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Popular Calculus Problems
integral from 0 to 2 of 4-x
\int\:_{0}^{2}4-xdx
integral from-3 to 1 of 8
\int\:_{-3}^{1}8dx
integral from 1 to 2 of (4x^2)
\int\:_{1}^{2}(4x^{2})dx
integral from 0 to 2-2x of (2x+2y-4)
\int\:_{0}^{2-2x}(2x+2y-4)dy
integral from 0 to z^2 of-zy+z^2
\int\:_{0}^{z^{2}}-zy+z^{2}dy
integral from 0 to 5 of xe^{x^2}
\int\:_{0}^{5}xe^{x^{2}}dx
integral from 3/2 to 2 of 5tcos(pit)
\int\:_{\frac{3}{2}}^{2}5t\cos(πt)dt
integral from 0 to 1 of 3x(x^2-1)^3
\int\:_{0}^{1}3x(x^{2}-1)^{3}dx
integral from 0 to 4 of pi(sqrt(y)+3)^2
\int\:_{0}^{4}π(\sqrt{y}+3)^{2}dy
integral from 0 to 6 of x^2+2
\int\:_{0}^{6}x^{2}+2dx
integral from 0 to 1 of x^2+2x-3
\int\:_{0}^{1}x^{2}+2x-3dx
integral from 0 to 120 of 3-3e^{-0.15x}
\int\:_{0}^{120}3-3e^{-0.15x}dx
integral from 1 to 4 of (3x-2)/(sqrt(x))
\int\:_{1}^{4}\frac{3x-2}{\sqrt{x}}dx
integral from 0 to 2 of 2e^{2x}
\int\:_{0}^{2}2e^{2x}dx
integral from 1 to 2 of sqrt(1+9/4 x)
\int\:_{1}^{2}\sqrt{1+\frac{9}{4}x}dx
integral from 0 to 7 of x^3-9x^2+20x
\int\:_{0}^{7}x^{3}-9x^{2}+20xdx
integral from 2 to 3 of x^2-3x+2
\int\:_{2}^{3}x^{2}-3x+2dx
integral from-2 to 2 of (1-1/4 x^2)
\int\:_{-2}^{2}(1-\frac{1}{4}x^{2})dx
integral from 0 to 5 of 15xsqrt(x+4)
\int\:_{0}^{5}15x\sqrt{x+4}dx
integral from 0 to 0.83 of 2976/63 x
\int\:_{0}^{0.83}\frac{2976}{63}xdx
integral from-7 to 5 of sin(2x)cos(2x)
\int\:_{-7}^{5}\sin(2x)\cos(2x)dx
integral from 0 to \sqrt[3]{10 of}x^2
\int\:_{0}^{\sqrt[3]{10}}x^{2}dx
integral from-1 to 1 of (-30x^2+4xy)
\int\:_{-1}^{1}(-30x^{2}+4xy)dy
integral from 0 to 5 of |t^2+2t-15|
\int\:_{0}^{5}\left|t^{2}+2t-15\right|dt
integral from 0 to 2 of 1/((2-x)^{5/2)}
\int\:_{0}^{2}\frac{1}{(2-x)^{\frac{5}{2}}}dx
integral from 2 to 4 of (2x)
\int\:_{2}^{4}(2x)dx
integral from-2 to 1 of (2x^3+4x^2-x+3)
\int\:_{-2}^{1}(2x^{3}+4x^{2}-x+3)dx
integral from-2 to 1 of 1/(x^{1/2)}
\int\:_{-2}^{1}\frac{1}{x^{\frac{1}{2}}}dx
integral from 1 to 8 of 1/t
\int\:_{1}^{8}\frac{1}{t}dt
integral from-3 to 3 of-x^2
\int\:_{-3}^{3}-x^{2}dx
integral from 1 to 3 of-pi/2 3/(\sqrt[3]{x^4)}
\int\:_{1}^{3}-\frac{π}{2}\frac{3}{\sqrt[3]{x^{4}}}dx
integral from 1 to 2x-1 of e^t
\int\:_{1}^{2x-1}e^{t}dt
integral from 1 to infinity of x/(x^2+8)
\int\:_{1}^{\infty\:}\frac{x}{x^{2}+8}dx
integral from 1 to 2 of x^{-1/2}
\int\:_{1}^{2}x^{-\frac{1}{2}}dx
integral from-1 to 1 of 3x^2-4x+7
\int\:_{-1}^{1}3x^{2}-4x+7dx
integral from 0 to pi/4 of cos(x)+sin(x)
\int\:_{0}^{\frac{π}{4}}\cos(x)+\sin(x)dx
integral from 0 to 3 of sqrt(9-r^2)
\int\:_{0}^{3}\sqrt{9-r^{2}}dr
integral from-2 to e-3 of 1/(t+3)
\int\:_{-2}^{e-3}\frac{1}{t+3}dt
integral from-2 to 2 of xcos((npix)/2)
\int\:_{-2}^{2}x\cos(\frac{nπx}{2})dx
integral from 1 to e of x^{-1}
\int\:_{1}^{e}x^{-1}dx
integral from 0 to 1 of x^2sqrt(4-x^2)
\int\:_{0}^{1}x^{2}\sqrt{4-x^{2}}dx
integral from 0 to pi of 6e^x+7sin(x)
\int\:_{0}^{π}6e^{x}+7\sin(x)dx
integral from-1 to 2 of |x^2-(x+2)|
\int\:_{-1}^{2}\left|x^{2}-(x+2)\right|dx
integral from 3 to infinity of e^{-st}2
\int\:_{3}^{\infty\:}e^{-st}2dt
integral from-infinity to-1 of x/(x^4+1)
\int\:_{-\infty\:}^{-1}\frac{x}{x^{4}+1}dx
integral from 12 to 28 of sqrt(x-3)
\int\:_{12}^{28}\sqrt{x-3}dx
integral from 0 to 1 of (8-8v^3+16v^7)
\int\:_{0}^{1}(8-8v^{3}+16v^{7})dv
integral from 0 to 3 of (x^2+2x)
\int\:_{0}^{3}(x^{2}+2x)dx
integral from 0 to pi/4 of (cos(x))^2
\int\:_{0}^{\frac{π}{4}}(\cos(x))^{2}dx
integral from-2pi to 2pi of (pi-x)/2
\int\:_{-2π}^{2π}\frac{π-x}{2}dx
integral from 4 to 6 of 2/((x-3)^2)
\int\:_{4}^{6}\frac{2}{(x-3)^{2}}dx
integral from-5 to-2 of x/((x^2+3)^2)
\int\:_{-5}^{-2}\frac{x}{(x^{2}+3)^{2}}dx
integral from 2 to 5 of (6x^2+4y-3y^2)
\int\:_{2}^{5}(6x^{2}+4y-3y^{2})dy
integral from 1 to 2 of y/(sqrt(5-y))
\int\:_{1}^{2}\frac{y}{\sqrt{5-y}}dy
integral from 0 to 8.6 of 6-2x+6x^2
\int\:_{0}^{8.6}6-2x+6x^{2}dx
integral from 1 to 8 of (4/x-e^{-x})
\int\:_{1}^{8}(\frac{4}{x}-e^{-x})dx
integral from 0 to pi/4 of x(cos(2x))
\int\:_{0}^{\frac{π}{4}}x(\cos(2x))dx
integral from-2 to 7 of cos(x)
\int\:_{-2}^{7}\cos(x)dx
integral from 0 to 1 of x^3*sqrt(1-x^2)
\int\:_{0}^{1}x^{3}\cdot\:\sqrt{1-x^{2}}dx
integral from 1 to 5 of (x^3+1)
\int\:_{1}^{5}(x^{3}+1)dx
integral from 0 to 1 of x^a
\int\:_{0}^{1}x^{a}dx
integral from 1 to 3 of 1/((x+1)^2)
\int\:_{1}^{3}\frac{1}{(x+1)^{2}}dx
integral from pi/3 to (2pi)/3 of sin(x)
\int\:_{\frac{π}{3}}^{\frac{2π}{3}}\sin(x)dx
integral from 0 to 4 of (8x-2x^2)
\int\:_{0}^{4}(8x-2x^{2})dx
integral from 0 to 4 of xsin(3x)
\int\:_{0}^{4}x\sin(3x)dx
integral from 0 to 2x of 2xy^3-x
\int\:_{0}^{2x}2xy^{3}-xdy
integral from-1 to 1 of |x|sin(x)
\int\:_{-1}^{1}\left|x\right|\sin(x)dx
integral from 0 to pi/2 of xsin(3x)
\int\:_{0}^{\frac{π}{2}}x\sin(3x)dx
integral from 0 to 4pi of |sin(x)|
\int\:_{0}^{4π}\left|\sin(x)\right|dx
integral from 0 to 2 of pi(2y-y^2)^2
\int\:_{0}^{2}π(2y-y^{2})^{2}dy
integral from 0 to 2 of sqrt(4t^2+1)
\int\:_{0}^{2}\sqrt{4t^{2}+1}dt
integral from-pi to pi of (x-1)sin(nx)
\int\:_{-π}^{π}(x-1)\sin(nx)dx
integral from x to 3 of 1
\int\:_{x}^{3}1dx
integral from 0 to 2 of (2x^2-4x)
\int\:_{0}^{2}(2x^{2}-4x)dx
integral from 2 to 8 of 5x
\int\:_{2}^{8}5xdx
integral from 0 to 3 of 12e^{3x}
\int\:_{0}^{3}12e^{3x}dx
integral from 2 to 3 of (x^2)/(x^3-7)
\int\:_{2}^{3}\frac{x^{2}}{x^{3}-7}dx
integral from-1 to 1 of x^2(x^3+1)^4
\int\:_{-1}^{1}x^{2}(x^{3}+1)^{4}dx
integral from 0 to 6 of x^2-2x+2
\int\:_{0}^{6}x^{2}-2x+2dx
integral from 0 to 3 of (x+4)^3
\int\:_{0}^{3}(x+4)^{3}dx
integral from 0 to 3/2 of |sin(x)|
\int\:_{0}^{\frac{3}{2}}\left|\sin(x)\right|dx
integral from 1 to 9 of (1-x)(x-9)
\int\:_{1}^{9}(1-x)(x-9)dx
integral from 2y to y^2 of yzln(2)
\int\:_{2y}^{y^{2}}yz\ln(2)dz
integral from 0 to 1 of 2/5 (x+2)
\int\:_{0}^{1}\frac{2}{5}(x+2)dx
integral from 0 to pi/4 of (cos(2x))^2
\int\:_{0}^{\frac{π}{4}}(\cos(2x))^{2}dx
integral from x to 3x of cos(t^2)
\int\:_{x}^{3x}\cos(t^{2})dt
integral from-1 to 0 of 1cos(npix)
\int\:_{-1}^{0}1\cos(nπx)dx
integral from 0 to 1 of x^2(x-1)
\int\:_{0}^{1}x^{2}(x-1)dx
integral from-2 to 2 of |e^{2x-1}-e^x|
\int\:_{-2}^{2}\left|e^{2x-1}-e^{x}\right|dx
integral from-1 to 1 of (x^{99})
\int\:_{-1}^{1}(x^{99})dx
integral from 0 to 4 of e^t
\int\:_{0}^{4}e^{t}dt
integral from x to 0 of e^{-9t}
\int\:_{x}^{0}e^{-9t}dt
integral from 0 to 2 of 5x+3
\int\:_{0}^{2}5x+3dx
integral from 0 to 1 of sqrt(1/x)
\int\:_{0}^{1}\sqrt{\frac{1}{x}}dx
integral from 1 to 2 of (x^2)/(x^3-8)
\int\:_{1}^{2}\frac{x^{2}}{x^{3}-8}dx
integral from 0 to 1 of (3x^e+7e^x)
\int\:_{0}^{1}(3x^{e}+7e^{x})dx
integral from 0 to 2/3 of x^2(1-3x)^5
\int\:_{0}^{\frac{2}{3}}x^{2}(1-3x)^{5}dx
integral from 0 to e^2 of ln(x)
\int\:_{0}^{e^{2}}\ln(x)dx
integral from 0 to 1 of 3/(x^2+1)
\int\:_{0}^{1}\frac{3}{x^{2}+1}dx
integral from 2 to 8 of 4x
\int\:_{2}^{8}4xdx
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