integral from 0 to 2 of arctan(x)
\int\:_{0}^{2}\arctan(x)dx
integral from 0 to ln(4) of e^x
\int\:_{0}^{\ln(4)}e^{x}dx
integral from-1 to-1 of 2x
\int\:_{-1}^{-1}2xdx
integral from 0 to 3 of xy
\int\:_{0}^{3}xydx
integral from 1 to 5 of 1/(x-0)
\int\:_{1}^{5}\frac{1}{x-0}dx
integral from 0 to 2pi of 4sin(x)
\int\:_{0}^{2π}4\sin(x)dx
integral from 0 to 10 of sin(x)
\int\:_{0}^{10}\sin(x)dx
integral from 2 to 3 of x^2(1+2x^3)^3
\int\:_{2}^{3}x^{2}(1+2x^{3})^{3}dx
integral from 0 to sqrt(y of)4x^2z^3
\int\:_{0}^{\sqrt{y}}4x^{2}z^{3}dz
integral from x^2 to 4 of 3x
\int\:_{x^{2}}^{4}3xdx
integral from-pi to pi of cos(4x)
\int\:_{-π}^{π}\cos(4x)dx
integral from 0.75 to 1 of 3x^2
\int\:_{0.75}^{1}3x^{2}dx
integral from 0 to 3 of (-x^2+9)
\int\:_{0}^{3}(-x^{2}+9)dx
integral from-5 to 5 of sin(3x)
\int\:_{-5}^{5}\sin(3x)dx
integral from 2 to 7 of (4x^2-2x)
\int\:_{2}^{7}(4x^{2}-2x)dx
integral from-1 to 2 of 1-x^2
\int\:_{-1}^{2}1-x^{2}dx
integral from-2 to 1 of e^{x+2}
\int\:_{-2}^{1}e^{x+2}dx
integral from 0 to pi of sin(nx)sin(x)
\int\:_{0}^{π}\sin(nx)\sin(x)dx
integral from 0 to 9 of |x-6|
\int\:_{0}^{9}\left|x-6\right|dx
integral from 0 to pi/4 of sec(t)tan(t)
\int\:_{0}^{\frac{π}{4}}\sec(t)\tan(t)dt
integral from-2 to 0 of 2xsqrt(x^2+9)
\int\:_{-2}^{0}2x\sqrt{x^{2}+9}dx
integral from-2 to 0 of (2+x^2)
\int\:_{-2}^{0}(2+x^{2})dx
integral from 0 to h of y^2
\int\:_{0}^{h}y^{2}dy
integral from-1 to 1 of 1/(3x-4)
\int\:_{-1}^{1}\frac{1}{3x-4}dx
integral from e to x of sin(t)
\int\:_{e}^{x}\sin(t)dt
integral from 0 to 1.2 of \sqrt[3]{3x+4}
\int\:_{0}^{1.2}\sqrt[3]{3x+4}dx
integral from 0 to 1/2 of x(1-4x^2)^{10}
\int\:_{0}^{\frac{1}{2}}x(1-4x^{2})^{10}dx
integral from 2 to infinity of te^{-st}
\int\:_{2}^{\infty\:}te^{-st}dt
integral from-1 to 0 of sqrt(3x+4)
\int\:_{-1}^{0}\sqrt{3x+4}dx
integral from 0 to 2 of (6t^2i-4tj+3k)
\int\:_{0}^{2}(6t^{2}i-4tj+3k)dt
integral from 5 to 10 of (2x)/(x^2+1)
\int\:_{5}^{10}\frac{2x}{x^{2}+1}dx
integral from 0 to 3 of tsqrt(1+16t^2)
\int\:_{0}^{3}t\sqrt{1+16t^{2}}dt
integral from 1 to 3 of 1/(1+x^2)
\int\:_{1}^{3}\frac{1}{1+x^{2}}dx
integral from 0 to 2 of 3tsqrt(4-t^2)
\int\:_{0}^{2}3t\sqrt{4-t^{2}}dt
integral from 0 to pi/3 of (7sec^2(x))
\int\:_{0}^{\frac{π}{3}}(7\sec^{2}(x))dx
integral from 2 to 3 of 2x+5
\int\:_{2}^{3}2x+5dx
integral from a to b of g(x)
\int\:_{a}^{b}g(x)dx
integral from 125 to 1 of x^3
\int\:_{125}^{1}x^{3}dx
integral from 0 to x^4 of sec(t)
\int\:_{0}^{x^{4}}\sec(t)dt
integral from 0 to 1/2 of e^{x^2}
\int\:_{0}^{\frac{1}{2}}e^{x^{2}}dx
integral from-2 to 3 of (4x-3)
\int\:_{-2}^{3}(4x-3)dx
integral from 0 to 4 of (2sqrt(x)-x)
\int\:_{0}^{4}(2\sqrt{x}-x)dx
integral from-1 to 3 of (5x^4+3x^2)
\int\:_{-1}^{3}(5x^{4}+3x^{2})dx
integral from 0 to 8 of (x^2)
\int\:_{0}^{8}(x^{2})dx
integral from-pi to pi of (x+pi)sin(nx)
\int\:_{-π}^{π}(x+π)\sin(nx)dx
integral from 0 to 1 of (cos(x))/x
\int\:_{0}^{1}\frac{\cos(x)}{x}dx
integral from 0 to infinity of ce^{-x}
\int\:_{0}^{\infty\:}ce^{-x}dx
integral from 0 to 25 of 1/(sqrt(x))
\int\:_{0}^{25}\frac{1}{\sqrt{x}}dx
integral from 1 to 3 of 9/(x^3)
\int\:_{1}^{3}\frac{9}{x^{3}}dx
integral from 0 to 1 of arctan(x
\int\:_{0}^{1}\arctan(d)xdx
integral from 0 to 1 of 5/(1+p^2)
\int\:_{0}^{1}\frac{5}{1+p^{2}}dp
integral from-5 to 6 of | 1/2 x|
\int\:_{-5}^{6}\left|\frac{1}{2}x\right|dx
integral from 0 to 1 of 5z^4
\int\:_{0}^{1}5z^{4}dz
integral from 3 to 0 of 15w^4-13w^2+w
\int\:_{3}^{0}15w^{4}-13w^{2}+wdw
integral from-5 to 1 of (-x^2-3x)
\int\:_{-5}^{1}(-x^{2}-3x)dx
integral from 50 to 100 of x/(20+3x^2)
\int\:_{50}^{100}\frac{x}{20+3x^{2}}dx
integral from 1 to 4 of 3^{2x}
\int\:_{1}^{4}3^{2x}dx
integral from 0 to 1 of 10e^{2x}
\int\:_{0}^{1}10e^{2x}dx
integral from 3 to 7 of 7
\int\:_{3}^{7}7dx
integral from 0 to pi/(12) of xcos^2(6x)
\int\:_{0}^{\frac{π}{12}}x\cos^{2}(6x)dx
integral from 1 to 3 of (x+1)^3
\int\:_{1}^{3}(x+1)^{3}dx
integral from 0 to 1 of 5x^4(9-x^5)
\int\:_{0}^{1}5x^{4}(9-x^{5})dx
integral from 0 to 1 of (sin(x))
\int\:_{0}^{1}(\sin(x))dx
integral from 0 to ln(x) of e^y
\int\:_{0}^{\ln(x)}e^{y}dy
integral from 1 to 2 of x2^{x^2}
\int\:_{1}^{2}x2^{x^{2}}dx
integral from 0 to 1 of 2+x^{1/3}
\int\:_{0}^{1}2+x^{\frac{1}{3}}dx
integral from 0 to pi of (sin(x))/2
\int\:_{0}^{π}\frac{\sin(x)}{2}dx
integral from 2pi to 3pi of xsin(x)
\int\:_{2π}^{3π}x\sin(x)dx
integral from 1 to 0 of (e^x+e^{-3})
\int\:_{1}^{0}(e^{x}+e^{-3})dx
integral from 0 to r^2 of rsin(θ)
\int\:_{0}^{r^{2}}r\sin(θ)dz
integral from pi/2 to pi of (xsin(x))
\int\:_{\frac{π}{2}}^{π}(x\sin(x))dx
integral from-1 to 0 of-x^2-x
\int\:_{-1}^{0}-x^{2}-xdx
integral from 2 to 4 of xe^{-x/2}
\int\:_{2}^{4}xe^{-\frac{x}{2}}dx
integral from x to 2 of (6(y-x))/8
\int\:_{x}^{2}\frac{6(y-x)}{8}dy
integral from 0 to 1 of 15x^2
\int\:_{0}^{1}15x^{2}dx
integral from 2 to 3 of 1/(ln(x-1))
\int\:_{2}^{3}\frac{1}{\ln(x-1)}dx
integral from 4 to 9 of 1/2 x-sqrt(x)
\int\:_{4}^{9}\frac{1}{2}x-\sqrt{x}dx
integral from 0 to 1 of 4x-4x^2
\int\:_{0}^{1}4x-4x^{2}dx
integral from-3 to 2 of e^{u+3}
\int\:_{-3}^{2}e^{u+3}du
integral from 2 to 3 of 3x^2-(x^3)/4
\int\:_{2}^{3}3x^{2}-\frac{x^{3}}{4}dx
integral from 0 to 0 of sin(x)
\int\:_{0}^{0}\sin(x)dx
integral from 0 to 2 of (2^x+3)
\int\:_{0}^{2}(2^{x}+3)dx
integral from-2 to 5 of x^2
\int\:_{-2}^{5}x^{2}dx
integral from 0 to 1 of (8x^e+3e^x)
\int\:_{0}^{1}(8x^{e}+3e^{x})dx
integral from 0 to 2pi of (sin(x))^4
\int\:_{0}^{2π}(\sin(x))^{4}dx
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