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Popular Calculus Problems
integral from 0 to a of 3xsqrt(a^2-x^2)
\int\:_{0}^{a}3x\sqrt{a^{2}-x^{2}}dx
integral from 0 to 4 of 2x^3
\int\:_{0}^{4}2x^{3}dx
integral from 0 to 4 of [(5x-x^2)-x]
\int\:_{0}^{4}[(5x-x^{2})-x]dx
integral from-4 to 0 of (4x-e^x)
\int\:_{-4}^{0}(4x-e^{x})dx
integral from-1 to 0 of (x+1)cos(npix)
\int\:_{-1}^{0}(x+1)\cos(nπx)dx
integral from 1 to 3 of (x^2-x)
\int\:_{1}^{3}(x^{2}-x)dx
integral from 0 to sqrt(pi of)x*cos(x^2)
\int\:_{0}^{\sqrt{π}}x\cdot\:\cos(x^{2})dx
integral from 7 to 49 of 1/(x(ln(x))^4)
\int\:_{7}^{49}\frac{1}{x(\ln(x))^{4}}dx
integral from-1/8 to 1/8 of (sin(2pix))
\int\:_{-\frac{1}{8}}^{\frac{1}{8}}(\sin(2πx))dx
integral from-6 to 1 of-x^2-3x
\int\:_{-6}^{1}-x^{2}-3xdx
integral from 0 to 60 of x/2
\int\:_{0}^{60}\frac{x}{2}dx
integral from-1 to 1 of (sqrt(1-x^2)+1)
\int\:_{-1}^{1}(\sqrt{1-x^{2}}+1)dx
integral from 1/12 to 1/4 of 2/(sqrt(x)+4x\sqrt{x)}
\int\:_{\frac{1}{12}}^{\frac{1}{4}}\frac{2}{\sqrt{x}+4x\sqrt{x}}dx
integral from-pi/3 to pi/3 of sec^2(x)
\int\:_{-\frac{π}{3}}^{\frac{π}{3}}\sec^{2}(x)dx
integral from 1 to 4 of (xln(2)+3/(2x))
\int\:_{1}^{4}(x\ln(2)+\frac{3}{2x})dx
integral from 0 to 7 of x/(sqrt(36+4x))
\int\:_{0}^{7}\frac{x}{\sqrt{36+4x}}dx
integral from-1 to 1 of (1+x)^2
\int\:_{-1}^{1}(1+x)^{2}dx
integral from 0 to 1 of (4x+sqrt(x))
\int\:_{0}^{1}(4x+\sqrt{x})dx
integral from 1 to e^2 of pi(ln(x))^2
\int\:_{1}^{e^{2}}π(\ln(x))^{2}dx
integral from 0 to 3 of 16/3
\int\:_{0}^{3}\frac{16}{3}dx
integral from 0 to 2 of (1-x)e^{2x}
\int\:_{0}^{2}(1-x)e^{2x}dx
integral from 0 to 1 of ln(y+1)
\int\:_{0}^{1}\ln(y+1)dy
integral from-3 to 2 of 4sin(x^2)-1
\int\:_{-3}^{2}4\sin(x^{2})-1dx
integral from-2 to 0 of 6x^2(2x^3+5)^2
\int\:_{-2}^{0}6x^{2}(2x^{3}+5)^{2}dx
integral from-1 to 1 of 4sqrt(1-x^2)
\int\:_{-1}^{1}4\sqrt{1-x^{2}}dx
integral from 0 to 1 of 2x-x^2-x^2
\int\:_{0}^{1}2x-x^{2}-x^{2}dx
integral from a to b of x^2 1/(b-a)
\int\:_{a}^{b}x^{2}\frac{1}{b-a}dx
integral from 1 to x of x
\int\:_{1}^{x}xdx
integral from-(5pi)/2 to (5pi)/2 of (cos(x)-2)
\int\:_{-\frac{5π}{2}}^{\frac{5π}{2}}(\cos(x)-2)dx
integral from 2 to 3 of (x-2)e^{2x}
\int\:_{2}^{3}(x-2)e^{2x}dx
integral from 1 to 8 of 2pi(y+3)y^{-2}
\int\:_{1}^{8}2π(y+3)y^{-2}dy
integral from 0 to pi of cos(x)sin(2x)
\int\:_{0}^{π}\cos(x)\sin(2x)dx
integral from 0 to 4 of (8-2x)
\int\:_{0}^{4}(8-2x)dx
integral from 0 to 3 of |3t-5|
\int\:_{0}^{3}\left|3t-5\right|dt
integral from-pi to pi of cos(n)x
\int\:_{-π}^{π}\cos(n)xdx
integral from 1 to 5 of (z^2+4)/z
\int\:_{1}^{5}\frac{z^{2}+4}{z}dz
integral from 0.5 to 1 of x^4
\int\:_{0.5}^{1}x^{4}dx
integral from 0 to 2 of 12x^3+3x^2-4x
\int\:_{0}^{2}12x^{3}+3x^{2}-4xdx
integral from 0 to 5 of sqrt(|x^2-9|)
\int\:_{0}^{5}\sqrt{\left|x^{2}-9\right|}dx
integral from 0 to pi/3 of sin(x)cos(x)
\int\:_{0}^{\frac{π}{3}}\sin(x)\cos(x)dx
integral from 0 to 2 of-x^2+2x+3
\int\:_{0}^{2}-x^{2}+2x+3dx
integral from 1 to 2 of (3(ln(x))^2)/x
\int\:_{1}^{2}\frac{3(\ln(x))^{2}}{x}dx
integral from 0 to 1 of 6x-6x^2
\int\:_{0}^{1}6x-6x^{2}dx
integral from 0 to 2 of cos(pix)
\int\:_{0}^{2}\cos(πx)dx
integral from 1 to 11 of (2ln(x))/x
\int\:_{1}^{11}\frac{2\ln(x)}{x}dx
integral from 0 to 1 of xsqrt(4x^2+1)
\int\:_{0}^{1}x\sqrt{4x^{2}+1}dx
integral from 0 to 28 of x/(sqrt(25+2x))
\int\:_{0}^{28}\frac{x}{\sqrt{25+2x}}dx
integral from 1 to 4 of sqrt(1+36x)
\int\:_{1}^{4}\sqrt{1+36x}dx
integral from 1 to 2 of (x^3-x)
\int\:_{1}^{2}(x^{3}-x)dx
integral from 0 to x of e^{-(x+y)}
\int\:_{0}^{x}e^{-(x+y)}dy
integral from 0 to 1 of sin(pix)cos(pix)
\int\:_{0}^{1}\sin(πx)\cos(πx)dx
integral from 4 to 7 of 1
\int\:_{4}^{7}1
integral from 0 to 1 of x^2(3.6x-2.4x^2)
\int\:_{0}^{1}x^{2}(3.6x-2.4x^{2})dx
integral from 1 to x of sin(x^2)
\int\:_{1}^{x}\sin(x^{2})dx
integral from 2 to 5 of 7-3x
\int\:_{2}^{5}7-3xdx
integral from 1 to 2 of 3x^2+x
\int\:_{1}^{2}3x^{2}+xdx
integral from 1 to 3 of x/(x^2+4)
\int\:_{1}^{3}\frac{x}{x^{2}+4}dx
integral from 4 to 4 of 1
\int\:_{4}^{4}1
integral from-1 to 0 of (2x)/((2+x^2)^3)
\int\:_{-1}^{0}\frac{2x}{(2+x^{2})^{3}}dx
integral from 0 to 2/11 of 1/(121x^2+4)
\int\:_{0}^{\frac{2}{11}}\frac{1}{121x^{2}+4}dx
integral from 0 to ln(2) of 3e^{3x}
\int\:_{0}^{\ln(2)}3e^{3x}dx
integral from 2 to 3 of 2^{4x}
\int\:_{2}^{3}2^{4x}dx
integral from 1 to 2 of-1
\int\:_{1}^{2}-1dx
integral from-1 to 1 of (x^2)/2
\int\:_{-1}^{1}\frac{x^{2}}{2}dx
integral from 7 to 14 of 6/49 x
\int\:_{7}^{14}\frac{6}{49}xdx
integral from-1 to 1 of (x+1)
\int\:_{-1}^{1}(x+1)dx
integral from 1 to 2 of cx^2
\int\:_{1}^{2}cx^{2}dx
integral from-1 to 0 of 4x^2sqrt(4x^3+6)
\int\:_{-1}^{0}4x^{2}\sqrt{4x^{3}+6}dx
integral from 1/2 to 1 of 1/x
\int\:_{\frac{1}{2}}^{1}\frac{1}{x}dx
integral from 3 to 6 of 1/(x^2)
\int\:_{3}^{6}\frac{1}{x^{2}}dx
integral from pi to 2pi of sin((nx)/2)
\int\:_{π}^{2π}\sin(\frac{nx}{2})dx
integral from 0 to 8 of-x^2+8x
\int\:_{0}^{8}-x^{2}+8xdx
integral from 1 to 2 of x^9
\int\:_{1}^{2}x^{9}dx
integral from 0 to sqrt(x of)xcos(x^2)
\int\:_{0}^{\sqrt{x}}x\cos(x^{2})dx
integral from-1 to 2 of (2x+1)
\int\:_{-1}^{2}(2x+1)dx
integral from 1 to 2 of ((x^2+4))/x
\int\:_{1}^{2}\frac{(x^{2}+4)}{x}dx
integral from 1 to x of (e^t)/t
\int\:_{1}^{x}\frac{e^{t}}{t}dt
integral from 0 to 1 of (1-x)^5
\int\:_{0}^{1}(1-x)^{5}dx
integral from 0 to 1 of (1-y)^2
\int\:_{0}^{1}(1-y)^{2}dy
integral from 0 to 2 of 10x
\int\:_{0}^{2}10xdx
integral from 6 to 7 of x
\int\:_{6}^{7}xdx
integral from-3 to 3 of x-|x|
\int\:_{-3}^{3}x-\left|x\right|dx
integral from-2 to 4 of x/2+3
\int\:_{-2}^{4}\frac{x}{2}+3dx
integral from-2 to 2 of 6-x^2
\int\:_{-2}^{2}6-x^{2}dx
integral from 0 to 5 of (3x+1)
\int\:_{0}^{5}(3x+1)dx
integral from 0 to 6-x of 6-x-z
\int\:_{0}^{6-x}6-x-zdz
integral from 0 to 2 of (2x-1)^3
\int\:_{0}^{2}(2x-1)^{3}dx
integral from 2 to 3 of (3-x)/2
\int\:_{2}^{3}\frac{3-x}{2}dx
integral from 1 to 5 of 4/x-4/(x^2)
\int\:_{1}^{5}\frac{4}{x}-\frac{4}{x^{2}}dx
integral from 4 to 8 of x^2
\int\:_{4}^{8}x^{2}dx
integral from a to x of (f(t))/(t^2)
\int\:_{a}^{x}\frac{f(t)}{t^{2}}dt
integral from 0 to 3 of arctan(sqrt(x))
\int\:_{0}^{3}\arctan(\sqrt{x})dx
integral from 0 to 4 of 1/((4-x)^{3/2)}
\int\:_{0}^{4}\frac{1}{(4-x)^{\frac{3}{2}}}dx
integral from 1 to 5 of 2x-1
\int\:_{1}^{5}2x-1dx
integral from 0 to t of e^{-3x}
\int\:_{0}^{t}e^{-3x}dx
integral from 1 to 7 of (x^2-4x+4)
\int\:_{1}^{7}(x^{2}-4x+4)dx
integral from 0 to 2 of xy^2
\int\:_{0}^{2}xy^{2}dx
integral from 0 to 2 of x 3/4 x(2-x)
\int\:_{0}^{2}x\frac{3}{4}x(2-x)dx
integral from-1 to 0 of (6x-1)
\int\:_{-1}^{0}(6x-1)dx
integral from 0 to infinity of x/(x^2+9)
\int\:_{0}^{\infty\:}\frac{x}{x^{2}+9}dx
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