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Popular Calculus Problems
integral from 0 to 3 of (x^2)/(x^3+1)
\int\:_{0}^{3}\frac{x^{2}}{x^{3}+1}dx
integral from 0 to 1 of cos(y^2)
\int\:_{0}^{1}\cos(y^{2})dy
integral from 2 to infinity of x/(x^2-1)
\int\:_{2}^{\infty\:}\frac{x}{x^{2}-1}dx
integral from 0 to infinity of 1/(x-1)
\int\:_{0}^{\infty\:}\frac{1}{x-1}dx
integral from x^2 to 2x of (x^2+y^2)
\int\:_{x^{2}}^{2x}(x^{2}+y^{2})dy
integral from 0 to 1 of (x-3)^2
\int\:_{0}^{1}(x-3)^{2}dx
integral from 1 to 2 of (x^2)/(x^3+1)
\int\:_{1}^{2}\frac{x^{2}}{x^{3}+1}dx
integral from 0 to 3 of (4^x-x^e)
\int\:_{0}^{3}(4^{x}-x^{e})dx
integral from-3 to 3 of |4-x^2|
\int\:_{-3}^{3}\left|4-x^{2}\right|dx
integral from 50 to 100 of x/(24+5x^2)
\int\:_{50}^{100}\frac{x}{24+5x^{2}}dx
integral from 5 to infinity of 1/(x^5)
\int\:_{5}^{\infty\:}\frac{1}{x^{5}}dx
integral from 0 to 2 of |2x-2|
\int\:_{0}^{2}\left|2x-2\right|dx
integral from 1 to 2 of 4^{3x}
\int\:_{1}^{2}4^{3x}dx
integral from 1 to 2 of (z^2+3)/z
\int\:_{1}^{2}\frac{z^{2}+3}{z}dz
integral from 1 to 5 of (2/x)
\int\:_{1}^{5}(\frac{2}{x})dx
integral from 1 to 4 of ln(4x)
\int\:_{1}^{4}\ln(4x)dx
integral from 0 to t of te^t
\int\:_{0}^{t}te^{t}dt
integral from 0 to 1 of sqrt(9-x^2)
\int\:_{0}^{1}\sqrt{9-x^{2}}dx
integral from 0 to 2 of xcos(pix)
\int\:_{0}^{2}x\cos(πx)dx
integral from 0 to sqrt(26 of)x^2-13
\int\:_{0}^{\sqrt{26}}x^{2}-13dx
integral from 0 to 2 of (2x-3)(4x^2+4)
\int\:_{0}^{2}(2x-3)(4x^{2}+4)dx
integral from 0 to 2 of (x^3)/(16-x^2)
\int\:_{0}^{2}\frac{x^{3}}{16-x^{2}}dx
integral from-4 to 4 of 2x
\int\:_{-4}^{4}2xdx
integral from 1 to 2 of 2x(x^2+6)
\int\:_{1}^{2}2x(x^{2}+6)dx
integral from 0 to 2 of (x-1)^3
\int\:_{0}^{2}(x-1)^{3}dx
integral from 1 to 2 of sqrt(1+4x^2)
\int\:_{1}^{2}\sqrt{1+4x^{2}}dx
integral from 0 to 1 of (arctan(x))
\int\:_{0}^{1}(\arctan(x))dx
integral from 0 to 3 of pix
\int\:_{0}^{3}πxdx
integral from 0 to pi/3 of (10sec^2(x))
\int\:_{0}^{\frac{π}{3}}(10\sec^{2}(x))dx
integral from 0 to pi of sin(t)cos^2(t)
\int\:_{0}^{π}\sin(t)\cos^{2}(t)dt
integral from 0 to x^3 of e^{-t}
\int\:_{0}^{x^{3}}e^{-t}dt
integral from 3 to 6 of (2x+1)e^{0.4x}
\int\:_{3}^{6}(2x+1)e^{0.4x}dx
integral from 0 to 2 of 5^{5x}
\int\:_{0}^{2}5^{5x}dx
integral from-1 to 2 of-y^2+y+2
\int\:_{-1}^{2}-y^{2}+y+2dy
integral from 0 to 4 of xcos^2(x)
\int\:_{0}^{4}x\cos^{2}(x)dx
integral from 0 to sqrt(2 of) 3/(2+x^2)
\int\:_{0}^{\sqrt{2}}\frac{3}{2+x^{2}}dx
integral from 0 to 2 of |t-1|
\int\:_{0}^{2}\left|t-1\right|dt
integral from 0 to pi of sin(v)
\int\:_{0}^{π}\sin(v)dv
integral from 2 to 5 of 2/(3x+1)
\int\:_{2}^{5}\frac{2}{3x+1}dx
integral from 0 to ln(2) of e^x-e^{-x}
\int\:_{0}^{\ln(2)}e^{x}-e^{-x}dx
integral from 1 to 2 of 3x^2-2x
\int\:_{1}^{2}3x^{2}-2xdx
integral from-2 to 0 of 9x^2(2x^3+5)^2
\int\:_{-2}^{0}9x^{2}(2x^{3}+5)^{2}dx
integral from 0 to x of e^{-(t^2)/2}
\int\:_{0}^{x}e^{-\frac{t^{2}}{2}}dt
integral from-1 to 1 of (x^4)
\int\:_{-1}^{1}(x^{4})dx
integral from 1 to infinity of 5/(x^6)
\int\:_{1}^{\infty\:}\frac{5}{x^{6}}dx
integral from 0 to 1 of e^{x-1}
\int\:_{0}^{1}e^{x-1}dx
integral from 0 to 1/2 of 1/(1+x^4)
\int\:_{0}^{\frac{1}{2}}\frac{1}{1+x^{4}}dx
integral from 1 to infinity of 1/(5^x)
\int\:_{1}^{\infty\:}\frac{1}{5^{x}}dx
integral from-pi to pi of t
\int\:_{-π}^{π}tdt
integral from 4 to x^2 of e^{-sqrt(t)}
\int\:_{4}^{x^{2}}e^{-\sqrt{t}}dt
integral from 0 to 25 of sqrt(t)
\int\:_{0}^{25}\sqrt{t}dt
integral from-1 to 1 of x^3-3x-3
\int\:_{-1}^{1}x^{3}-3x-3dx
integral from 0 to 3 of 2x(x-3)
\int\:_{0}^{3}2x(x-3)dx
integral from 0 to 1 of pix^4
\int\:_{0}^{1}πx^{4}dx
integral from 0 to pi/3 of cos(x)sin(x)
\int\:_{0}^{\frac{π}{3}}\cos(x)\sin(x)dx
integral from 7 to 49 of 1/(x(ln(x))^3)
\int\:_{7}^{49}\frac{1}{x(\ln(x))^{3}}dx
integral from 0 to x of ln(x+2)
\int\:_{0}^{x}\ln(x+2)dx
integral from 2 to 3 of 2^{5x}
\int\:_{2}^{3}2^{5x}dx
integral from 0 to 6 of 2/((x+2)^2)
\int\:_{0}^{6}\frac{2}{(x+2)^{2}}dx
integral from 0 to pi of 2sin(2x)
\int\:_{0}^{π}2\sin(2x)dx
integral from 0 to 2 of (3x^3-2x+5)
\int\:_{0}^{2}(3x^{3}-2x+5)dx
integral from-infinity to 1 of θe^θ
\int\:_{-\infty\:}^{1}θe^{θ}dθ
integral from 0 to 2 of (8x-x^4)
\int\:_{0}^{2}(8x-x^{4})dx
integral from 0 to 2 of 2x^2-3x+2
\int\:_{0}^{2}2x^{2}-3x+2dx
integral from 0 to pi/2 of e^x-cos(x)
\int\:_{0}^{\frac{π}{2}}e^{x}-\cos(x)dx
integral from 1 to infinity of pi(1/x)^2
\int\:_{1}^{\infty\:}π(\frac{1}{x})^{2}dx
integral from 2 to 6 of (x^3-4x)
\int\:_{2}^{6}(x^{3}-4x)dx
integral from 0 to 2 of (-x^2+4)
\int\:_{0}^{2}(-x^{2}+4)dx
integral from-pi to pi of t^2sin(nt)
\int\:_{-π}^{π}t^{2}\sin(nt)dt
integral from 0 to 2pi of cos^8(x)
\int\:_{0}^{2π}\cos^{8}(x)dx
integral from 0 to t^4 of sqrt(u^3)
\int\:_{0}^{t^{4}}\sqrt{u^{3}}du
integral from 0 to 3 of (x^2)/(x^3+6)
\int\:_{0}^{3}\frac{x^{2}}{x^{3}+6}dx
integral from 0 to 2pi of-5sin^2(t)
\int\:_{0}^{2π}-5\sin^{2}(t)dt
integral from 1 to 4 of t^2-t-6
\int\:_{1}^{4}t^{2}-t-6dt
integral from 0 to 2 of 6x^3sqrt(x^4+9)
\int\:_{0}^{2}6x^{3}\sqrt{x^{4}+9}dx
integral from 1 to 4 of 5-2x+3x^2
\int\:_{1}^{4}5-2x+3x^{2}dx
integral from 0 to 5 of 250000e^{-0.1x}
\int\:_{0}^{5}250000e^{-0.1x}dx
integral from-1 to 2 of (x^2-2x+2)
\int\:_{-1}^{2}(x^{2}-2x+2)dx
integral from 0 to 5 of (x^2+2x-15)
\int\:_{0}^{5}(x^{2}+2x-15)dx
integral from 0 to 2 of 6x^2-4x+5
\int\:_{0}^{2}6x^{2}-4x+5dx
integral from 1 to 16 of x^{-11/4}
\int\:_{1}^{16}x^{-\frac{11}{4}}dx
integral from 1 to 9 of 1/(x+sqrt(x))
\int\:_{1}^{9}\frac{1}{x+\sqrt{x}}dx
integral from 0 to 12 of x/(sqrt(4+5x))
\int\:_{0}^{12}\frac{x}{\sqrt{4+5x}}dx
integral from 0 to 0.38 of ln(1+x^2)
\int\:_{0}^{0.38}\ln(1+x^{2})dx
integral from 1 to 3 of 7
\int\:_{1}^{3}7dx
integral from 0 to x of (t^3+1)^{10}
\int\:_{0}^{x}(t^{3}+1)^{10}dt
integral from 0 to 2 of 2/(sqrt(4-x^2))
\int\:_{0}^{2}\frac{2}{\sqrt{4-x^{2}}}dx
integral from y to 1 of sin(x^2)
\int\:_{y}^{1}\sin(x^{2})dx
integral from 0 to 8/3 of 3x-8
\int\:_{0}^{\frac{8}{3}}3x-8dx
integral from 0 to 1 of xarctan(1-x)
\int\:_{0}^{1}x\arctan(1-x)dx
integral from-3 to 3 of (x^2-9)
\int\:_{-3}^{3}(x^{2}-9)dx
integral from 0 to pi/4 of (tan(x))^3
\int\:_{0}^{\frac{π}{4}}(\tan(x))^{3}dx
integral from 2 to y/2 of 6x^2y
\int\:_{2}^{\frac{y}{2}}6x^{2}ydx
integral from 1 to 3 of x+1
\int\:_{1}^{3}x+1dx
integral from 2 to 5 of (x^2+4)
\int\:_{2}^{5}(x^{2}+4)dx
integral from 0 to 1 of ((x+3)-(x^5+3))
\int\:_{0}^{1}((x+3)-(x^{5}+3))dx
integral from 0 to 4 of (2x+1)
\int\:_{0}^{4}(2x+1)dx
integral from-pi to pi of pi^2-x^2
\int\:_{-π}^{π}π^{2}-x^{2}dx
integral from 1 to 2 of (3x)/(sqrt(4-x))
\int\:_{1}^{2}\frac{3x}{\sqrt{4-x}}dx
integral from-pi to 6pi of cos^2(x)
\int\:_{-π}^{6π}\cos^{2}(x)dx
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