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Popular Calculus Problems
integral from-3 to 3 of 9-y^2
\int\:_{-3}^{3}9-y^{2}dy
integral from 0 to 1 of xsqrt(x-1)
\int\:_{0}^{1}x\sqrt{x-1}dx
integral from 0 to 1 of cos((npix)/2)
\int\:_{0}^{1}\cos(\frac{nπx}{2})dx
integral from 2 to 3 of x^2-2x-3
\int\:_{2}^{3}x^{2}-2x-3dx
integral from 0 to 3 of (x^2+3)
\int\:_{0}^{3}(x^{2}+3)dx
integral from 0 to 4 of (9-x^2)
\int\:_{0}^{4}(9-x^{2})dx
integral from 1 to 4 of 1/(x^3)
\int\:_{1}^{4}\frac{1}{x^{3}}dx
integral from 0 to 2 of 1/((1-x)^3)
\int\:_{0}^{2}\frac{1}{(1-x)^{3}}dx
integral from-1 to 0 of (4x-1)
\int\:_{-1}^{0}(4x-1)dx
integral from 1 to 6 of 5+sqrt(t)
\int\:_{1}^{6}5+\sqrt{t}dt
integral from 0 to pi/2 of sin^2(u)
\int\:_{0}^{\frac{π}{2}}\sin^{2}(u)du
integral from 1 to 2 of 1/(x+x^2)
\int\:_{1}^{2}\frac{1}{x+x^{2}}dx
integral from 1 to 8 of (\sqrt[3]{x}+1)
\int\:_{1}^{8}(\sqrt[3]{x}+1)dx
integral from-5 to-3 of 1/(sqrt(x^2-9))
\int\:_{-5}^{-3}\frac{1}{\sqrt{x^{2}-9}}dx
integral from 1 to 3 of ln(x)+sin(x)+8
\int\:_{1}^{3}\ln(x)+\sin(x)+8dx
integral from 0 to 2 of x(x-2)^2
\int\:_{0}^{2}x(x-2)^{2}dx
integral from 1 to 2 of 1/(x^3+8)
\int\:_{1}^{2}\frac{1}{x^{3}+8}dx
integral from 1 to e of 5/x
\int\:_{1}^{e}\frac{5}{x}dx
integral from 0 to 1 of (xe^x)
\int\:_{0}^{1}(xe^{x})dx
integral from 0 to 3 of sqrt(4-4x+x^2)
\int\:_{0}^{3}\sqrt{4-4x+x^{2}}dx
integral from 1 to 4 of |3x-6|
\int\:_{1}^{4}\left|3x-6\right|dx
integral from-3 to 0 of 3x^2(3x^3+3)^6
\int\:_{-3}^{0}3x^{2}(3x^{3}+3)^{6}dx
integral from-1 to 3 of 1/x
\int\:_{-1}^{3}\frac{1}{x}dx
integral from 0 to 4 of 2/(sqrt(2x+1))
\int\:_{0}^{4}\frac{2}{\sqrt{2x+1}}dx
integral from 0 to 1 of (2-y)^2sqrt(y)
\int\:_{0}^{1}(2-y)^{2}\sqrt{y}dy
integral from 0 to 2 of 4x(x^2+3)^3
\int\:_{0}^{2}4x(x^{2}+3)^{3}dx
integral from 2 to 3 of (x^2-2x-15)
\int\:_{2}^{3}(x^{2}-2x-15)dx
integral from 0 to 2 of 1/((x-1))
\int\:_{0}^{2}\frac{1}{(x-1)}dx
integral from-3 to 3 of (x^2+x+1)
\int\:_{-3}^{3}(x^{2}+x+1)dx
integral from 0 to 2 of (x^6)/(1+x^2)
\int\:_{0}^{2}\frac{x^{6}}{1+x^{2}}dx
integral from 0 to 1 of x/(2-x)
\int\:_{0}^{1}\frac{x}{2-x}dx
integral from 0 to 2 of 2xln(1+x)
\int\:_{0}^{2}2x\ln(1+x)dx
integral from 1 to 2 of (x^2)/2
\int\:_{1}^{2}\frac{x^{2}}{2}dx
integral from 1 to 3 of x^2+2x-5
\int\:_{1}^{3}x^{2}+2x-5dx
integral from-infinity to 0 of 3/(9+x^2)
\int\:_{-\infty\:}^{0}\frac{3}{9+x^{2}}dx
integral from 0 to 1 of xy^2
\int\:_{0}^{1}xy^{2}dx
integral from 2 to 3 of (x^2+x+1)
\int\:_{2}^{3}(x^{2}+x+1)dx
integral from pi/6 to pi/4 of cos(2x)
\int\:_{\frac{π}{6}}^{\frac{π}{4}}\cos(2x)dx
integral from 0 to 1 of e^xsin(e^x)
\int\:_{0}^{1}e^{x}\sin(e^{x})dx
integral from 0 to x of t^3
\int\:_{0}^{x}t^{3}dt
integral from-11 to 11 of (121-x^2)
\int\:_{-11}^{11}(121-x^{2})dx
integral from 0 to 10 of xe^{(-1/2)x^2}
\int\:_{0}^{10}xe^{(-\frac{1}{2})x^{2}}dx
integral from 0 to 1 of 2e^{x/(3+4)}+5
\int\:_{0}^{1}2e^{\frac{x}{3+4}}+5dx
integral from 1 to 3 of 5^{3x}
\int\:_{1}^{3}5^{3x}dx
integral from 0 to pi/4 of 3sec^2(t)
\int\:_{0}^{\frac{π}{4}}3\sec^{2}(t)dt
integral from 0 to 3 of 3sqrt(8x+1)
\int\:_{0}^{3}3\sqrt{8x+1}dx
integral from 4 to 6 of x^2
\int\:_{4}^{6}x^{2}dx
integral from 0 to 4 of xln(5-x)
\int\:_{0}^{4}x\ln(5-x)dx
integral from 0 to 5 of xe^{5x}
\int\:_{0}^{5}xe^{5x}dx
integral from 1 to 5 of (2x+1)
\int\:_{1}^{5}(2x+1)dx
integral from-1 to 0 of-20xe^{-x}
\int\:_{-1}^{0}-20xe^{-x}dx
integral from-3 to-1 of (-2x-3)
\int\:_{-3}^{-1}(-2x-3)dx
integral from 0 to 1 of cx^2
\int\:_{0}^{1}cx^{2}dx
integral from 1 to 3 of ((x-1)^3)/(x^2)
\int\:_{1}^{3}\frac{(x-1)^{3}}{x^{2}}dx
integral from 0 to 3 of (-x^2+2x+3)
\int\:_{0}^{3}(-x^{2}+2x+3)dx
integral from t to 3t of ((sin(x))/x)
\int\:_{t}^{3t}(\frac{\sin(x)}{x})dx
integral from-2 to 1 of |x^3|
\int\:_{-2}^{1}\left|x^{3}\right|dx
integral from pi to 2pi of e^{-st}
\int\:_{π}^{2π}e^{-st}dt
integral from 2 to 3 of 95+972t^2-18t
\int\:_{2}^{3}95+972t^{2}-18tdt
integral from-1 to 1 of x^2(1-|x|)
\int\:_{-1}^{1}x^{2}(1-\left|x\right|)dx
integral from-1 to 1 of (x^2+4)(x-1)^6
\int\:_{-1}^{1}(x^{2}+4)(x-1)^{6}dx
integral from 1 to e of 4/(x(10+9ln(x)))
\int\:_{1}^{e}\frac{4}{x(10+9\ln(x))}dx
integral from 0 to 2pi of 32/3
\int\:_{0}^{2π}\frac{32}{3}dθ
integral from 0 to pi/4 of cos(x)sin(x)
\int\:_{0}^{\frac{π}{4}}\cos(x)\sin(x)dx
integral from-1 to 8 of \sqrt[3]{x}
\int\:_{-1}^{8}\sqrt[3]{x}dx
integral from 0 to 7 of x^2e^{-x}
\int\:_{0}^{7}x^{2}e^{-x}dx
integral from-1 to 1 of rsqrt(1-r^2)
\int\:_{-1}^{1}r\sqrt{1-r^{2}}dr
integral from 3 to 7 of x^2
\int\:_{3}^{7}x^{2}dx
integral from 1 to 3 of (x^3+2x^2-5x+2)
\int\:_{1}^{3}(x^{3}+2x^{2}-5x+2)dx
integral from 2 to 4 of 4^{5x}
\int\:_{2}^{4}4^{5x}dx
integral from 0 to 2 of ln(x+1)
\int\:_{0}^{2}\ln(x+1)dx
integral from 0 to pi/2 of (y+y^2cos(x))
\int\:_{0}^{\frac{π}{2}}(y+y^{2}\cos(x))dx
integral from-6 to 0 of ([ 1/2 x]+|x|)
\int\:_{-6}^{0}([\frac{1}{2}x]+\left|x\right|)dx
integral from-1 to 3 of |x|-1
\int\:_{-1}^{3}\left|x\right|-1dx
integral from 0 to 5 of 1/(sqrt(25-t^2))
\int\:_{0}^{5}\frac{1}{\sqrt{25-t^{2}}}dt
integral from 1 to 3 of 1/(x^4)
\int\:_{1}^{3}\frac{1}{x^{4}}dx
integral from 0 to 1 of sqrt(5x+6)
\int\:_{0}^{1}\sqrt{5x+6}dx
integral from 1 to 4 of 2x^2
\int\:_{1}^{4}2x^{2}dx
integral from 0 to 8 of 8x
\int\:_{0}^{8}8xdx
integral from 0 to 3 of 5^{3x}
\int\:_{0}^{3}5^{3x}dx
integral from-1 to 1 of 2x+1
\int\:_{-1}^{1}2x+1dx
integral from 0 to 1 of x^3sqrt(1+3x^2)
\int\:_{0}^{1}x^{3}\sqrt{1+3x^{2}}dx
integral from 0 to 2 of (x^2+3x)
\int\:_{0}^{2}(x^{2}+3x)dx
integral from 0 to 4 of (4x+sqrt(x))
\int\:_{0}^{4}(4x+\sqrt{x})dx
integral from 1.8 to 2.4 of xe^{-x}
\int\:_{1.8}^{2.4}xe^{-x}dx
integral from 1 to 3 of 8x
\int\:_{1}^{3}8xdx
integral from 0 to log_{5 of (2)}5^x
\int\:_{0}^{\log_{5}(2)}5^{x}dx
integral from 8y^2+8z^2 to 8 of x
\int\:_{8y^{2}+8z^{2}}^{8}xdx
integral from-4 to 2 of (2x+4)
\int\:_{-4}^{2}(2x+4)dx
integral from 2 to 8 of x^3
\int\:_{2}^{8}x^{3}dx
integral from 0 to 1 of (x+2)/(x^2+4x+1)
\int\:_{0}^{1}\frac{x+2}{x^{2}+4x+1}dx
integral from 1 to 3 of (x^2-4x+6)
\int\:_{1}^{3}(x^{2}-4x+6)dx
integral from 0 to 10 of (t^2)/2+4t+5
\int\:_{0}^{10}\frac{t^{2}}{2}+4t+5dt
integral from 0 to 3 of xsqrt(x^2+4)
\int\:_{0}^{3}x\sqrt{x^{2}+4}dx
integral from 0 to b of 5e^x
\int\:_{0}^{b}5e^{x}dx
integral from 1 to 2 of 1/2 x
\int\:_{1}^{2}\frac{1}{2}xdx
integral from 0 to (3pi)/2 of cos^2(x)
\int\:_{0}^{\frac{3π}{2}}\cos^{2}(x)dx
integral from-2 to 0 of (6x^2-8x)
\int\:_{-2}^{0}(6x^{2}-8x)dx
integral from 0 to e of (x^2-9)/(x+3)
\int\:_{0}^{e}\frac{x^{2}-9}{x+3}dx
integral from 0 to 1 of sqrt(1+2x)
\int\:_{0}^{1}\sqrt{1+2x}dx
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