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Popular Calculus Problems
integral from 2 to 3 of (1/(t-1)+t)
\int\:_{2}^{3}(\frac{1}{t-1}+t)dt
integral from 1 to e^4 of (8ln(x))/x
\int\:_{1}^{e^{4}}\frac{8\ln(x)}{x}dx
integral from a to b of (x+y)/(x-y)
\int\:_{a}^{b}\frac{x+y}{x-y}dx
integral from 1 to 5 of x^{-2}
\int\:_{1}^{5}x^{-2}dx
integral from 0 to 1 of 5x^6
\int\:_{0}^{1}5x^{6}dx
integral from 1 to 2 of (4x^3-5)
\int\:_{1}^{2}(4x^{3}-5)dx
integral from 0 to 2pi of 4cos(θ)
\int\:_{0}^{2π}4\cos(θ)dθ
integral from 0 to pi of 3sin(θ)
\int\:_{0}^{π}3\sin(θ)dθ
integral from 0 to x^5 of sin(t^2)
\int\:_{0}^{x^{5}}\sin(t^{2})dt
integral from 1/2 to 3/2 of 5xcos(pix)
\int\:_{\frac{1}{2}}^{\frac{3}{2}}5x\cos(πx)dx
integral from 0 to pi/4 of 3cos^2(x)
\int\:_{0}^{\frac{π}{4}}3\cos^{2}(x)dx
integral from 0 to 5 of (x+5)/(x^2+x-20)
\int\:_{0}^{5}\frac{x+5}{x^{2}+x-20}dx
integral from-3 to 0 of sqrt(1-x)+1+x
\int\:_{-3}^{0}\sqrt{1-x}+1+xdx
integral from 3 to infinity of 1/(x^2+9)
\int\:_{3}^{\infty\:}\frac{1}{x^{2}+9}dx
integral from-2 to 1 of 5
\int\:_{-2}^{1}5dx
integral from-2 to 1 of x^3+1
\int\:_{-2}^{1}x^{3}+1dx
integral from 2 to 7 of 5log_{6}(x)
\int\:_{2}^{7}5\log_{6}(x)dx
integral from 3 to x^3 of t^2
\int\:_{3}^{x^{3}}t^{2}dt
integral from 0 to 4 of 4y
\int\:_{0}^{4}4ydy
integral from-pi/2 to pi/2 of (cos^2(x))
\int\:_{-\frac{π}{2}}^{\frac{π}{2}}(\cos^{2}(x))dx
integral from 0 to 2pi of xsin((nx)/2)
\int\:_{0}^{2π}x\sin(\frac{nx}{2})dx
integral from 1 to 2 of (4x-1)
\int\:_{1}^{2}(4x-1)dx
integral from-1 to 1 of (x^3-3x)
\int\:_{-1}^{1}(x^{3}-3x)dx
integral from 3 to 5 of (4x^3+5)
\int\:_{3}^{5}(4x^{3}+5)dx
integral from 1/4 to 1/2 of (pi/(x^2))
\int\:_{\frac{1}{4}}^{\frac{1}{2}}(\frac{π}{x^{2}})dx
integral from-3 to-1 of 2/(3x)
\int\:_{-3}^{-1}\frac{2}{3x}dx
integral from 0 to-2 of x^2
\int\:_{0}^{-2}x^{2}dx
integral from 1 to 4 of (x-3)
\int\:_{1}^{4}(x-3)dx
integral from 1 to 2 of x^2(x^3+5)^4
\int\:_{1}^{2}x^{2}(x^{3}+5)^{4}dx
integral from 0 to 1 of sin(t)cos(t)
\int\:_{0}^{1}\sin(t)\cos(t)dt
integral from-1 to 0 of x/(x^2+1)
\int\:_{-1}^{0}\frac{x}{x^{2}+1}dx
integral from 1 to 2 of 1/(3x-1)
\int\:_{1}^{2}\frac{1}{3x-1}dx
integral from 0 to 22 of pi(sqrt(x))^2
\int\:_{0}^{22}π(\sqrt{x})^{2}dx
integral from 2 to 3 of (x+2)/(x-1)
\int\:_{2}^{3}\frac{x+2}{x-1}dx
integral from 1 to-1 of (x^2-1)
\int\:_{1}^{-1}(x^{2}-1)dx
integral from-2 to 2 of (x+2)2^x
\int\:_{-2}^{2}(x+2)2^{x}dx
integral from 0 to 3 of e^{t^2}
\int\:_{0}^{3}e^{t^{2}}dt
integral from 0 to 2 of x-(x^2-2)
\int\:_{0}^{2}x-(x^{2}-2)dx
integral from 0 to 9 of 3-sqrt(x)
\int\:_{0}^{9}3-\sqrt{x}dx
integral from 1 to 4 of (x/2-4/x)
\int\:_{1}^{4}(\frac{x}{2}-\frac{4}{x})dx
integral from 0 to 1 of z^4sqrt(1-z^2)
\int\:_{0}^{1}z^{4}\sqrt{1-z^{2}}dz
integral from 0 to 4 of pi(2sqrt(x))^2
\int\:_{0}^{4}π(2\sqrt{x})^{2}dx
integral from 0 to 4 of 8+7sqrt(x)
\int\:_{0}^{4}8+7\sqrt{x}dx
integral from-3 to 0 of g(t)
\int\:_{-3}^{0}g(t)dt
integral from 0 to 0.4 of x^2
\int\:_{0}^{0.4}x^{2}dx
integral from 0 to 1 of 7x^3
\int\:_{0}^{1}7x^{3}dx
integral from 0 to 1 of 9x(x^2-1)^7
\int\:_{0}^{1}9x(x^{2}-1)^{7}dx
integral from-1 to 1 of (x+3sqrt(1-x^2))
\int\:_{-1}^{1}(x+3\sqrt{1-x^{2}})dx
integral from-2pi to 2pi of 2sin(x)
\int\:_{-2π}^{2π}2\sin(x)dx
integral from 0 to 2 of-3x^2+6x
\int\:_{0}^{2}-3x^{2}+6xdx
integral from-1 to 0 of 2x^3-3x^2-12x
\int\:_{-1}^{0}2x^{3}-3x^{2}-12xdx
integral from 0 to 1 of 6x^5
\int\:_{0}^{1}6x^{5}dx
integral from 0 to 20 of-0.4x^2+1000
\int\:_{0}^{20}-0.4x^{2}+1000dx
integral from-1 to 1 of 5x^4
\int\:_{-1}^{1}5x^{4}dx
integral from-9 to 0 of (2+sqrt(81-x^2))
\int\:_{-9}^{0}(2+\sqrt{81-x^{2}})dx
integral from 0 to 1 of xsqrt(11x^2+25)
\int\:_{0}^{1}x\sqrt{11x^{2}+25}dx
integral from 0 to x of 1/((1-x)^3)
\int\:_{0}^{x}\frac{1}{(1-x)^{3}}dx
integral from 0 to 2 of 5e^x+9cos(x)
\int\:_{0}^{2}5e^{x}+9\cos(x)dx
integral from 0 to pi of cos(7x)
\int\:_{0}^{π}\cos(7x)dx
integral from 0 to 1 of 3r
\int\:_{0}^{1}3rdr
integral from 0 to 1 of (8-9x^2)
\int\:_{0}^{1}(8-9x^{2})dx
integral from-1 to 2 of x^2-3x+2
\int\:_{-1}^{2}x^{2}-3x+2dx
integral from-pi/3 to pi/3 of 2sec^2(x)
\int\:_{-\frac{π}{3}}^{\frac{π}{3}}2\sec^{2}(x)dx
integral from 0 to pi/2 of e^{2x}
\int\:_{0}^{\frac{π}{2}}e^{2x}dx
integral from-4 to 3 of 1-x^2
\int\:_{-4}^{3}1-x^{2}dx
integral from y^2 to 4 of ycos(x^2)
\int\:_{y^{2}}^{4}y\cos(x^{2})dx
integral from 1/2 to e of ln(x)
\int\:_{\frac{1}{2}}^{e}\ln(x)dx
integral from 0 to ln(7) of tanh(x)
\int\:_{0}^{\ln(7)}\tanh(x)dx
integral from 0 to 1 of 1/(x^2+6x+9)
\int\:_{0}^{1}\frac{1}{x^{2}+6x+9}dx
integral from 4 to 6 of x^2+2x-4
\int\:_{4}^{6}x^{2}+2x-4dx
integral from-1 to 5 of x+3
\int\:_{-1}^{5}x+3dx
integral from 0 to infinity of e^{-2x}x
\int\:_{0}^{\infty\:}e^{-2x}xdx
integral from-2 to 2 of 1/(x+3)
\int\:_{-2}^{2}\frac{1}{x+3}dx
integral from-1 to 1 of (x-x^2)
\int\:_{-1}^{1}(x-x^{2})dx
integral from 0 to l of 1
\int\:_{0}^{l}1
integral from 1 to 2 of (3x^2+4x+1)
\int\:_{1}^{2}(3x^{2}+4x+1)dx
integral from 0 to 4 of 1/(sqrt(3x+5))
\int\:_{0}^{4}\frac{1}{\sqrt{3x+5}}dx
integral from 0 to 2 of x^3sqrt((4-x^2))
\int\:_{0}^{2}x^{3}\sqrt{(4-x^{2})}dx
integral from 2 to 10 of e^x
\int\:_{2}^{10}e^{x}dx
integral from 0 to 7/3 of 1/(9x^2+49)
\int\:_{0}^{\frac{7}{3}}\frac{1}{9x^{2}+49}dx
integral from-3 to 3 of 81-x^4
\int\:_{-3}^{3}81-x^{4}dx
integral from 0 to 0 of cos(θ)
\int\:_{0}^{0}\cos(θ)dθ
integral from-2 to 2 of x(x^2-3)
\int\:_{-2}^{2}x(x^{2}-3)dx
integral from-2 to 0 of 3x
\int\:_{-2}^{0}3xdx
integral from 2 to 8 of (4x-9)^{20}
\int\:_{2}^{8}(4x-9)^{20}dx
integral from (3pi)/2 to 2pi of cos(θ)
\int\:_{\frac{3π}{2}}^{2π}\cos(θ)dθ
integral from-1 to 0 of 1/(2+x)
\int\:_{-1}^{0}\frac{1}{2+x}dx
integral from 1 to 3 of (2x)/(x^2+3)
\int\:_{1}^{3}\frac{2x}{x^{2}+3}dx
integral from 0 to 5 of cos((npix)/5)
\int\:_{0}^{5}\cos(\frac{nπx}{5})dx
integral from-1 to 3 of 4x-3
\int\:_{-1}^{3}4x-3dx
integral from-1 to 6 of 3
\int\:_{-1}^{6}3dx
integral from-7 to-4 of 2/((x+4)^3)
\int\:_{-7}^{-4}\frac{2}{(x+4)^{3}}dx
integral from 3 to 4 of 8
\int\:_{3}^{4}8dx
integral from 0 to 4 of sec(x)
\int\:_{0}^{4}\sec(x)dx
integral from 0 to x^2 of cos(t)
\int\:_{0}^{x^{2}}\cos(t)dt
integral from-4 to 1 of (-x^2-3x)
\int\:_{-4}^{1}(-x^{2}-3x)dx
integral from 0 to 1 of (x+1)(x^2+2x)^2
\int\:_{0}^{1}(x+1)(x^{2}+2x)^{2}dx
integral from-1 to 1 of (5/(x^2+1))
\int\:_{-1}^{1}(\frac{5}{x^{2}+1})dx
integral from 0 to 4 of sin^2(x)
\int\:_{0}^{4}\sin^{2}(x)dx
integral from-infinity to 3 of 4^x
\int\:_{-\infty\:}^{3}4^{x}dx
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