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Popular Calculus Problems
integral from-5 to 0 of 2x-x^2-7x
\int\:_{-5}^{0}2x-x^{2}-7xdx
integral from 1 to 2 of (3-x)-(2/x)
\int\:_{1}^{2}(3-x)-(\frac{2}{x})dx
integral from-1 to 1 of x^{3/2}
\int\:_{-1}^{1}x^{\frac{3}{2}}dx
integral from 1 to 3 of 1/(t-2)
\int\:_{1}^{3}\frac{1}{t-2}dt
integral from 1 to 4 of 8/(x^2)
\int\:_{1}^{4}\frac{8}{x^{2}}dx
integral from 0 to 1 of x^{1/7}
\int\:_{0}^{1}x^{\frac{1}{7}}dx
integral from-1 to 1 of (x+1)^4
\int\:_{-1}^{1}(x+1)^{4}dx
integral from 0 to pi of 8sin(x)-sin(8x)
\int\:_{0}^{π}8\sin(x)-\sin(8x)dx
integral from-2 to-u^2 of 1/2
\int\:_{-2}^{-u^{2}}\frac{1}{2}dv
integral from 1 to 7 of (4/x-e^{-x})
\int\:_{1}^{7}(\frac{4}{x}-e^{-x})dx
integral from 0 to 0 of sqrt(144-x^2)
\int\:_{0}^{0}\sqrt{144-x^{2}}dx
integral from 0 to 4 of (xcos(x^2))/2
\int\:_{0}^{4}\frac{x\cos(x^{2})}{2}dx
integral from 1 to 4 of 1/(p^2+p-6)
\int\:_{1}^{4}\frac{1}{p^{2}+p-6}dp
integral from 1 to x of 8/(3t^3)
\int\:_{1}^{x}\frac{8}{3t^{3}}dt
integral from 0 to 1 of 4x^3-2x+6
\int\:_{0}^{1}4x^{3}-2x+6dx
integral from 1 to 6 of sqrt(5x-5)
\int\:_{1}^{6}\sqrt{5x-5}dx
integral from-2 to 2 of 6sqrt(4-x^2)
\int\:_{-2}^{2}6\sqrt{4-x^{2}}dx
integral from-1 to 1 of 1/(x(x-2))
\int\:_{-1}^{1}\frac{1}{x(x-2)}dx
integral from 2 to 3 of r^{-3}
\int\:_{2}^{3}r^{-3}dr
integral from 1 to x of (1-t)
\int\:_{1}^{x}(1-t)dt
integral from 0 to pi of (2+cos(x))^2
\int\:_{0}^{π}(2+\cos(x))^{2}dx
integral from 3 to 4 of (x^2-x-6)
\int\:_{3}^{4}(x^{2}-x-6)dx
integral from 2x to 10 of cos(y^2)
\int\:_{2x}^{10}\cos(y^{2})dy
integral from-pi/2 to pi/2 of cos^2(u)
\int\:_{-\frac{π}{2}}^{\frac{π}{2}}\cos^{2}(u)du
integral from-1 to-1 of 2e^{3x}
\int\:_{-1}^{-1}2e^{3x}dx
integral from-1 to 3 of x^3-2x^2-3x
\int\:_{-1}^{3}x^{3}-2x^{2}-3xdx
integral from 0 to 2 of x(4-x^2)
\int\:_{0}^{2}x(4-x^{2})dx
integral from 0 to 5 of 4-x^2
\int\:_{0}^{5}4-x^{2}dx
integral from-1 to 1 of (1-y^2)
\int\:_{-1}^{1}(1-y^{2})dy
integral from 0 to 1 of x^2+2x-1
\int\:_{0}^{1}x^{2}+2x-1dx
integral from 0 to 1 of x^6+x^8
\int\:_{0}^{1}x^{6}+x^{8}dx
integral from 0 to 6 of x^2+3
\int\:_{0}^{6}x^{2}+3dx
integral from-1 to 1 of x+3sqrt(1-x^2)
\int\:_{-1}^{1}x+3\sqrt{1-x^{2}}dx
integral from 4 to x of 1/(1+x^3)
\int\:_{4}^{x}\frac{1}{1+x^{3}}dx
integral from 0 to infinity of e^{ct}
\int\:_{0}^{\infty\:}e^{ct}dt
integral from 0 to 5 of ((x^2)/3+1)
\int\:_{0}^{5}(\frac{x^{2}}{3}+1)dx
integral from-1 to 1 of (x+2)/(56)
\int\:_{-1}^{1}\frac{x+2}{56}dx
integral from 1 to infinity of ce^{-x}
\int\:_{1}^{\infty\:}ce^{-x}dx
integral from 5 to 6 of x(x^2-25)^2
\int\:_{5}^{6}x(x^{2}-25)^{2}dx
integral from-5 to 5 of (6+sqrt(25-x^2))
\int\:_{-5}^{5}(6+\sqrt{25-x^{2}})dx
integral from-2 to 3 of (x-1)(x+3)
\int\:_{-2}^{3}(x-1)(x+3)dx
integral from 0 to 1 of 5/((2x+1)^2)
\int\:_{0}^{1}\frac{5}{(2x+1)^{2}}dx
integral from-5 to 5 of 5|x|-x^2
\int\:_{-5}^{5}5\left|x\right|-x^{2}dx
integral from 1 to 5 of (6-x)
\int\:_{1}^{5}(6-x)dx
integral from-1 to 1 of 9x^2
\int\:_{-1}^{1}9x^{2}dx
integral from 2 to 5 of x^3-x^2+8
\int\:_{2}^{5}x^{3}-x^{2}+8dx
integral from 0 to 2pi of e^{2iθ}
\int\:_{0}^{2π}e^{2iθ}dθ
integral from 0 to 4 of (x+1)^3
\int\:_{0}^{4}(x+1)^{3}dx
integral from-2 to 3 of (5+x-6x^2)
\int\:_{-2}^{3}(5+x-6x^{2})dx
integral from pi/4 to pi/2 of sin^5(x)
\int\:_{\frac{π}{4}}^{\frac{π}{2}}\sin^{5}(x)dx
integral from 0 to t of 1/(sqrt(x))
\int\:_{0}^{t}\frac{1}{\sqrt{x}}dx
integral from 0 to 1/2 of xarccos(x)
\int\:_{0}^{\frac{1}{2}}x\arccos(x)dx
integral from-1 to 1 of (1-4x)^2
\int\:_{-1}^{1}(1-4x)^{2}dx
integral from 0 to 25 of 0.5x
\int\:_{0}^{25}0.5xdx
integral from 0 to 2 of 6e^{-x^2}
\int\:_{0}^{2}6e^{-x^{2}}dx
integral from 1 to 2 of x^3sqrt((x^2+1))
\int\:_{1}^{2}x^{3}\sqrt{(x^{2}+1)}dx
integral from-3 to 3 of (x+2)(x-2)
\int\:_{-3}^{3}(x+2)(x-2)dx
integral from 1 to 9 of xsqrt(2x+7)
\int\:_{1}^{9}x\sqrt{2x+7}dx
integral from-2 to 3 of ((x^2)/3-4)
\int\:_{-2}^{3}(\frac{x^{2}}{3}-4)dx
integral from-1 to 1 of 2sqrt(1-y^2)
\int\:_{-1}^{1}2\sqrt{1-y^{2}}dy
integral from 8 to 20 of 1
\int\:_{8}^{20}1dx
integral from 0 to pi/(28) of cos(7x)
\int\:_{0}^{\frac{π}{28}}\cos(7x)dx
integral from l to u of t*r*e^{-t*r}
\int\:_{l}^{u}t\cdot\:r\cdot\:e^{-t\cdot\:r}dt
integral from 8 to 0 of (2x^2+x+2)
\int\:_{8}^{0}(2x^{2}+x+2)dx
integral from 0 to 1 of (x-sqrt(1-x^2))
\int\:_{0}^{1}(x-\sqrt{1-x^{2}})dx
integral from-infinity to 0 of 4xe^{5x}
\int\:_{-\infty\:}^{0}4xe^{5x}dx
integral from 1 to infinity of 2e^{-2y}
\int\:_{1}^{\infty\:}2e^{-2y}dy
integral from 1 to 2 of (1+x^3)/(x^2)
\int\:_{1}^{2}\frac{1+x^{3}}{x^{2}}dx
integral from 1 to 2 of (1+e^x)
\int\:_{1}^{2}(1+e^{x})dx
integral from 0 to 4 of y^3
\int\:_{0}^{4}y^{3}dy
integral from 0 to 2pi of-32sin^2(t)
\int\:_{0}^{2π}-32\sin^{2}(t)dt
integral from 0 to pi of cos(y)
\int\:_{0}^{π}\cos(y)dy
integral from 1 to 2 of xsqrt(2x-x^2)
\int\:_{1}^{2}x\sqrt{2x-x^{2}}dx
integral from 0 to 0.75 of 2(1-y)
\int\:_{0}^{0.75}2(1-y)dy
integral from 1 to 64 of \sqrt[3]{x}
\int\:_{1}^{64}\sqrt[3]{x}dx
integral from 2 to x of e^{t^2}
\int\:_{2}^{x}e^{t^{2}}dt
integral from 1 to 3 of 3-4x+x^2
\int\:_{1}^{3}3-4x+x^{2}dx
integral from-2 to 0 of (10x-e^x)
\int\:_{-2}^{0}(10x-e^{x})dx
integral from 1 to 5 of 3/(x^3)
\int\:_{1}^{5}\frac{3}{x^{3}}dx
integral from-1 to 2 of-2x+4
\int\:_{-1}^{2}-2x+4dx
integral from-5 to 5 of 5
\int\:_{-5}^{5}5dx
integral from 5 to 2 of x^3
\int\:_{5}^{2}x^{3}dx
integral from-1 to 1 of (2-2y^2)
\int\:_{-1}^{1}(2-2y^{2})dy
integral from 0 to pi of cos(5x)
\int\:_{0}^{π}\cos(5x)dx
integral from 0 to pi of (1-x)cos(nx)
\int\:_{0}^{π}(1-x)\cos(nx)dx
integral from 0 to 2pi of 8sin(x)cos(x)
\int\:_{0}^{2π}8\sin(x)\cos(x)dx
integral from-9 to 0 of (4+sqrt(81-x^2))
\int\:_{-9}^{0}(4+\sqrt{81-x^{2}})dx
integral from-1 to x of (3x^2)/2
\int\:_{-1}^{x}\frac{3x^{2}}{2}dx
integral from 2 to 3 of (3x+2)
\int\:_{2}^{3}(3x+2)dx
integral from-2 to 6 of-t^2+6t-8
\int\:_{-2}^{6}-t^{2}+6t-8dt
integral from 0 to pi of |sin(x)-1/2 |
\int\:_{0}^{π}\left|\sin(x)-\frac{1}{2}\right|dx
integral from 1 to 0 of (2x+3)
\int\:_{1}^{0}(2x+3)dx
integral from 2 to 3 of (x^2+4)
\int\:_{2}^{3}(x^{2}+4)dx
integral from-1 to 2 of xe^{-x^2+1}
\int\:_{-1}^{2}xe^{-x^{2}+1}dx
integral from 0 to e-1 of 1/(1+x)
\int\:_{0}^{e-1}\frac{1}{1+x}dx
integral from-1 to 2 of x+2-(x^2)
\int\:_{-1}^{2}x+2-(x^{2})dx
integral from 0 to 7 of (2e^x)
\int\:_{0}^{7}(2e^{x})dx
integral from 0 to 25 of 85-3sqrt(25-t)
\int\:_{0}^{25}85-3\sqrt{25-t}dt
integral from 0 to x of (t^2)/(t^4+1)
\int\:_{0}^{x}\frac{t^{2}}{t^{4}+1}dt
integral from 0 to 5 of 1/4 x
\int\:_{0}^{5}\frac{1}{4}xdx
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