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Popular Calculus Problems
integral from 1 to 3 of e^x-e
\int\:_{1}^{3}e^{x}-edx
integral from 0 to a of 8xsqrt(a^2-x^2)
\int\:_{0}^{a}8x\sqrt{a^{2}-x^{2}}dx
integral from 1 to 4 of (x^2+2)-3
\int\:_{1}^{4}(x^{2}+2)-3dx
integral from 0 to pi of x^6sin(x)
\int\:_{0}^{π}x^{6}\sin(x)dx
integral from 0 to x^2 of e^{y/x}
\int\:_{0}^{x^{2}}e^{\frac{y}{x}}dy
integral from 0 to 3 of 4x-1
\int\:_{0}^{3}4x-1dx
integral from 0 to 2pi of 6x^2cos(x)
\int\:_{0}^{2π}6x^{2}\cos(x)dx
integral from-6 to 0 of (5+sqrt(36-x^2))
\int\:_{-6}^{0}(5+\sqrt{36-x^{2}})dx
integral from-5 to 5 of ln(x+6)
\int\:_{-5}^{5}\ln(x+6)dx
integral from-2 to 0 of-\sqrt[3]{x}
\int\:_{-2}^{0}-\sqrt[3]{x}dx
integral from 4 to 6 of 6x^2-7
\int\:_{4}^{6}6x^{2}-7dx
integral from 1 to 3 of 8x^3
\int\:_{1}^{3}8x^{3}dx
integral from 0 to 1 of (r+3)(r-4)
\int\:_{0}^{1}(r+3)(r-4)dr
integral from 1/2 to 1/3 of (cos(piw))
\int\:_{\frac{1}{2}}^{\frac{1}{3}}(\cos(πw))dw
integral from-2 to 3 of 1-x
\int\:_{-2}^{3}1-xdx
integral from 1 to infinity of tan(x)
\int\:_{1}^{\infty\:}\tan(x)dx
integral from 0 to 0.8 of e^{x^2}
\int\:_{0}^{0.8}e^{x^{2}}dx
integral from 1/2 to 2 of 2x-1
\int\:_{\frac{1}{2}}^{2}2x-1dx
integral from 0 to x of (8x-2y)
\int\:_{0}^{x}(8x-2y)dy
integral from 0 to 1 of 5x(5x^2+1)
\int\:_{0}^{1}5x(5x^{2}+1)dx
integral from 0 to 1 of 2/((x+1)(x+3))
\int\:_{0}^{1}\frac{2}{(x+1)(x+3)}dx
integral from 0 to pi of sin(x/3)
\int\:_{0}^{π}\sin(\frac{x}{3})dx
integral from 3 to 1 of (4x-x^2)
\int\:_{3}^{1}(4x-x^{2})dx
integral from 0 to 1 of (x+1)ln^2(x+1)
\int\:_{0}^{1}(x+1)\ln^{2}(x+1)dx
integral from 2 to 3 of x/(sqrt(2x^2-5))
\int\:_{2}^{3}\frac{x}{\sqrt{2x^{2}-5}}dx
integral from 0 to t-1 of (-e^{-2x})
\int\:_{0}^{t-1}(-e^{-2x})dx
integral from 0 to 1 of 2y^2-2y^3
\int\:_{0}^{1}2y^{2}-2y^{3}dy
integral from 1 to 2 of x(x-1)
\int\:_{1}^{2}x(x-1)dx
integral from 0 to b of cos(x)
\int\:_{0}^{b}\cos(x)dx
integral from 0 to 1/2 ln(3) of e^{2x}
\int\:_{0}^{\frac{1}{2}\ln(3)}e^{2x}dx
integral from-4 to 3 of |x+3|
\int\:_{-4}^{3}\left|x+3\right|dx
integral from 3x to x^5 of e^{-t^2}
\int\:_{3x}^{x^{5}}e^{-t^{2}}dt
integral from 0 to 2 of x^2(8-x^3)
\int\:_{0}^{2}x^{2}(8-x^{3})dx
integral from 0 to 4 of sqrt(4x)-(x^2)/4
\int\:_{0}^{4}\sqrt{4x}-\frac{x^{2}}{4}dx
integral from 0 to x of (3+sin(t))
\int\:_{0}^{x}(3+\sin(t))dt
integral from 11 to 30 of-0.8x+30
\int\:_{11}^{30}-0.8x+30dx
integral from 0 to 3 of 1/96 y^3e^{-y/2}
\int\:_{0}^{3}\frac{1}{96}y^{3}e^{-\frac{y}{2}}dy
integral from 0 to 0.9 of (cos(x)-1)/x
\int\:_{0}^{0.9}\frac{\cos(x)-1}{x}dx
integral from 0 to 1 of 1/((x+y+1)^2)
\int\:_{0}^{1}\frac{1}{(x+y+1)^{2}}dx
integral from-pi/2 to pi/2 of sin^2(t)
\int\:_{-\frac{π}{2}}^{\frac{π}{2}}\sin^{2}(t)dt
integral from 0 to 2 of 5x(x-6)
\int\:_{0}^{2}5x(x-6)dx
integral from 0 to 4 of sqrt(x)-(x^2)/8
\int\:_{0}^{4}\sqrt{x}-\frac{x^{2}}{8}dx
integral from 0 to 1 of (x^4-x)
\int\:_{0}^{1}(x^{4}-x)dx
integral from 0 to 1 of (xln(x))
\int\:_{0}^{1}(x\ln(x))dx
integral from 0 to pi/2 of x^2cos(2x)
\int\:_{0}^{\frac{π}{2}}x^{2}\cos(2x)dx
integral from-4 to 4 of (x-1)^3
\int\:_{-4}^{4}(x-1)^{3}dx
integral from 0 to 3 of (3x^2)/2
\int\:_{0}^{3}\frac{3x^{2}}{2}dx
integral from 1 to 7 of 4/x-e^{-x}
\int\:_{1}^{7}\frac{4}{x}-e^{-x}dx
integral from 1.5 to 3 of 0.25x^2
\int\:_{1.5}^{3}0.25x^{2}dx
integral from 0 to x of 1/((x+1)^2)
\int\:_{0}^{x}\frac{1}{(x+1)^{2}}dx
integral from 0 to t of e^{x(a-1)}
\int\:_{0}^{t}e^{x(a-1)}dx
integral from 0 to 4 of 1/(16x^2+49)
\int\:_{0}^{4}\frac{1}{16x^{2}+49}dx
integral from 0 to 1 of 2xy^2sec^2(3xy)
\int\:_{0}^{1}2xy^{2}\sec^{2}(3xy)dx
integral from 0 to 2 of ln(3-x)
\int\:_{0}^{2}\ln(3-x)dx
integral from-1 to 1 of xarccos(x)
\int\:_{-1}^{1}x\arccos(x)dx
integral from 0 to 1 of sqrt(x/((1-x)))
\int\:_{0}^{1}\sqrt{\frac{x}{(1-x)}}dx
integral from 0 to 2 of x^2-40
\int\:_{0}^{2}x^{2}-40dx
integral from 1 to 3 of x^2-3x+1
\int\:_{1}^{3}x^{2}-3x+1dx
integral from 3 to 4 of (3x^2-1)
\int\:_{3}^{4}(3x^{2}-1)dx
integral from 0 to pi/2 of 3cos^3(x)
\int\:_{0}^{\frac{π}{2}}3\cos^{3}(x)dx
integral from 0 to pi/3 of 4tan(x/2)
\int\:_{0}^{\frac{π}{3}}4\tan(\frac{x}{2})dx
integral from 0 to ln(a) of 9e^{3x}
\int\:_{0}^{\ln(a)}9e^{3x}dx
integral from 0 to 1/2 of arctan(x)
\int\:_{0}^{\frac{1}{2}}\arctan(x)dx
integral from 0 to 1 of x^{3/8}
\int\:_{0}^{1}x^{\frac{3}{8}}dx
integral from 0 to infinity of e^{-αx^2}
\int\:_{0}^{\infty\:}e^{-αx^{2}}dx
integral from 1 to 2 of (x^3)/3
\int\:_{1}^{2}\frac{x^{3}}{3}dx
integral from 0 to 3 of 1/3 x
\int\:_{0}^{3}\frac{1}{3}xdx
integral from 0 to pi/2 of 2x
\int\:_{0}^{\frac{π}{2}}2xdx
integral from-1 to 1 of x^2e^{x^2}
\int\:_{-1}^{1}x^{2}e^{x^{2}}dx
integral from-2 to 14 of (sin(x))/x
\int\:_{-2}^{14}\frac{\sin(x)}{x}dx
integral from 0 to 4 of 1/4 x
\int\:_{0}^{4}\frac{1}{4}xdx
integral from 1 to 2 of (x-3)^2
\int\:_{1}^{2}(x-3)^{2}dx
integral from 1 to 2 of ln(1+2^x)
\int\:_{1}^{2}\ln(1+2^{x})dx
integral from 0 to 1 of (2x^e+7e^x)
\int\:_{0}^{1}(2x^{e}+7e^{x})dx
integral from 4 to 9 of (sqrt(x)+x)
\int\:_{4}^{9}(\sqrt{x}+x)dx
integral from 1 to 9 of (e^x)/x
\int\:_{1}^{9}\frac{e^{x}}{x}dx
integral from a to x of 1/x
\int\:_{a}^{x}\frac{1}{x}dx
integral from-2 to 2 of (1+x+x^2+x^3)
\int\:_{-2}^{2}(1+x+x^{2}+x^{3})dx
integral from 0 to b of 3e^x
\int\:_{0}^{b}3e^{x}dx
integral from 4 to 8 of sqrt(8x-x^2)
\int\:_{4}^{8}\sqrt{8x-x^{2}}dx
integral from e to e^x of (cos(ln(x)))/x
\int\:_{e}^{e^{x}}\frac{\cos(\ln(x))}{x}dx
integral from T to T^' of 1
\int\:_{T}^{T^{\prime\:}}1dT
integral from 1 to 2 of xsqrt(x)
\int\:_{1}^{2}x\sqrt{x}dx
integral from 0 to 1 of 2-x^2-x^4
\int\:_{0}^{1}2-x^{2}-x^{4}dx
integral from 0 to y of 1/4 (x+y)
\int\:_{0}^{y}\frac{1}{4}(x+y)dx
integral from 1 to 5 of (2x)
\int\:_{1}^{5}(2x)dx
integral from 0 to sqrt(6 of)6-x^2
\int\:_{0}^{\sqrt{6}}6-x^{2}dx
integral from 0 to 8 of xsqrt(x+1)
\int\:_{0}^{8}x\sqrt{x+1}dx
integral from 0 to 1 of t^2sqrt(t^3+3)
\int\:_{0}^{1}t^{2}\sqrt{t^{3}+3}dt
integral from 3 to 6 of sqrt(7-x)
\int\:_{3}^{6}\sqrt{7-x}dx
integral from 0 to pi of 1/2 (4sin(θ))^2
\int\:_{0}^{π}\frac{1}{2}(4\sin(θ))^{2}dθ
integral from-2 to 1 of 1/(x^2)-5
\int\:_{-2}^{1}\frac{1}{x^{2}}-5dx
integral from 2 to 9 of 3xsqrt(x^2-1)
\int\:_{2}^{9}3x\sqrt{x^{2}-1}dx
integral from 0 to 1 of x^{11}
\int\:_{0}^{1}x^{11}dx
integral from 0 to 1 of 12x^2-12x^3
\int\:_{0}^{1}12x^{2}-12x^{3}dx
integral from 0 to 2 of 9x^2e^{x^3}
\int\:_{0}^{2}9x^{2}e^{x^{3}}dx
integral from 1 to 4 of (1/(sqrt(x))+x)
\int\:_{1}^{4}(\frac{1}{\sqrt{x}}+x)dx
integral from-1 to 1 of (y^3)/3+2y^3
\int\:_{-1}^{1}\frac{y^{3}}{3}+2y^{3}dy
integral from 2 to 3 of (1/(x-1)+x)
\int\:_{2}^{3}(\frac{1}{x-1}+x)dx
integral from 6 to 5 of (sin(x))
\int\:_{6}^{5}(\sin(x))dx
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