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Popular Calculus Problems
integral from-1 to 5 of (3x^4+2x^2+3)
\int\:_{-1}^{5}(3x^{4}+2x^{2}+3)dx
integral from pi to 2pi of sin(x)sin(nx)
\int\:_{π}^{2π}\sin(x)\sin(nx)dx
integral from 0 to 5 of-3x
\int\:_{0}^{5}-3xdx
integral from 0 to 8 of |x-4|
\int\:_{0}^{8}\left|x-4\right|dx
integral from-2 to 5 of 1
\int\:_{-2}^{5}1dx
integral from 1 to 2 of (2x+3)
\int\:_{1}^{2}(2x+3)dx
integral from 0 to 3 of x^2-1
\int\:_{0}^{3}x^{2}-1dx
integral from 4 to 7 of x^3
\int\:_{4}^{7}x^{3}dx
integral from 0 to 1 of x^3-3x^2
\int\:_{0}^{1}x^{3}-3x^{2}dx
integral from 0 to 1 of (3x^2-x+1)
\int\:_{0}^{1}(3x^{2}-x+1)dx
integral from 2 to 5 of 2000x+1000
\int\:_{2}^{5}2000x+1000dx
integral from-2 to 5 of x^2-3x-10
\int\:_{-2}^{5}x^{2}-3x-10dx
integral from 5 to 10 of (2t)/(t^2+1)
\int\:_{5}^{10}\frac{2t}{t^{2}+1}dt
integral from-2 to 1 of t/((t^2+1)^2)
\int\:_{-2}^{1}\frac{t}{(t^{2}+1)^{2}}dt
integral from 0 to 2pi of sqrt(x^4+4x^2)
\int\:_{0}^{2π}\sqrt{x^{4}+4x^{2}}dx
integral from 0 to 20 of x
\int\:_{0}^{20}xdx
integral from 1 to infinity of (e^x)/x
\int\:_{1}^{\infty\:}\frac{e^{x}}{x}dx
integral from 0 to 3 of (x-4)
\int\:_{0}^{3}(x-4)dx
integral from 0 to 2 of |2-x|
\int\:_{0}^{2}\left|2-x\right|dx
integral from 0 to pi of 1/(1+sin(x))
\int\:_{0}^{π}\frac{1}{1+\sin(x)}dx
integral from-3 to 2 of (2x^3-4x)
\int\:_{-3}^{2}(2x^{3}-4x)dx
integral from 0 to 2 of sqrt(4x-x^2)
\int\:_{0}^{2}\sqrt{4x-x^{2}}dx
integral from 1 to 5 of t^2-2t-8
\int\:_{1}^{5}t^{2}-2t-8dt
integral from-3 to 2 of 12-x^2-x
\int\:_{-3}^{2}12-x^{2}-xdx
integral from 2 to 3 of x^2-x-2
\int\:_{2}^{3}x^{2}-x-2dx
integral from 0 to 2 of 3x+1
\int\:_{0}^{2}3x+1dx
integral from-3 to-1 of (t+1)/(t^3)
\int\:_{-3}^{-1}\frac{t+1}{t^{3}}dt
integral from 0 to 4 of 6x^3
\int\:_{0}^{4}6x^{3}dx
integral from 1 to e of 1/(xln^2(x))
\int\:_{1}^{e}\frac{1}{x\ln^{2}(x)}dx
integral from 0 to 1 of xln^2(x)
\int\:_{0}^{1}x\ln^{2}(x)dx
integral from 0 to pi/2 of (2-sin(θ))^2
\int\:_{0}^{\frac{π}{2}}(2-\sin(θ))^{2}dθ
integral from 0 to 4 of (-x^2+2x+1)
\int\:_{0}^{4}(-x^{2}+2x+1)dx
integral from 1 to e of (x^7+1)/x
\int\:_{1}^{e}\frac{x^{7}+1}{x}dx
integral from 1 to 5 of 1+1/x+1/(x^2)
\int\:_{1}^{5}1+\frac{1}{x}+\frac{1}{x^{2}}dx
integral from 1 to 2 of (x-3)/x
\int\:_{1}^{2}\frac{x-3}{x}dx
integral from 0 to 4 of 16x-x^3
\int\:_{0}^{4}16x-x^{3}dx
integral from 0 to 5 of (x^2-x+1)e^{2x}
\int\:_{0}^{5}(x^{2}-x+1)e^{2x}dx
integral from 0 to 6 of |x-5|
\int\:_{0}^{6}\left|x-5\right|dx
integral from-1 to 2 of (2x+5)
\int\:_{-1}^{2}(2x+5)dx
integral from 0 to ln(5) of 2e^{2x}
\int\:_{0}^{\ln(5)}2e^{2x}dx
integral from 0 to 2pi of (cos(x))^4
\int\:_{0}^{2π}(\cos(x))^{4}dx
integral from-2 to 0 of 1/((2-1)^3)
\int\:_{-2}^{0}\frac{1}{(2-1)^{3}}dx
integral from-7 to 3 of |x|
\int\:_{-7}^{3}\left|x\right|dx
integral from 0 to 1 of arcsin(sqrt(x))
\int\:_{0}^{1}\arcsin(\sqrt{x})dx
integral from 0 to 1 of 4pix
\int\:_{0}^{1}4πxdx
integral from 3y to 3 of e^{x^2}
\int\:_{3y}^{3}e^{x^{2}}dx
integral from 0 to sqrt(2 of)sqrt(1+x^2)
\int\:_{0}^{\sqrt{2}}\sqrt{1+x^{2}}dx
integral from 3 to 7 of 4x-16
\int\:_{3}^{7}4x-16dx
integral from-pi/4 to pi/4 of tan^2(x)
\int\:_{-\frac{π}{4}}^{\frac{π}{4}}\tan^{2}(x)dx
integral from-1 to 1 of (3+sqrt(1-x^2))
\int\:_{-1}^{1}(3+\sqrt{1-x^{2}})dx
integral from 0 to 1 of (x+4sqrt(1-x^2))
\int\:_{0}^{1}(x+4\sqrt{1-x^{2}})dx
integral from-1 to 1 of 3x^3
\int\:_{-1}^{1}3x^{3}dx
integral from 0 to 10 of x^3
\int\:_{0}^{10}x^{3}dx
integral from 0 to t of (sin(u))/u
\int\:_{0}^{t}\frac{\sin(u)}{u}du
integral from pi/2 to pi of x
\int\:_{\frac{π}{2}}^{π}xdx
integral from-5 to 5 of (5x-2)
\int\:_{-5}^{5}(5x-2)dx
integral from 2 to 5 of 4^{5x}
\int\:_{2}^{5}4^{5x}dx
integral from 0 to 2 of (3x+1)
\int\:_{0}^{2}(3x+1)dx
integral from 8 to 9 of 1
\int\:_{8}^{9}1dt
integral from 2 to 4 of x/((x^2+5)^3)
\int\:_{2}^{4}\frac{x}{(x^{2}+5)^{3}}dx
integral from 3 to 4 of x^2+x-5
\int\:_{3}^{4}x^{2}+x-5dx
integral from 0 to r of r
\int\:_{0}^{r}rdr
integral from-x to x of x
\int\:_{-x}^{x}xdx
integral from 1 to 2 of 1/(xsqrt(x-1))
\int\:_{1}^{2}\frac{1}{x\sqrt{x-1}}dx
integral from-3 to 2 of (2x)/(x^2+5)
\int\:_{-3}^{2}\frac{2x}{x^{2}+5}dx
integral from-pi to pi of x^3cos(x)
\int\:_{-π}^{π}x^{3}\cos(x)dx
integral from 0 to pi/2 of 5sin(x/2)
\int\:_{0}^{\frac{π}{2}}5\sin(\frac{x}{2})dx
integral from 0 to pi of x^2*cos(nx)
\int\:_{0}^{π}x^{2}\cdot\:\cos(nx)dx
integral from 0 to x^2 of cos(x^2)
\int\:_{0}^{x^{2}}\cos(x^{2})dx
integral from-pi to pi of cos(x/2)
\int\:_{-π}^{π}\cos(\frac{x}{2})dx
integral from 0 to 3 of 3^{4x}
\int\:_{0}^{3}3^{4x}dx
integral from-infinity to 0 of e^{ax}
\int\:_{-\infty\:}^{0}e^{ax}dx
integral from 0 to pi/4 of cos^2(θ)
\int\:_{0}^{\frac{π}{4}}\cos^{2}(θ)dθ
integral from 4 to 8 of 1/(x^2)
\int\:_{4}^{8}\frac{1}{x^{2}}dx
integral from x to 1 of 2xsin(x)
\int\:_{x}^{1}2x\sin(x)dx
integral from 0 to 1 of sqrt(4r^2+1)r
\int\:_{0}^{1}\sqrt{4r^{2}+1}rdr
integral from 0 to x of cos(3t)
\int\:_{0}^{x}\cos(3t)dt
integral from 1 to 3 of 5^{4x}
\int\:_{1}^{3}5^{4x}dx
integral from 1 to 2 of 7x
\int\:_{1}^{2}7xdx
integral from 2 to 6 of (2x+1)e^{0.4x}
\int\:_{2}^{6}(2x+1)e^{0.4x}dx
integral from 1 to 4 of x^4
\int\:_{1}^{4}x^{4}dx
integral from 2 to 4 of 4t^3+4t
\int\:_{2}^{4}4t^{3}+4tdt
integral from-3 to 1 of x^3+3x^2-x+1
\int\:_{-3}^{1}x^{3}+3x^{2}-x+1dx
integral from 0 to pi of x^2*sin(3x)
\int\:_{0}^{π}x^{2}\cdot\:\sin(3x)dx
integral from-1 to 2 of 4x
\int\:_{-1}^{2}4xdx
integral from 1 to 2 of 1+xe^x
\int\:_{1}^{2}1+xe^{x}dx
integral from-1 to 1 of (2-2x^2)
\int\:_{-1}^{1}(2-2x^{2})dx
integral from 1 to 2 of 2^x
\int\:_{1}^{2}2^{x}dx
integral from 1 to 4 of 2x-x^2
\int\:_{1}^{4}2x-x^{2}dx
integral from 0 to 2 of t/(sqrt(5+t^2))
\int\:_{0}^{2}\frac{t}{\sqrt{5+t^{2}}}dt
integral from 1 to e of ln(\sqrt[x]{x})
\int\:_{1}^{e}\ln(\sqrt[x]{x})dx
integral from 0 to pi/4 of sin(2x+pi/2)
\int\:_{0}^{\frac{π}{4}}\sin(2x+\frac{π}{2})dx
integral from 0 to pi/2 of x^2*cos(x)
\int\:_{0}^{\frac{π}{2}}x^{2}\cdot\:\cos(x)dx
integral from 0 to 1 of x^2*sqrt(1-x^2)
\int\:_{0}^{1}x^{2}\cdot\:\sqrt{1-x^{2}}dx
integral from 0 to 5 of (4-x^2)
\int\:_{0}^{5}(4-x^{2})dx
integral from e to 6 of 1/(xln(x))
\int\:_{e}^{6}\frac{1}{x\ln(x)}dx
integral from 1 to 2 of sqrt(2x-x^2)
\int\:_{1}^{2}\sqrt{2x-x^{2}}dx
integral from 0 to 1 of 4e^{-2x}
\int\:_{0}^{1}4e^{-2x}dx
integral from 0 to 1 of (e^{-1/x})/(x^2)
\int\:_{0}^{1}\frac{e^{-\frac{1}{x}}}{x^{2}}dx
integral from 0 to x of sinh^2(t)
\int\:_{0}^{x}\sinh^{2}(t)dt
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