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Popular Calculus Problems
integral from 0 to 1 of x^2(1-x)^2
\int\:_{0}^{1}x^{2}(1-x)^{2}dx
integral from 0 to 11/12 of 20x
\int\:_{0}^{\frac{11}{12}}20xdx
integral from 2 to infinity of 1/(x^2-x)
\int\:_{2}^{\infty\:}\frac{1}{x^{2}-x}dx
integral from 1 to 2 of (6xy^2-4 x/y)
\int\:_{1}^{2}(6xy^{2}-4\frac{x}{y})dy
integral from-1 to 1 of x^2cos(npix)
\int\:_{-1}^{1}x^{2}\cos(nπx)dx
integral from 1 to 2 of 3xe^{3x^2-1}
\int\:_{1}^{2}3xe^{3x^{2}-1}dx
integral from 0 to pi/4 of sec^2(θ)
\int\:_{0}^{\frac{π}{4}}\sec^{2}(θ)dθ
integral from 1 to 5 of (5-x)^2
\int\:_{1}^{5}(5-x)^{2}dx
integral from-2 to-1 of x
\int\:_{-2}^{-1}xdx
integral from 0 to y of e^{-y^2}
\int\:_{0}^{y}e^{-y^{2}}dy
integral from 0 to pi of x^2sin(3x)
\int\:_{0}^{π}x^{2}\sin(3x)dx
integral from 0 to 2 of t
\int\:_{0}^{2}tdt
integral from 0 to pi of (6sin(x))
\int\:_{0}^{π}(6\sin(x))dx
integral from 0 to 1 of sin(5x)
\int\:_{0}^{1}\sin(5x)dx
integral from 0 to 1 of x+3/2 y^2
\int\:_{0}^{1}x+\frac{3}{2}y^{2}dy
integral from-A to A of 1/(1+t^2)
\int\:_{-A}^{A}\frac{1}{1+t^{2}}dt
integral from 1/2 to 1 of sin(2pi)x
\int\:_{\frac{1}{2}}^{1}\sin(2π)xdx
integral from-7 to infinity of-2e^{2x}
\int\:_{-7}^{\infty\:}-2e^{2x}dx
integral from 1 to e^2 of xln(x)
\int\:_{1}^{e^{2}}x\ln(x)dx
integral from 0 to 1 of 4cos((pix)/2)
\int\:_{0}^{1}4\cos(\frac{πx}{2})dx
integral from 0 to 1 of (x^{11}+11^x)
\int\:_{0}^{1}(x^{11}+11^{x})dx
integral from-2 to 1 of (2-x-x^2)
\int\:_{-2}^{1}(2-x-x^{2})dx
integral from-1 to 1 of x-x^3
\int\:_{-1}^{1}x-x^{3}dx
integral from 0 to 2 of x(x^2+1)^3
\int\:_{0}^{2}x(x^{2}+1)^{3}dx
integral from 0 to pi/4 of xtan^2(x)
\int\:_{0}^{\frac{π}{4}}x\tan^{2}(x)dx
integral from 1 to e of (ln(x))^3
\int\:_{1}^{e}(\ln(x))^{3}dx
integral from 0 to sqrt(3 of)sqrt(3-x^2)
\int\:_{0}^{\sqrt{3}}\sqrt{3-x^{2}}dx
integral from 4 to 6 of x
\int\:_{4}^{6}xdx
integral from-1 to 5 of 4x(1-x^2)
\int\:_{-1}^{5}4x(1-x^{2})dx
integral from-1 to 2 of 2x^2
\int\:_{-1}^{2}2x^{2}dx
integral from 1 to 3 of xe^x
\int\:_{1}^{3}xe^{x}dx
integral from 0 to pi/2 of sin(x)cos(2x)
\int\:_{0}^{\frac{π}{2}}\sin(x)\cos(2x)dx
integral from 0 to 3 of e^{5x}
\int\:_{0}^{3}e^{5x}dx
integral from-1 to 0 of 1/(x^2-25)
\int\:_{-1}^{0}\frac{1}{x^{2}-25}dx
integral from 1 to 4 of 3x
\int\:_{1}^{4}3xdx
integral from 0 to pi of sin(x)*cos(x)
\int\:_{0}^{π}\sin(x)\cdot\:\cos(x)dx
integral from 0 to 1 of (1+x)
\int\:_{0}^{1}(1+x)dx
integral from 0 to pi of tsin(3t)
\int\:_{0}^{π}t\sin(3t)dt
integral from-infinity to infinity of 1/(x^2+6x+109)
\int\:_{-\infty\:}^{\infty\:}\frac{1}{x^{2}+6x+109}dx
integral from 0 to 1 of (xe^x)/((1+x)^2)
\int\:_{0}^{1}\frac{xe^{x}}{(1+x)^{2}}dx
integral from-1 to 1 of sqrt(x^2)
\int\:_{-1}^{1}\sqrt{x^{2}}dx
integral from 0 to 1 of (2-x)e^x
\int\:_{0}^{1}(2-x)e^{x}dx
integral from 0 to 1 of (4x)/3+y^2
\int\:_{0}^{1}\frac{4x}{3}+y^{2}dy
integral from-1 to 5 of 1
\int\:_{-1}^{5}1dx
integral from 0 to pi of (10sin(x))
\int\:_{0}^{π}(10\sin(x))dx
integral from 1 to 2 of 4/x
\int\:_{1}^{2}\frac{4}{x}dx
integral from-4 to 6 of 1/(sqrt(6-x))
\int\:_{-4}^{6}\frac{1}{\sqrt{6-x}}dx
integral from 1 to 2 of x^5sqrt(x^3+8)
\int\:_{1}^{2}x^{5}\sqrt{x^{3}+8}dx
integral from 0 to 1 of (u+8)(u-9)
\int\:_{0}^{1}(u+8)(u-9)du
integral from 5 to 11 of |sin(x)|
\int\:_{5}^{11}\left|\sin(x)\right|dx
integral from-1 to 1 of (e^x-e^{-x})
\int\:_{-1}^{1}(e^{x}-e^{-x})dx
integral from 0 to 2 of |x^2-x|
\int\:_{0}^{2}\left|x^{2}-x\right|dx
integral from x to x+2 of 1/24 (x+y)
\int\:_{x}^{x+2}\frac{1}{24}(x+y)dy
integral from 0 to 1 of (x^2+2)e^{4x}
\int\:_{0}^{1}(x^{2}+2)e^{4x}dx
integral from 0 to pi of 1+cos(x)
\int\:_{0}^{π}1+\cos(x)dx
integral from 0 to 0.5 of e^{-x^2}
\int\:_{0}^{0.5}e^{-x^{2}}dx
integral from 0 to 1 of sqrt(x^2+y^2)
\int\:_{0}^{1}\sqrt{x^{2}+y^{2}}dx
integral from 0 to 1 of 1/(x^2-9)
\int\:_{0}^{1}\frac{1}{x^{2}-9}dx
integral from 0 to pi of 2xsin(x)
\int\:_{0}^{π}2x\sin(x)dx
integral from 1 to 10 of ln(x)
\int\:_{1}^{10}\ln(x)dx
integral from-1 to 1 of |x-1|
\int\:_{-1}^{1}\left|x-1\right|dx
integral from 0 to 2pi of x^2sin(x)
\int\:_{0}^{2π}x^{2}\sin(x)dx
integral from 0 to (5pi)/6 of sin(x)
\int\:_{0}^{\frac{5π}{6}}\sin(x)dx
integral from 0 to 1 of 8cos((pix)/2)
\int\:_{0}^{1}8\cos(\frac{πx}{2})dx
integral from 0 to 1 of (x^2+x-1)
\int\:_{0}^{1}(x^{2}+x-1)dx
integral from 0 to 2pi of cos(nx)
\int\:_{0}^{2π}\cos(nx)dx
integral from 0 to 3x of f(t)
\int\:_{0}^{3x}f(t)dt
integral from 2 to infinity of 1/(1-x^2)
\int\:_{2}^{\infty\:}\frac{1}{1-x^{2}}dx
integral from 0 to ln(3) of e^{3x}
\int\:_{0}^{\ln(3)}e^{3x}dx
integral from-1 to 1 of xarctan(x)
\int\:_{-1}^{1}x\arctan(x)dx
integral from 0 to pi of xf(sin(x))
\int\:_{0}^{π}xf(\sin(x))dx
integral from 1 to 1/x of cos^3(u)
\int\:_{1}^{\frac{1}{x}}\cos^{3}(u)du
integral from 1 to 4 of 1/((x+1)sqrt(x))
\int\:_{1}^{4}\frac{1}{(x+1)\sqrt{x}}dx
integral from 0 to pi/4 of xsin(x)cos(x)
\int\:_{0}^{\frac{π}{4}}x\sin(x)\cos(x)dx
integral from 0 to ln(3) of 6e^{2x}
\int\:_{0}^{\ln(3)}6e^{2x}dx
integral from cos(x) to sin(x) of xy
\int\:_{\cos(x)}^{\sin(x)}xydy
integral from-2 to 0 of 1
\int\:_{-2}^{0}1
integral from 2 to 5 of 7
\int\:_{2}^{5}7dx
integral from 0 to 5x of f(t)
\int\:_{0}^{5x}f(t)dt
integral from-4 to 4 of x^2
\int\:_{-4}^{4}x^{2}dx
integral from-1 to 6 of |x|
\int\:_{-1}^{6}\left|x\right|dx
integral from 0 to 3 of 5x^2
\int\:_{0}^{3}5x^{2}dx
integral from 0 to 1 of (x^2-4x+8)
\int\:_{0}^{1}(x^{2}-4x+8)dx
integral from 0 to 2 of sqrt(5-x^2)
\int\:_{0}^{2}\sqrt{5-x^{2}}dx
integral from-1 to 0 of (x^2-2x)
\int\:_{-1}^{0}(x^{2}-2x)dx
integral from 0 to 1 of 1/(x^2-36)
\int\:_{0}^{1}\frac{1}{x^{2}-36}dx
integral from 1 to 5 of (x^4)
\int\:_{1}^{5}(x^{4})dx
integral from-4 to 4 of |x^2-9|
\int\:_{-4}^{4}\left|x^{2}-9\right|dx
integral from 1 to 6 of 2/x
\int\:_{1}^{6}\frac{2}{x}dx
integral from 0 to 1 of 5x-5^x
\int\:_{0}^{1}5x-5^{x}dx
integral from 0 to 1 of 5cos((pix)/2)
\int\:_{0}^{1}5\cos(\frac{πx}{2})dx
integral from 0 to x of 2e^{-2x}
\int\:_{0}^{x}2e^{-2x}dx
integral from 2 to 5 of ((3x^2+1))/x
\int\:_{2}^{5}\frac{(3x^{2}+1)}{x}dx
integral from 0 to 4 of 1/((x-1)^2)
\int\:_{0}^{4}\frac{1}{(x-1)^{2}}dx
integral from 0 to pi of sqrt(2+2cos(x))
\int\:_{0}^{π}\sqrt{2+2\cos(x)}dx
integral from pi/3 to pi/2 of cos(x)
\int\:_{\frac{π}{3}}^{\frac{π}{2}}\cos(x)dx
integral from 2 to 4 of x^2-2x
\int\:_{2}^{4}x^{2}-2xdx
integral from 0 to 4 of x^2+4x
\int\:_{0}^{4}x^{2}+4xdx
integral from-2 to 3 of 3/(4x^2)
\int\:_{-2}^{3}\frac{3}{4x^{2}}dx
integral from 0 to 2pi of xcos(nx)
\int\:_{0}^{2π}x\cos(nx)dx
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