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Popular Calculus Problems
integral from-1 to 1 of 3-x^2
\int\:_{-1}^{1}3-x^{2}dx
integral from 0 to 3 of x/3 e^{x^2}
\int\:_{0}^{3}\frac{x}{3}e^{x^{2}}dx
integral from 0 to a of 7e^x
\int\:_{0}^{a}7e^{x}dx
integral from-pi/2 to pi/2 of 4cos^6(x)
\int\:_{-\frac{π}{2}}^{\frac{π}{2}}4\cos^{6}(x)dx
integral from x^4 to x^3 of (2t-1)^3
\int\:_{x^{4}}^{x^{3}}(2t-1)^{3}dt
integral from 0 to infinity of 2ye^{-2y}
\int\:_{0}^{\infty\:}2ye^{-2y}dy
integral from 0 to x of (t-3)/(t^2+7)
\int\:_{0}^{x}\frac{t-3}{t^{2}+7}dt
integral from 3 to 6 of x^2-2x
\int\:_{3}^{6}x^{2}-2xdx
integral from 0 to 1/2 of 2x^2
\int\:_{0}^{\frac{1}{2}}2x^{2}dx
integral from 0 to 7 of xe^x
\int\:_{0}^{7}xe^{x}dx
integral from 3 to 4 of (9-x^2)
\int\:_{3}^{4}(9-x^{2})dx
integral from 0 to 2pi of (sin(x)cos(x))
\int\:_{0}^{2π}(\sin(x)\cos(x))dx
integral from 1 to infinity of 2/(x^2+2)
\int\:_{1}^{\infty\:}\frac{2}{x^{2}+2}dx
integral from 0 to 3 of 3x+4-(x^2+4)
\int\:_{0}^{3}3x+4-(x^{2}+4)dx
integral from-e^8 to-e^6 of 1/x
\int\:_{-e^{8}}^{-e^{6}}\frac{1}{x}dx
integral from 0 to pi of cos(2x)cos(nx)
\int\:_{0}^{π}\cos(2x)\cos(nx)dx
integral from-1 to 3 of 1-x
\int\:_{-1}^{3}1-xdx
integral from 0 to 1 of x/(x^2+5x+6)
\int\:_{0}^{1}\frac{x}{x^{2}+5x+6}dx
integral from-1 to 1 of xe^{-x^2}
\int\:_{-1}^{1}xe^{-x^{2}}dx
integral from 0 to pi/3 of cos^2(θ)
\int\:_{0}^{\frac{π}{3}}\cos^{2}(θ)dθ
integral from-8 to 1 of x^{-2/3}
\int\:_{-8}^{1}x^{-\frac{2}{3}}dx
integral from-1 to 3 of (3x^2-x-6)
\int\:_{-1}^{3}(3x^{2}-x-6)dx
integral from 0 to 1 of 7x^3sqrt(1-x^2)
\int\:_{0}^{1}7x^{3}\sqrt{1-x^{2}}dx
integral from 4 to 1 of sqrt(x)
\int\:_{4}^{1}\sqrt{x}dx
integral from 0 to 3 of x(8x^2+9)^{1/2}
\int\:_{0}^{3}x(8x^{2}+9)^{\frac{1}{2}}dx
integral from 1 to 3 of (2x^2+1)
\int\:_{1}^{3}(2x^{2}+1)dx
integral from 2 to 6 of 8x-24
\int\:_{2}^{6}8x-24dx
integral from 1 to 9 of 2x
\int\:_{1}^{9}2xdx
integral from 1 to 8 of x^2ln(x)
\int\:_{1}^{8}x^{2}\ln(x)dx
integral from-pi to pi of cos(θ)
\int\:_{-π}^{π}\cos(θ)dθ
integral from 0 to ln(5) of 3e^{3x}
\int\:_{0}^{\ln(5)}3e^{3x}dx
integral from-1 to 1 of (|x|)/x
\int\:_{-1}^{1}\frac{\left|x\right|}{x}dx
integral from 0 to 10 of sqrt(x)
\int\:_{0}^{10}\sqrt{x}dx
integral from 0 to 5 of (5)
\int\:_{0}^{5}(5)dx
integral from 0 to pi of cos(θ)sin^2(θ)
\int\:_{0}^{π}\cos(θ)\sin^{2}(θ)dθ
integral from 0 to 1 of x^{0.5}
\int\:_{0}^{1}x^{0.5}dx
integral from 0 to 4 of-x^2+2x+1
\int\:_{0}^{4}-x^{2}+2x+1dx
integral from 3 to 5 of (x-2)^2
\int\:_{3}^{5}(x-2)^{2}dx
integral from 1 to 2 of 2x^{-2}
\int\:_{1}^{2}2x^{-2}dx
integral from 0 to 1 of x^2(6x-6x^2)
\int\:_{0}^{1}x^{2}(6x-6x^{2})dx
integral from 0 to pi of sin(nx+x)
\int\:_{0}^{π}\sin(nx+x)dx
integral from 0 to 1/4 of sqrt(x)sin(x)
\int\:_{0}^{\frac{1}{4}}\sqrt{x}\sin(x)dx
integral from 0 to 2pi of sin(3x)cos(2x)
\int\:_{0}^{2π}\sin(3x)\cos(2x)dx
integral from pi/2 to pi/2 of 4cos^4(θ)
\int\:_{\frac{π}{2}}^{\frac{π}{2}}4\cos^{4}(θ)dθ
integral from 3 to 5 of 6
\int\:_{3}^{5}6dx
integral from 0 to 3 of 3x^2+4e^{-2x}
\int\:_{0}^{3}3x^{2}+4e^{-2x}dx
integral from-1 to 1 of (3x^2-1)^2
\int\:_{-1}^{1}(3x^{2}-1)^{2}dx
integral from-infinity to 0 of 20xe^{2x}
\int\:_{-\infty\:}^{0}20xe^{2x}dx
integral from 2 to 8 of (-x+5)
\int\:_{2}^{8}(-x+5)dx
integral from-5 to-1 of x/((x^2+2)^2)
\int\:_{-5}^{-1}\frac{x}{(x^{2}+2)^{2}}dx
integral from 2 to 3 of 5
\int\:_{2}^{3}5dx
integral from-infinity to 0 of e^{x/2}
\int\:_{-\infty\:}^{0}e^{\frac{x}{2}}dx
integral from 0 to 4 of-50(t-10)
\int\:_{0}^{4}-50(t-10)dt
integral from 1 to 5 of 1/(2x-1)
\int\:_{1}^{5}\frac{1}{2x-1}dx
integral from 0 to pi/4 of 8sec(x)tan(x)
\int\:_{0}^{\frac{π}{4}}8\sec(x)\tan(x)dx
integral from 1 to 6 of x^2-2x-24
\int\:_{1}^{6}x^{2}-2x-24dx
integral from 1 to 2 of 3sqrt(x)
\int\:_{1}^{2}3\sqrt{x}dx
integral from 0 to pi of cos(s)sin(s)
\int\:_{0}^{π}\cos(s)\sin(s)ds
integral from-2 to 3 of (4-x^2)
\int\:_{-2}^{3}(4-x^{2})dx
integral from 0 to 1 of cos(pi/2 t)
\int\:_{0}^{1}\cos(\frac{π}{2}t)dt
integral from 0 to pi of csc(x)
\int\:_{0}^{π}\csc(x)dx
integral from pi/2 to pi of 2sin(x)
\int\:_{\frac{π}{2}}^{π}2\sin(x)dx
integral from 0 to 1 of (x^2-4x+4)
\int\:_{0}^{1}(x^{2}-4x+4)dx
integral from 0 to u of sqrt(11+12t^2)
\int\:_{0}^{u}\sqrt{11+12t^{2}}dt
integral from 4 to 5 of x^2-4x
\int\:_{4}^{5}x^{2}-4xdx
integral from 0 to 9 of (x-1/2)
\int\:_{0}^{9}(x-\frac{1}{2})dx
integral from-pi/2 to pi/2 of 2xcos(x)
\int\:_{-\frac{π}{2}}^{\frac{π}{2}}2x\cos(x)dx
integral from 0 to 1 of 4x-4
\int\:_{0}^{1}4x-4dx
integral from 0 to 2pi of (cos^2(t))
\int\:_{0}^{2π}(\cos^{2}(t))dt
integral from 1 to 10 of x(x-1)
\int\:_{1}^{10}x(x-1)dx
integral from-2 to 2 of 4e^x
\int\:_{-2}^{2}4e^{x}dx
integral from 0 to pi of sin(x)+1
\int\:_{0}^{π}\sin(x)+1dx
integral from 0 to 9 of sqrt(x)-x/3
\int\:_{0}^{9}\sqrt{x}-\frac{x}{3}dx
integral from 1 to 6 of t^2-2t-24
\int\:_{1}^{6}t^{2}-2t-24dt
integral from 1 to 3 of-(x^2-4x+3)
\int\:_{1}^{3}-(x^{2}-4x+3)dx
integral from 5 to 25 of (x-5)/x
\int\:_{5}^{25}\frac{x-5}{x}dx
integral from 60 to 90 of 1/(4+x^2)
\int\:_{60}^{90}\frac{1}{4+x^{2}}dx
integral from 0 to 2 of sin(θ)
\int\:_{0}^{2}\sin(θ)dθ
integral from 1 to 4 of |3-x|
\int\:_{1}^{4}\left|3-x\right|dx
integral from 1 to 3 of sqrt((x-1)(3-x))
\int\:_{1}^{3}\sqrt{(x-1)(3-x)}dx
integral from 1 to infinity of x^2+x+1
\int\:_{1}^{\infty\:}x^{2}+x+1dx
integral from 0 to 2 of 2e^{x^2-x}
\int\:_{0}^{2}2e^{x^{2}-x}dx
integral from 0 to pi/4 of 16cos^2(x)
\int\:_{0}^{\frac{π}{4}}16\cos^{2}(x)dx
integral from 0 to 24 of xsqrt(x+a)
\int\:_{0}^{24}x\sqrt{x+a}dx
integral from 0 to 1 of (sin(x))/(x^2)
\int\:_{0}^{1}\frac{\sin(x)}{x^{2}}dx
integral from x to 0 of cos(t^2)
\int\:_{x}^{0}\cos(t^{2})dt
integral from 1 to 4 of 5/t
\int\:_{1}^{4}\frac{5}{t}dt
integral from 0 to 1 of 6x(x-1)
\int\:_{0}^{1}6x(x-1)dx
integral from 1 to 4 of 4-4/x
\int\:_{1}^{4}4-\frac{4}{x}dx
integral from 0 to 3 of 1/(x^2-9)
\int\:_{0}^{3}\frac{1}{x^{2}-9}dx
integral from 1 to e^2 of piln^2(x)
\int\:_{1}^{e^{2}}π\ln^{2}(x)dx
integral from 0 to 3 of 2t-3
\int\:_{0}^{3}2t-3dt
integral from 0 to 6 of (6-x)(6)
\int\:_{0}^{6}(6-x)(6)dx
integral from 1 to 2 of (x+1)sqrt(x-1)
\int\:_{1}^{2}(x+1)\sqrt{x-1}dx
integral from-1 to 3 of-x^2+3x
\int\:_{-1}^{3}-x^{2}+3xdx
integral from 0 to 2 of pi(4-2x)^2
\int\:_{0}^{2}π(4-2x)^{2}dx
integral from 1 to 2.5 of (2x+5/(2x^2))
\int\:_{1}^{2.5}(2x+\frac{5}{2x^{2}})dx
integral from 0 to 9 of (10)/((x+1)^2)
\int\:_{0}^{9}\frac{10}{(x+1)^{2}}dx
integral from-1 to 1 of |e^{2x}-10|
\int\:_{-1}^{1}\left|e^{2x}-10\right|dx
integral from 0 to 2 of pi(8x-x^4)
\int\:_{0}^{2}π(8x-x^{4})dx
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