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Popular Calculus Problems
integral from 2 to 4 of 4^{3x}
\int\:_{2}^{4}4^{3x}dx
integral from 1 to e of cosh(ln(x))
\int\:_{1}^{e}\cosh(\ln(x))dx
integral from 0 to 6 of x/(sqrt(36-x^2))
\int\:_{0}^{6}\frac{x}{\sqrt{36-x^{2}}}dx
integral from 0 to 1 of xsqrt(75x^2+25)
\int\:_{0}^{1}x\sqrt{75x^{2}+25}dx
integral from 0 to 1 of (e^z+5)/(e^z+5z)
\int\:_{0}^{1}\frac{e^{z}+5}{e^{z}+5z}dz
integral from 0 to infinity of ke^{-2x}
\int\:_{0}^{\infty\:}ke^{-2x}dx
integral from 0 to sqrt(2 of)x(x^2+1)^7
\int\:_{0}^{\sqrt{2}}x(x^{2}+1)^{7}dx
integral from 0 to pi of |sin(x)-cos(x)|
\int\:_{0}^{π}\left|\sin(x)-\cos(x)\right|dx
integral from 0 to pi of 2xcos(x)
\int\:_{0}^{π}2x\cos(x)dx
integral from 0 to 4 of xsin(x)
\int\:_{0}^{4}x\sin(x)dx
integral from 0 to 3 of 5(1-e^y)
\int\:_{0}^{3}5(1-e^{y})dy
integral from pi/3 to pi of cos(x+pi/3)
\int\:_{\frac{π}{3}}^{π}\cos(x+\frac{π}{3})dx
integral from 0 to 1 of 17x^3sqrt(1-x^2)
\int\:_{0}^{1}17x^{3}\sqrt{1-x^{2}}dx
integral from 0 to 1 of (2x+1)/((x+1)^2)
\int\:_{0}^{1}\frac{2x+1}{(x+1)^{2}}dx
integral from 0 to 2 of 2x^2-4x
\int\:_{0}^{2}2x^{2}-4xdx
integral from 1 to infinity of x^p
\int\:_{1}^{\infty\:}x^{p}dx
integral from-1 to 2 of 2+x-x^2
\int\:_{-1}^{2}2+x-x^{2}dx
integral from 0 to pi of |x|
\int\:_{0}^{π}\left|x\right|dx
integral from 0 to t of 2e^{2x}
\int\:_{0}^{t}2e^{2x}dx
integral from 0 to 2 of e^{-st}t
\int\:_{0}^{2}e^{-st}tdt
integral from 0 to 3 of 6e^{2x}
\int\:_{0}^{3}6e^{2x}dx
integral from-2 to 3 of 7
\int\:_{-2}^{3}7dx
integral from 1 to 6 of (7x+1)
\int\:_{1}^{6}(7x+1)dx
integral from 1 to 10 of (4(ln(x))^3)/x
\int\:_{1}^{10}\frac{4(\ln(x))^{3}}{x}dx
integral from 0 to 1 of xsqrt(4x^2+5)
\int\:_{0}^{1}x\sqrt{4x^{2}+5}dx
integral from x^4 to x^7 of (2t-1)^3
\int\:_{x^{4}}^{x^{7}}(2t-1)^{3}dt
integral from-1 to 2 of x|x|
\int\:_{-1}^{2}x\left|x\right|dx
integral from 0 to 1 of 1/(x^2-x)
\int\:_{0}^{1}\frac{1}{x^{2}-x}dx
integral from 2 to 5 of sin(x)
\int\:_{2}^{5}\sin(x)dx
integral from 0 to 1 of x^{14}+14^x
\int\:_{0}^{1}x^{14}+14^{x}dx
integral from 0 to pi of sin(8x+pi)
\int\:_{0}^{π}\sin(8x+π)dx
integral from-1 to 2 of |1-x|
\int\:_{-1}^{2}\left|1-x\right|dx
integral from 0 to pi of 4cos^2(x)
\int\:_{0}^{π}4\cos^{2}(x)dx
integral from-1 to 0 of x^{1/3}-x
\int\:_{-1}^{0}x^{\frac{1}{3}}-xdx
integral from 0 to t of sin^2(x)
\int\:_{0}^{t}\sin^{2}(x)dx
integral from-6 to 6 of x^2
\int\:_{-6}^{6}x^{2}dx
integral from 0 to t of (sin(t))/t
\int\:_{0}^{t}\frac{\sin(t)}{t}dt
integral from 1 to 2 of (x^3+1)/x
\int\:_{1}^{2}\frac{x^{3}+1}{x}dx
integral from 0 to 1 of y/2
\int\:_{0}^{1}\frac{y}{2}dy
integral from 0 to 1 of sqrt((6t)^2+(6t^2)^2)
\int\:_{0}^{1}\sqrt{(6t)^{2}+(6t^{2})^{2}}dt
integral from 0 to 2 of 1/(x^3+1)
\int\:_{0}^{2}\frac{1}{x^{3}+1}dx
integral from 0 to 3 of 2x^2-6x
\int\:_{0}^{3}2x^{2}-6xdx
integral from 5 to 9 of 2400xsqrt(3+2x)
\int\:_{5}^{9}2400x\sqrt{3+2x}dx
integral from 0 to 4 of (x^2-2y^2+1)
\int\:_{0}^{4}(x^{2}-2y^{2}+1)dx
integral from 2 to 5 of 5^{5x}
\int\:_{2}^{5}5^{5x}dx
integral from 2 to 4 of x/2
\int\:_{2}^{4}\frac{x}{2}dx
integral from 0 to 5 of x(x^2-1)^3
\int\:_{0}^{5}x(x^{2}-1)^{3}dx
integral from-1 to 1 of 1/(x^2+2x+5)
\int\:_{-1}^{1}\frac{1}{x^{2}+2x+5}dx
integral from 0 to 1/2 of 1/(36x^2+9)
\int\:_{0}^{\frac{1}{2}}\frac{1}{36x^{2}+9}dx
integral from 2 to infinity of 3/(4+x^2)
\int\:_{2}^{\infty\:}\frac{3}{4+x^{2}}dx
integral from 0 to 4 of xe^{4x}
\int\:_{0}^{4}xe^{4x}dx
integral from 0 to 4 of 3tsqrt(16-t^2)
\int\:_{0}^{4}3t\sqrt{16-t^{2}}dt
integral from 0 to 8 of 2xsqrt(x^2+36)
\int\:_{0}^{8}2x\sqrt{x^{2}+36}dx
integral from 0 to y^2 of sin(x/y)
\int\:_{0}^{y^{2}}\sin(\frac{x}{y})dx
integral from 0 to 5 of 9e^{3x}
\int\:_{0}^{5}9e^{3x}dx
integral from 0 to 4 of p/(sqrt(9+p^2))
\int\:_{0}^{4}\frac{p}{\sqrt{9+p^{2}}}dp
integral from 1 to 27 of 1/(\sqrt[3]{x)}
\int\:_{1}^{27}\frac{1}{\sqrt[3]{x}}dx
integral from 0 to 4 of 2x^2+5
\int\:_{0}^{4}2x^{2}+5dx
integral from-1 to 1 of |x+2|
\int\:_{-1}^{1}\left|x+2\right|dx
integral from-2021 to 2021 of x^5
\int\:_{-2021}^{2021}x^{5}dx
integral from 1 to 2 of xsqrt(2x-1)
\int\:_{1}^{2}x\sqrt{2x-1}dx
integral from 1 to x of 2x^2y^{-2}+2y
\int\:_{1}^{x}2x^{2}y^{-2}+2ydy
integral from 0 to 5 of 3x^2
\int\:_{0}^{5}3x^{2}dx
integral from 0 to pi/2 of (8+4cos(x))
\int\:_{0}^{\frac{π}{2}}(8+4\cos(x))dx
integral from 1 to 7 of |x^2-2x-15|
\int\:_{1}^{7}\left|x^{2}-2x-15\right|dx
integral from-1 to 1 of 1-x
\int\:_{-1}^{1}1-xdx
integral from 2 to 5 of 4^{3x}
\int\:_{2}^{5}4^{3x}dx
integral from 0 to 1 of 4e^{-4x}
\int\:_{0}^{1}4e^{-4x}dx
integral from 0 to 3 of 2^{2x}
\int\:_{0}^{3}2^{2x}dx
integral from 0 to 2 of-2x
\int\:_{0}^{2}-2xdx
integral from 0 to 4 of (5x+1)e^{5x}
\int\:_{0}^{4}(5x+1)e^{5x}dx
integral from-2 to 2 of 2+sqrt(4-x^2)
\int\:_{-2}^{2}2+\sqrt{4-x^{2}}dx
integral from-1 to 0 of x^{2/5}
\int\:_{-1}^{0}x^{\frac{2}{5}}dx
integral from 0 to 2 of (6x-9)(4x^2+6)
\int\:_{0}^{2}(6x-9)(4x^{2}+6)dx
integral from 2 to 4 of xarcsec(x)
\int\:_{2}^{4}x\arcsec(x)dx
integral from pi/6 to pi/3 of sec^2(x)
\int\:_{\frac{π}{6}}^{\frac{π}{3}}\sec^{2}(x)dx
integral from 0 to 1 of xe^{(-x^2)/2}
\int\:_{0}^{1}xe^{\frac{-x^{2}}{2}}dx
integral from 0 to 5 of x^4
\int\:_{0}^{5}x^{4}dx
integral from 0 to pi/4 of t^2sin(4t)
\int\:_{0}^{\frac{π}{4}}t^{2}\sin(4t)dt
integral from-1 to 1 of (4x^3-e^{2x})
\int\:_{-1}^{1}(4x^{3}-e^{2x})dx
integral from 0 to 1 of 30x^2(1-x)^2
\int\:_{0}^{1}30x^{2}(1-x)^{2}dx
integral from 0 to 1 of (3x^2+sqrt(x))
\int\:_{0}^{1}(3x^{2}+\sqrt{x})dx
integral from 0 to 1 of cos(pi)x
\int\:_{0}^{1}\cos(π)xdx
integral from y to sqrt(y of)(sin(x))/x
\int\:_{y}^{\sqrt{y}}\frac{\sin(x)}{x}dx
integral from-2 to 1 of (-x^2-6x-9)
\int\:_{-2}^{1}(-x^{2}-6x-9)dx
integral from 1 to 3 of 2x(x^2+6)
\int\:_{1}^{3}2x(x^{2}+6)dx
integral from 1 to 3 of 1+1/u+1/(u^2)
\int\:_{1}^{3}1+\frac{1}{u}+\frac{1}{u^{2}}du
integral from 1 to 3 of (4(x^2+1))/(x^2)
\int\:_{1}^{3}\frac{4(x^{2}+1)}{x^{2}}dx
integral from 0 to t of e^{2x}
\int\:_{0}^{t}e^{2x}dx
integral from 0 to 5 of 5-x
\int\:_{0}^{5}5-xdx
integral from 0 to log_{5 of (7)}5^x
\int\:_{0}^{\log_{5}(7)}5^{x}dx
integral from 6x to-8 of sin(t^2)
\int\:_{6x}^{-8}\sin(t^{2})dt
integral from 1 to e of ((2+ln(x))^3)/x
\int\:_{1}^{e}\frac{(2+\ln(x))^{3}}{x}dx
integral from-1 to 0 of (-x-1)
\int\:_{-1}^{0}(-x-1)dx
integral from 1 to e^x of 1/t
\int\:_{1}^{e^{x}}\frac{1}{t}dt
integral from 0 to x/n of n(1-x)^{n-1}
\int\:_{0}^{\frac{x}{n}}n(1-x)^{n-1}dx
integral from 0 to pi/2 of xcos(nx)
\int\:_{0}^{\frac{π}{2}}x\cos(nx)dx
integral from x^4 to x^5 of (2t-1)^3
\int\:_{x^{4}}^{x^{5}}(2t-1)^{3}dt
integral from 0 to sin(x) of sqrt(1+t^2)
\int\:_{0}^{\sin(x)}\sqrt{1+t^{2}}dt
integral from-4 to-3 of x^2-(2x+15)
\int\:_{-4}^{-3}x^{2}-(2x+15)dx
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