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Popular Calculus Problems
integral from 0 to 1 of 1/(x^{5/3)}
\int\:_{0}^{1}\frac{1}{x^{\frac{5}{3}}}dx
integral from 1 to 2 of x^2+2
\int\:_{1}^{2}x^{2}+2dx
integral from 0 to 4 of e^{-x^2}
\int\:_{0}^{4}e^{-x^{2}}dx
integral from-1 to 0 of (1+x)
\int\:_{-1}^{0}(1+x)dx
integral from-1 to 4 of (2x+1)
\int\:_{-1}^{4}(2x+1)dx
integral from-pi to pi of x^2sin^3(x)
\int\:_{-π}^{π}x^{2}\sin^{3}(x)dx
integral from-2 to 0 of sqrt(x^3)
\int\:_{-2}^{0}\sqrt{x^{3}}dx
integral from 2 to 7 of tsqrt(t+2)
\int\:_{2}^{7}t\sqrt{t+2}dt
integral from-1 to 2 of (3x^2-2x+1)
\int\:_{-1}^{2}(3x^{2}-2x+1)dx
integral from x to infinity of ye^{x-y}
\int\:_{x}^{\infty\:}ye^{x-y}dy
integral from-pi/4 to 0 of tan(x)
\int\:_{-\frac{π}{4}}^{0}\tan(x)dx
integral from 0 to ln(6x) of sin(7e^t)
\int\:_{0}^{\ln(6x)}\sin(7e^{t})dt
integral from x to x^2 of cos(t^2)
\int\:_{x}^{x^{2}}\cos(t^{2})dt
integral from 1 to 4 of |2x-6|
\int\:_{1}^{4}\left|2x-6\right|dx
integral from 0 to pi of (xsin(x))
\int\:_{0}^{π}(x\sin(x))dx
integral from 0 to 2 of 3e^{x^2-x}
\int\:_{0}^{2}3e^{x^{2}-x}dx
integral from 0 to 3 of (x-4)^3
\int\:_{0}^{3}(x-4)^{3}dx
integral from 0 to 1 of (1-x^2)^3
\int\:_{0}^{1}(1-x^{2})^{3}dx
integral from 0 to pi of (sin(θ))^2
\int\:_{0}^{π}(\sin(θ))^{2}dθ
integral from 2 to 5 of (6x^2-3x+5)
\int\:_{2}^{5}(6x^{2}-3x+5)dx
integral from-1 to 3 of 1/(\sqrt[3]{x)}
\int\:_{-1}^{3}\frac{1}{\sqrt[3]{x}}dx
integral from 1 to 4 of 3x^2+sqrt(x)
\int\:_{1}^{4}3x^{2}+\sqrt{x}dx
integral from 0 to 2 of 2tsqrt(4t^2+1)
\int\:_{0}^{2}2t\sqrt{4t^{2}+1}dt
integral from-1 to x of 1 (x^2-x)
\int\:_{-1}^{x}\frac{d}{1}(x^{2}-x)dx
integral from 4 to 5 of (2+2x)^2
\int\:_{4}^{5}(2+2x)^{2}dx
integral from 0 to infinity of x^n
\int\:_{0}^{\infty\:}x^{n}dx
integral from 1 to 3 of ln(3x)-ln(x)
\int\:_{1}^{3}\ln(3x)-\ln(x)dx
integral from 1 to 10 of x^2ln(x)
\int\:_{1}^{10}x^{2}\ln(x)dx
integral from 1 to 2 of (1-x)
\int\:_{1}^{2}(1-x)dx
integral from 0 to 1 of 8/(t^2+1)
\int\:_{0}^{1}\frac{8}{t^{2}+1}dt
integral from 5 to x^2 of 1/(t^5)
\int\:_{5}^{x^{2}}\frac{1}{t^{5}}dt
integral from 2 to-1 of (x^2-x-2)
\int\:_{2}^{-1}(x^{2}-x-2)dx
integral from 1 to 2 of x/((x^2+4)^3)
\int\:_{1}^{2}\frac{x}{(x^{2}+4)^{3}}dx
integral from-1 to 1 of cos(pi/3 x)
\int\:_{-1}^{1}\cos(\frac{π}{3}x)dx
integral from 0 to 2 of 4t-3t^2
\int\:_{0}^{2}4t-3t^{2}dt
integral from 0 to 2-x of 2-x-y
\int\:_{0}^{2-x}2-x-ydy
integral from 0 to 2 of 4x(x^2+1)^3
\int\:_{0}^{2}4x(x^{2}+1)^{3}dx
integral from 1 to 2 of e^{x-1}-e
\int\:_{1}^{2}e^{x-1}-edx
integral from-1 to 3 of sqrt(3-x)
\int\:_{-1}^{3}\sqrt{3-x}dx
integral from 0 to 1 of y*3(1-y)^2
\int\:_{0}^{1}y\cdot\:3(1-y)^{2}dy
integral from 0 to 6 of sqrt(x+8)
\int\:_{0}^{6}\sqrt{x+8}dx
integral from 0 to 1 of e^{15x-14}
\int\:_{0}^{1}e^{15x-14}dx
integral from-pi/2 to pi/2 of cos(x)-5
\int\:_{-\frac{π}{2}}^{\frac{π}{2}}\cos(x)-5dx
integral from-1 to 8 of x^{-1/3}
\int\:_{-1}^{8}x^{-\frac{1}{3}}dx
integral from-7 to 7 of 4x-3
\int\:_{-7}^{7}4x-3dx
integral from 0 to 3 of e^{-1/2 t}
\int\:_{0}^{3}e^{-\frac{1}{2}t}dt
integral from-5 to 5 of 7/(x^3)
\int\:_{-5}^{5}\frac{7}{x^{3}}dx
integral from 0 to 2 of x(x^2-1)
\int\:_{0}^{2}x(x^{2}-1)dx
integral from 0 to t of 1/(1+x^2)
\int\:_{0}^{t}\frac{1}{1+x^{2}}dx
integral from 0 to 1 of 4xarctan(x)
\int\:_{0}^{1}4x\arctan(x)dx
integral from 1 to 4 of e^{-x}+(ln(x))/x
\int\:_{1}^{4}e^{-x}+\frac{\ln(x)}{x}dx
integral from-3 to 0 of (3+sqrt(9-x^2))
\int\:_{-3}^{0}(3+\sqrt{9-x^{2}})dx
integral from 0 to 1 of log_{e}(x)
\int\:_{0}^{1}\log_{e}(x)dx
integral from 3 to 5 of 1/(x^2-4x+8)
\int\:_{3}^{5}\frac{1}{x^{2}-4x+8}dx
integral from 0 to 2 of x^2 3/4 x(2-x)
\int\:_{0}^{2}x^{2}\frac{3}{4}x(2-x)dx
integral from 0 to y/3 of e^{y^2}
\int\:_{0}^{\frac{y}{3}}e^{y^{2}}dy
integral from 0 to 9 of 1/((9-x)^{3/2)}
\int\:_{0}^{9}\frac{1}{(9-x)^{\frac{3}{2}}}dx
integral from 2 to 7 of 3x
\int\:_{2}^{7}3xdx
integral from 1 to 7 of (4x-5)
\int\:_{1}^{7}(4x-5)dx
integral from 0 to pi/2 of-4cos(t)sin(t)
\int\:_{0}^{\frac{π}{2}}-4\cos(t)\sin(t)dt
integral from-7 to 7 of (7-|x|)
\int\:_{-7}^{7}(7-\left|x\right|)dx
integral from 0 to 1 of sqrt(1+x^3)x^2
\int\:_{0}^{1}\sqrt{1+x^{3}}x^{2}dx
integral from 0 to 1 of x^2-2x+8
\int\:_{0}^{1}x^{2}-2x+8dx
integral from 1 to 2 of (e^x)/(x^2)
\int\:_{1}^{2}\frac{e^{x}}{x^{2}}dx
integral from 0 to t of x^2-3x+2
\int\:_{0}^{t}x^{2}-3x+2dx
integral from 0 to 1 of 2-x-y
\int\:_{0}^{1}2-x-ydy
integral from-2 to 1 of x-6|x|
\int\:_{-2}^{1}x-6\left|x\right|dx
integral from 1 to sin(x) of 12t^{11}
\int\:_{1}^{\sin(x)}12t^{11}dt
integral from 0 to 3 of 4e^{2x}
\int\:_{0}^{3}4e^{2x}dx
integral from 0 to 2pi of 2sin^2(x)
\int\:_{0}^{2π}2\sin^{2}(x)dx
integral from 0 to 3 of x(x^2+1)^2
\int\:_{0}^{3}x(x^{2}+1)^{2}dx
integral from 0 to 1 of t*e^{-st}
\int\:_{0}^{1}t\cdot\:e^{-st}dt
integral from 1.5 to 2 of |x-1|
\int\:_{1.5}^{2}\left|x-1\right|dx
integral from-1 to 1 of (x^2+x^4sin(x))
\int\:_{-1}^{1}(x^{2}+x^{4}\sin(x))dx
integral from 3 to 8 of 1/(sqrt(9x+9))
\int\:_{3}^{8}\frac{1}{\sqrt{9x+9}}dx
integral from 1 to 2 of (4x^3+6/(x^2))
\int\:_{1}^{2}(4x^{3}+\frac{6}{x^{2}})dx
integral from-3 to 3 of e^{u+3}
\int\:_{-3}^{3}e^{u+3}du
integral from 0 to 2 of e^xx
\int\:_{0}^{2}e^{x}xdx
integral from 0 to 2 of sqrt(4+x^2)^3
\int\:_{0}^{2}\sqrt{4+x^{2}}^{3}dx
integral from 0 to 5 of 6e^{3x}
\int\:_{0}^{5}6e^{3x}dx
integral from 1 to 3 of 8x^2
\int\:_{1}^{3}8x^{2}dx
integral from 0 to 5 of (2x-2)
\int\:_{0}^{5}(2x-2)dx
integral from 0 to t^2 of sqrt(u^5)
\int\:_{0}^{t^{2}}\sqrt{u^{5}}du
integral from-pi/2 to pi/2 of xsin(x^2)
\int\:_{-\frac{π}{2}}^{\frac{π}{2}}x\sin(x^{2})dx
integral from 0 to 1 of (e^x)/(sqrt(x))
\int\:_{0}^{1}\frac{e^{x}}{\sqrt{x}}dx
integral from 0 to 5 of (x^2-2)
\int\:_{0}^{5}(x^{2}-2)dx
integral from-1 to 1 of (x^3-x^6)
\int\:_{-1}^{1}(x^{3}-x^{6})dx
integral from x to x^2 of sin(t)
\int\:_{x}^{x^{2}}\sin(t)dt
integral from 1 to 2 of r^2
\int\:_{1}^{2}r^{2}dr
integral from 1 to x^2 of sec(t)
\int\:_{1}^{x^{2}}\sec(t)dt
integral from-pi/2 to pi/2 of xsin(x)
\int\:_{-\frac{π}{2}}^{\frac{π}{2}}x\sin(x)dx
integral from 0 to log_{3 of (7)}3^x
\int\:_{0}^{\log_{3}(7)}3^{x}dx
integral from 2 to 5 of 3^{2x}
\int\:_{2}^{5}3^{2x}dx
integral from 2 to 3 of (4-x^2)
\int\:_{2}^{3}(4-x^{2})dx
integral from 1 to 2 of (x^2)/4
\int\:_{1}^{2}\frac{x^{2}}{4}dx
integral from-3 to 4 of-x+1
\int\:_{-3}^{4}-x+1dx
integral from y to 1 of 1/y
\int\:_{y}^{1}\frac{1}{y}dy
integral from 0 to 1 of 1/(9x^2+6x+1)
\int\:_{0}^{1}\frac{1}{9x^{2}+6x+1}dx
integral from 2 to 6 of 1/(sqrt(5x+6))
\int\:_{2}^{6}\frac{1}{\sqrt{5x+6}}dx
integral from 0 to x of f(x-t)
\int\:_{0}^{x}f(x-t)dt
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