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Popular Calculus Problems
integral from 0 to pi/2 of-sin^2(t)
\int\:_{0}^{\frac{π}{2}}-\sin^{2}(t)dt
integral from-7 to 5 of (2x-1)
\int\:_{-7}^{5}(2x-1)dx
integral from-2 to 2 of 1/4 e^{tx}
\int\:_{-2}^{2}\frac{1}{4}e^{tx}dx
integral from 0 to t of cos((piu^2)/2)
\int\:_{0}^{t}\cos(\frac{πu^{2}}{2})du
integral from 2 to 4 of sqrt(16-x^2)x
\int\:_{2}^{4}\sqrt{16-x^{2}}xdx
integral from-1 to 2 of (2y^2-2y-4)
\int\:_{-1}^{2}(2y^{2}-2y-4)dy
integral from-pi to 0 of picos(nx)
\int\:_{-π}^{0}π\cos(nx)dx
integral from 0 to 1 of 6x^3-6x^4
\int\:_{0}^{1}6x^{3}-6x^{4}dx
integral from 0 to pi/2 of cos(z)
\int\:_{0}^{\frac{π}{2}}\cos(z)dz
integral from 3 to 6 of 6x
\int\:_{3}^{6}6xdx
integral from-infinity to 0 of e^xx
\int\:_{-\infty\:}^{0}e^{x}xdx
integral from 2 to 4 of x^3+1
\int\:_{2}^{4}x^{3}+1dx
integral from-5 to 5 of 3x
\int\:_{-5}^{5}3xdx
integral from 25 to x of 1/t
\int\:_{25}^{x}\frac{1}{t}dt
integral from-1 to 8 of (x^{1/3}-x)
\int\:_{-1}^{8}(x^{\frac{1}{3}}-x)dx
integral from 1 to 2 of (x+2)/(3-x)
\int\:_{1}^{2}\frac{x+2}{3-x}dx
integral from 0 to 1 of x^3+2x^2-3x
\int\:_{0}^{1}x^{3}+2x^{2}-3xdx
integral from-2 to 2 of 4x^3
\int\:_{-2}^{2}4x^{3}dx
integral from 0 to 25 of 85-3sqrt(25-x)
\int\:_{0}^{25}85-3\sqrt{25-x}dx
integral from-2 to 2 of t^3
\int\:_{-2}^{2}t^{3}dt
integral from 0 to 1 of (x^2)/(1+x^4)
\int\:_{0}^{1}\frac{x^{2}}{1+x^{4}}dx
integral from 0 to 1 of (x^4)
\int\:_{0}^{1}(x^{4})dx
integral from-1 to 1 of x*x^2
\int\:_{-1}^{1}x\cdot\:x^{2}dx
integral from-3 to 3 of 12-x^2-x^2-6
\int\:_{-3}^{3}12-x^{2}-x^{2}-6dx
integral from 8/27 to 1 of ((28x^{4/3}-26x^{1/3}))/(x^2)
\int\:_{\frac{8}{27}}^{1}\frac{(28x^{\frac{4}{3}}-26x^{\frac{1}{3}})}{x^{2}}dx
integral from 0 to 12 of |x-6|
\int\:_{0}^{12}\left|x-6\right|dx
integral from-4 to 0 of x^3+x^2-6x-6x
\int\:_{-4}^{0}x^{3}+x^{2}-6x-6xdx
integral from 1 to 3 of x^2+3x-4
\int\:_{1}^{3}x^{2}+3x-4dx
integral from 1 to 7 of 2x
\int\:_{1}^{7}2xdx
integral from pi/2 to 2pi of cos(x)
\int\:_{\frac{π}{2}}^{2π}\cos(x)dx
integral from-pi to pi of e^xe^{-inx}
\int\:_{-π}^{π}e^{x}e^{-inx}dx
integral from 1 to 3 of sqrt(x+6)
\int\:_{1}^{3}\sqrt{x+6}dx
integral from 0 to x of sin(8u)
\int\:_{0}^{x}\sin(8u)du
integral from 0 to x^2+y^2 of 1
\int\:_{0}^{x^{2}+y^{2}}1dz
integral from 0 to 3 of 6/(sqrt(7x+5))
\int\:_{0}^{3}\frac{6}{\sqrt{7x+5}}dx
integral from 4 to 12 of (4-x)(x-12)
\int\:_{4}^{12}(4-x)(x-12)dx
integral from 0 to pi/3 of (sec(x))^2
\int\:_{0}^{\frac{π}{3}}(\sec(x))^{2}dx
integral from 0 to 1 of x/((x+1)^4)
\int\:_{0}^{1}\frac{x}{(x+1)^{4}}dx
integral from 0 to 4 of sin((npix)/4)
\int\:_{0}^{4}\sin(\frac{nπx}{4})dx
integral from 0 to 3 of 12
\int\:_{0}^{3}12dx
integral from 1 to 4 of 119x^{5/2}
\int\:_{1}^{4}119x^{\frac{5}{2}}dx
integral from 2 to 3 of e^{x^3}x^2
\int\:_{2}^{3}e^{x^{3}}x^{2}dx
integral from 0 to 8 of (56)/(7x+8)
\int\:_{0}^{8}\frac{56}{7x+8}dx
integral from 7 to 9 of (14)/((x-8)^2)
\int\:_{7}^{9}\frac{14}{(x-8)^{2}}dx
integral from-2 to 2 of cos((npix)/2)
\int\:_{-2}^{2}\cos(\frac{nπx}{2})dx
integral from-1 to 1 of (x^5-6x^9+(sin(x))/((1+x^4)^2))
\int\:_{-1}^{1}(x^{5}-6x^{9}+\frac{\sin(x)}{(1+x^{4})^{2}})dx
integral from 1 to e of x^6ln(x)
\int\:_{1}^{e}x^{6}\ln(x)dx
integral from-3 to 3 of (x^3)/(1+x^2)
\int\:_{-3}^{3}\frac{x^{3}}{1+x^{2}}dx
integral from 0 to 2pi of-cos^2(θ)
\int\:_{0}^{2π}-\cos^{2}(θ)dθ
integral from 2 to 3 of 1/2 e^{-1/2 x}
\int\:_{2}^{3}\frac{1}{2}e^{-\frac{1}{2}x}dx
integral from 2 to 8 of 10-x
\int\:_{2}^{8}10-xdx
integral from-1 to 0 of 1/((1-x)^{3/2)}
\int\:_{-1}^{0}\frac{1}{(1-x)^{\frac{3}{2}}}dx
integral from 10 to 4 of x
\int\:_{10}^{4}xdx
integral from-1 to 1 of sqrt(2)
\int\:_{-1}^{1}\sqrt{2}dx
integral from-10 to 10 of 2*x+4
\int\:_{-10}^{10}2\cdot\:x+4dx
integral from 2 to 7 of x^2-2x-8
\int\:_{2}^{7}x^{2}-2x-8dx
integral from 2 to 4 of ((3x+14))/(46)
\int\:_{2}^{4}\frac{(3x+14)}{46}dx
integral from 0 to 2 of x/(1+2x^2)
\int\:_{0}^{2}\frac{x}{1+2x^{2}}dx
integral from pi/2 to (3pi)/2 of 1
\int\:_{\frac{π}{2}}^{\frac{3π}{2}}1
integral from 8 to 27 of (\sqrt[3]{x})
\int\:_{8}^{27}(\sqrt[3]{x})dx
integral from 2 to 9 of 1/(2sqrt(x+7))
\int\:_{2}^{9}\frac{1}{2\sqrt{x+7}}dx
integral from 2 to-7 of (-x^2-3x)
\int\:_{2}^{-7}(-x^{2}-3x)dx
integral from 0 to pi of (sin(x))^6
\int\:_{0}^{π}(\sin(x))^{6}dx
integral from 3 to 6 of x-5
\int\:_{3}^{6}x-5dx
integral from 0 to 4 of (x+3)^3
\int\:_{0}^{4}(x+3)^{3}dx
integral from 0 to 8/9 of 8x-9x^2
\int\:_{0}^{\frac{8}{9}}8x-9x^{2}dx
integral from 0 to 1 of (2x-2)/(x+4)
\int\:_{0}^{1}\frac{2x-2}{x+4}dx
integral from 0 to 5 of 1/(sqrt(9-2x))
\int\:_{0}^{5}\frac{1}{\sqrt{9-2x}}dx
integral from 0 to 3 of x^2-x-6
\int\:_{0}^{3}x^{2}-x-6dx
integral from-1 to 1 of (4-9x)
\int\:_{-1}^{1}(4-9x)dx
integral from 0 to pi of xcos(ax)
\int\:_{0}^{π}x\cos(ax)dx
integral from 1 to 3 of 1/9 x^2
\int\:_{1}^{3}\frac{1}{9}x^{2}dx
integral from θ to x of e^{-(x-θ)}
\int\:_{θ}^{x}e^{-(x-θ)}dx
integral from 0 to 1 of (arccos(x))^2
\int\:_{0}^{1}(\arccos(x))^{2}dx
integral from-2 to 4 of (2x-1)
\int\:_{-2}^{4}(2x-1)dx
integral from 0 to 2pi of x(cos(x))^2
\int\:_{0}^{2π}x(\cos(x))^{2}dx
integral from-2 to 3 of (4x^5-5)
\int\:_{-2}^{3}(4x^{5}-5)dx
integral from 3 to 5 of 6/(x^2)
\int\:_{3}^{5}\frac{6}{x^{2}}dx
integral from 5 to 10 of-0.6x^2+4x+4
\int\:_{5}^{10}-0.6x^{2}+4x+4dx
integral from-1 to 1 of x(x^2+5x)^3
\int\:_{-1}^{1}x(x^{2}+5x)^{3}dx
integral from 1 to 9 of 4sqrt(u)
\int\:_{1}^{9}4\sqrt{u}du
integral from 0 to pi of 5xcos(x)
\int\:_{0}^{π}5x\cos(x)dx
integral from 1 to 4 of pi(ln(x))^2
\int\:_{1}^{4}π(\ln(x))^{2}dx
integral from n to n+1 of (cos(x))/x
\int\:_{n}^{n+1}\frac{\cos(x)}{x}dx
integral from 0 to 1 of-2y+1
\int\:_{0}^{1}-2y+1dy
integral from 5 to 6 of x
\int\:_{5}^{6}xdx
integral from 0 to pi/4 of t^2sin(2t)
\int\:_{0}^{\frac{π}{4}}t^{2}\sin(2t)dt
integral from-2 to 2 of 2x-4
\int\:_{-2}^{2}2x-4dx
integral from-1 to 0 of (x^2)
\int\:_{-1}^{0}(x^{2})dx
integral from 0 to 2 of x(sqrt(8x)-2x)
\int\:_{0}^{2}x(\sqrt{8x}-2x)dx
integral from 0 to 2 of (6-3x)
\int\:_{0}^{2}(6-3x)dx
integral from 0 to 3 of (x^2)/(x^3+2)
\int\:_{0}^{3}\frac{x^{2}}{x^{3}+2}dx
integral from 0 to 2pi of sin(θ/2)
\int\:_{0}^{2π}\sin(\frac{θ}{2})dθ
integral from 100 to 120 of x(600x^{-2})
\int\:_{100}^{120}x(600x^{-2})dx
integral from 1 to 3 of (x^2-2x+3)
\int\:_{1}^{3}(x^{2}-2x+3)dx
integral from 1 to 3 of (1/(x^3))
\int\:_{1}^{3}(\frac{1}{x^{3}})dx
integral from 0 to 8 of x/(sqrt(9+2x))
\int\:_{0}^{8}\frac{x}{\sqrt{9+2x}}dx
integral from 4 to 5 of (4x^2+x+2)/(x-3)
\int\:_{4}^{5}\frac{4x^{2}+x+2}{x-3}dx
integral from 0 to L of x^3
\int\:_{0}^{L}x^{3}dx
integral from 1 to 6 of (x/6-5/x)
\int\:_{1}^{6}(\frac{x}{6}-\frac{5}{x})dx
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