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Popular Calculus Problems
integral from x to 1 of sin(y^2)
\int\:_{x}^{1}\sin(y^{2})dy
integral from 1 to 2 of sqrt(x-1)-(x-1)
\int\:_{1}^{2}\sqrt{x-1}-(x-1)dx
integral from 0 to 1 of 1/2 x
\int\:_{0}^{1}\frac{1}{2}xdx
integral from 0 to 4 of 4x^3+2/(x+1)
\int\:_{0}^{4}4x^{3}+\frac{2}{x+1}dx
integral from-4 to-3 of-x^2-3x
\int\:_{-4}^{-3}-x^{2}-3xdx
integral from 0 to x of x/(x^2+1)
\int\:_{0}^{x}\frac{x}{x^{2}+1}dx
integral from 1 to 2 of x^2ln(x^3)
\int\:_{1}^{2}x^{2}\ln(x^{3})dx
integral from 2 to 4 of 1/(x^3)
\int\:_{2}^{4}\frac{1}{x^{3}}dx
integral from 0 to 1 of 9x^2
\int\:_{0}^{1}9x^{2}dx
integral from-2 to 2 of xcos(x)
\int\:_{-2}^{2}x\cos(x)dx
integral from 1 to 5 of (x-1)
\int\:_{1}^{5}(x-1)dx
integral from 3 to 6 of 1/x
\int\:_{3}^{6}\frac{1}{x}dx
integral from 0 to 1 of x(e^{x^2}-1)
\int\:_{0}^{1}x(e^{x^{2}}-1)dx
integral from 0 to 1 of (x+8)(x-9)
\int\:_{0}^{1}(x+8)(x-9)dx
integral from 1 to 2 of x^{-6}
\int\:_{1}^{2}x^{-6}dx
integral from-2 to 2 of (x^3+x)
\int\:_{-2}^{2}(x^{3}+x)dx
integral from 0 to 1 of e^{-y}
\int\:_{0}^{1}e^{-y}dy
integral from 0 to 7 of sqrt(25-3x)
\int\:_{0}^{7}\sqrt{25-3x}dx
integral from 0 to 2pi of-1
\int\:_{0}^{2π}-1dt
integral from 0 to 60 of 5-5e^{-0.2x}
\int\:_{0}^{60}5-5e^{-0.2x}dx
integral from 1 to 5 of 9/x
\int\:_{1}^{5}\frac{9}{x}dx
integral from 0 to 2 of x/((1+x^2)^4)
\int\:_{0}^{2}\frac{x}{(1+x^{2})^{4}}dx
integral from 1 to infinity of 1/(x^2-1)
\int\:_{1}^{\infty\:}\frac{1}{x^{2}-1}dx
integral from 0 to pi/3 of 4sec^2(x)
\int\:_{0}^{\frac{π}{3}}4\sec^{2}(x)dx
integral from-1 to 2 of 4
\int\:_{-1}^{2}4dx
integral from 0.5 to 1 of x
\int\:_{0.5}^{1}xdx
integral from 0 to 1 of 4^x
\int\:_{0}^{1}4^{x}dx
integral from 0 to 2 of (x-2)^2
\int\:_{0}^{2}(x-2)^{2}dx
integral from 0 to 1 of (e^x-1)/x
\int\:_{0}^{1}\frac{e^{x}-1}{x}dx
integral from pi/6 to pi/4 of cot^2(x)
\int\:_{\frac{π}{6}}^{\frac{π}{4}}\cot^{2}(x)dx
integral from tan(2x) to 1 of (t^3+2t)^2
\int\:_{\tan(2x)}^{1}(t^{3}+2t)^{2}dt
integral from 1 to 4 of ln(sqrt(x)+1)
\int\:_{1}^{4}\ln(\sqrt{x}+1)dx
integral from 3 to 5 of x^4
\int\:_{3}^{5}x^{4}dx
integral from 0 to 1 of (x^2-3x+8)
\int\:_{0}^{1}(x^{2}-3x+8)dx
integral from-1 to 1 of 1-y^2
\int\:_{-1}^{1}1-y^{2}dy
integral from 0 to pi/2 of sin(y)
\int\:_{0}^{\frac{π}{2}}\sin(y)dy
integral from x to 2 of t+e^t
\int\:_{x}^{2}t+e^{t}dt
integral from 0 to 1-y of 24xy
\int\:_{0}^{1-y}24xydx
integral from 1 to 1.3 of sqrt(x)
\int\:_{1}^{1.3}\sqrt{x}dx
integral from-2 to 0 of-7e^{-6t-3}
\int\:_{-2}^{0}-7e^{-6t-3}dt
integral from 1 to 2 of 1/(sqrt(x)+e)
\int\:_{1}^{2}\frac{1}{\sqrt{x}+e}dx
integral from 0 to 1 of (e^z+4)/(e^z+4z)
\int\:_{0}^{1}\frac{e^{z}+4}{e^{z}+4z}dz
integral from 0 to 1 of (x^9+9^x)
\int\:_{0}^{1}(x^{9}+9^{x})dx
integral from-3 to 4 of 1
\int\:_{-3}^{4}1dx
integral from 0 to 3 of pi(3x^2)^2
\int\:_{0}^{3}π(3x^{2})^{2}dx
integral from 0 to 2pi of 4sin^2(x)
\int\:_{0}^{2π}4\sin^{2}(x)dx
integral from-pi to 0 of-x
\int\:_{-π}^{0}-xdx
integral from 0 to 2pi of xsin(2x)
\int\:_{0}^{2π}x\sin(2x)dx
integral from 100 to infinity of e^x
\int\:_{100}^{\infty\:}e^{x}dx
integral from 0 to 1 of x(x^2+2)^6
\int\:_{0}^{1}x(x^{2}+2)^{6}dx
integral from-10 to 0 of sqrt(100-x^2)
\int\:_{-10}^{0}\sqrt{100-x^{2}}dx
integral from 0 to log_{6 of (4)}6^x
\int\:_{0}^{\log_{6}(4)}6^{x}dx
integral from 0 to (3pi)/2 of cos(x)
\int\:_{0}^{\frac{3π}{2}}\cos(x)dx
integral from 1 to 3 of 9ln(x)-x^2ln(x)
\int\:_{1}^{3}9\ln(x)-x^{2}\ln(x)dx
integral from-4 to 4 of e
\int\:_{-4}^{4}edx
integral from-1 to 3 of (6xy^2-4 x/y)
\int\:_{-1}^{3}(6xy^{2}-4\frac{x}{y})dx
integral from 1 to 3 of 5x(x^2+1)^3
\int\:_{1}^{3}5x(x^{2}+1)^{3}dx
integral from 1 to 3 of x/(2-x^2)
\int\:_{1}^{3}\frac{x}{2-x^{2}}dx
integral from 4 to 9 of (1/(sqrt(x))-2)
\int\:_{4}^{9}(\frac{1}{\sqrt{x}}-2)dx
integral from 0 to pi/4 of csc(x)
\int\:_{0}^{\frac{π}{4}}\csc(x)dx
integral from 0 to 1 of (arctan(x))/x
\int\:_{0}^{1}\frac{\arctan(x)}{x}dx
integral from-1 to 1 of arccos(x)
\int\:_{-1}^{1}\arccos(x)dx
integral from 0 to 1 of 3x^2+1
\int\:_{0}^{1}3x^{2}+1dx
integral from 0 to 4 of x/(sqrt(16-x^2))
\int\:_{0}^{4}\frac{x}{\sqrt{16-x^{2}}}dx
integral from 5 to 11 of 1/(x^2)
\int\:_{5}^{11}\frac{1}{x^{2}}dx
integral from 0 to 4 of e^{3x}
\int\:_{0}^{4}e^{3x}dx
integral from-3 to 0 of x
\int\:_{-3}^{0}xdx
integral from 0 to 1 of 4xln(x)
\int\:_{0}^{1}4x\ln(x)dx
integral from 0 to 1 of xcos(x^2)
\int\:_{0}^{1}x\cos(x^{2})dx
integral from 0 to infinity of y^3e^{-y}
\int\:_{0}^{\infty\:}y^{3}e^{-y}dy
integral from 0 to 1 of 6(1-y)
\int\:_{0}^{1}6(1-y)dy
integral from 1 to 2 of 90-(110)/(x+3)
\int\:_{1}^{2}90-\frac{110}{x+3}dx
integral from 0 to 2pi of-25
\int\:_{0}^{2π}-25dt
integral from 2 to 7 of |x-4|
\int\:_{2}^{7}\left|x-4\right|dx
integral from 0 to ln(4) of 9e^{3x}
\int\:_{0}^{\ln(4)}9e^{3x}dx
integral from y to 2 of 1/(2x)
\int\:_{y}^{2}\frac{1}{2x}dx
integral from 0 to 1 of e^{4x}cos(x-1)
\int\:_{0}^{1}e^{4x}\cos(x-1)dx
integral from 3 to 7 of (2x+1)e^{0.4x}
\int\:_{3}^{7}(2x+1)e^{0.4x}dx
integral from 0 to pi of 4/(x^2+1)
\int\:_{0}^{π}\frac{4}{x^{2}+1}dx
integral from 1 to 2 of x^5
\int\:_{1}^{2}x^{5}dx
integral from 1 to 2 of 5^{2x}
\int\:_{1}^{2}5^{2x}dx
integral from 0 to 4 of sqrt(t)
\int\:_{0}^{4}\sqrt{t}dt
integral from 1 to 2 of 5/x
\int\:_{1}^{2}\frac{5}{x}dx
integral from 3 to 4 of 4x
\int\:_{3}^{4}4xdx
integral from 0 to a of xsin^2((pix)/a)
\int\:_{0}^{a}x\sin^{2}(\frac{πx}{a})dx
integral from 1 to sqrt(2 of)xe^{-x^2}
\int\:_{1}^{\sqrt{2}}xe^{-x^{2}}dx
integral from 0 to 3 of (x^2-3x)
\int\:_{0}^{3}(x^{2}-3x)dx
integral from 1/3 to 3 of (5-5/(x^2))
\int\:_{\frac{1}{3}}^{3}(5-\frac{5}{x^{2}})dx
integral from 0 to 1 of xe^{x-1}
\int\:_{0}^{1}xe^{x-1}dx
integral from-pi/3 to (3pi)/4 of sin(x)
\int\:_{-\frac{π}{3}}^{\frac{3π}{4}}\sin(x)dx
integral from 0 to 3 of (9x-x^3)
\int\:_{0}^{3}(9x-x^{3})dx
integral from 1 to 5 of 4x
\int\:_{1}^{5}4xdx
integral from 3 to 6 of 1/(sqrt(6x-x^2))
\int\:_{3}^{6}\frac{1}{\sqrt{6x-x^{2}}}dx
integral from 1 to 2 of x^2sqrt(x^3+1)
\int\:_{1}^{2}x^{2}\sqrt{x^{3}+1}dx
integral from 1 to 2 of 1/(1-e^x)
\int\:_{1}^{2}\frac{1}{1-e^{x}}dx
integral from 0 to L of sin((npix)/L)
\int\:_{0}^{L}\sin(\frac{nπx}{L})dx
integral from 0 to 1 of 1/(4+sqrt(x))
\int\:_{0}^{1}\frac{1}{4+\sqrt{x}}dx
integral from 1 to 4 of (x^2-9x)
\int\:_{1}^{4}(x^{2}-9x)dx
integral from 0 to 3 of x^2-3x+2
\int\:_{0}^{3}x^{2}-3x+2dx
integral from 0 to 1 of x(a+bx^2)
\int\:_{0}^{1}x(a+bx^{2})dx
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