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Popular Calculus Problems
integral from-1 to 0 of x^3-6x
\int\:_{-1}^{0}x^{3}-6xdx
integral from 1 to 4 of 7/(xln(7x))
\int\:_{1}^{4}\frac{7}{x\ln(7x)}dx
integral from-2 to 0 of-x^3+4x
\int\:_{-2}^{0}-x^{3}+4xdx
integral from 0 to 1 of x^2sqrt(2+x)
\int\:_{0}^{1}x^{2}\sqrt{2+x}dx
integral from 1 to 2 of pi(x^{-1251})^2
\int\:_{1}^{2}π(x^{-1251})^{2}dx
integral from 1 to 4 of 1/(2y)
\int\:_{1}^{4}\frac{1}{2y}dy
integral from 0 to 4 of 3x(4-x)
\int\:_{0}^{4}3x(4-x)dx
integral from 0 to a of e^{-st}
\int\:_{0}^{a}e^{-st}dt
integral from 1 to 3 of 1/(sqrt(x^2-1))
\int\:_{1}^{3}\frac{1}{\sqrt{x^{2}-1}}dx
integral from 1 to 4 of (x^2-4x+5)
\int\:_{1}^{4}(x^{2}-4x+5)dx
integral from 0 to 1 of (x-x^2)sin(npix)
\int\:_{0}^{1}(x-x^{2})\sin(nπx)dx
integral from-2 to 3 of 1/((x^4))
\int\:_{-2}^{3}\frac{1}{(x^{4})}dx
integral from pi to 2pi of rsin(r)
\int\:_{π}^{2π}r\sin(r)dr
integral from (-pi)/2 to pi/2 of g(x)
\int\:_{\frac{-π}{2}}^{\frac{π}{2}}g(x)dx
integral from 0 to 1 of ((x-1)/(x+1))^3
\int\:_{0}^{1}(\frac{x-1}{x+1})^{3}dx
integral from-2 to 1 of (3x^2-6x+2)
\int\:_{-2}^{1}(3x^{2}-6x+2)dx
integral from-3 to 1 of 1/((x+1)^2)
\int\:_{-3}^{1}\frac{1}{(x+1)^{2}}dx
integral from 0 to y of sqrt(9+y^2)
\int\:_{0}^{y}\sqrt{9+y^{2}}dy
integral from 0 to 3pi of sin^5(x)
\int\:_{0}^{3π}\sin^{5}(x)dx
integral from 0 to pi/6 of xsin(6x)
\int\:_{0}^{\frac{π}{6}}x\sin(6x)dx
integral from 0 to 1 of rsqrt(2-r^2)-r^2
\int\:_{0}^{1}r\sqrt{2-r^{2}}-r^{2}dr
integral from-1 to 0 of (x^2-x)/(1+x^2)
\int\:_{-1}^{0}\frac{x^{2}-x}{1+x^{2}}dx
integral from-1 to 1 of x/(cos^2(x))
\int\:_{-1}^{1}\frac{x}{\cos^{2}(x)}dx
integral from 0 to 3 of (4x^2-2x+5)
\int\:_{0}^{3}(4x^{2}-2x+5)dx
integral from 0 to 2 of 5xe^{-x^2}
\int\:_{0}^{2}5xe^{-x^{2}}dx
integral from 0 to 1 of 3x(4x^2-1)^5
\int\:_{0}^{1}3x(4x^{2}-1)^{5}dx
integral from 0 to 1 of x^2(3x^2)
\int\:_{0}^{1}x^{2}(3x^{2})dx
integral from-1 to 1 of 1/(1+t^2)
\int\:_{-1}^{1}\frac{1}{1+t^{2}}dt
integral from 0 to pi of (1-cos(2x))
\int\:_{0}^{π}(1-\cos(2x))dx
integral from 0 to 2 of 1/((2-x)^2)
\int\:_{0}^{2}\frac{1}{(2-x)^{2}}dx
integral from 0 to 5/4 of sqrt(1+9x)
\int\:_{0}^{\frac{5}{4}}\sqrt{1+9x}dx
integral from 4 to 4.5 of (6-x)/6
\int\:_{4}^{4.5}\frac{6-x}{6}dx
integral from 1 to 5 of ln(x-1)
\int\:_{1}^{5}\ln(x-1)dx
integral from 51 to 100 of 1/x
\int\:_{51}^{100}\frac{1}{x}dx
integral from 0 to pi of sin^2(θ)sin(θ)
\int\:_{0}^{π}\sin^{2}(θ)\sin(θ)dθ
integral from-3 to 2 of 2xe^x
\int\:_{-3}^{2}2xe^{x}dx
integral from-infinity to ln(7) of e^x
\int\:_{-\infty\:}^{\ln(7)}e^{x}dx
integral from-6 to 6 of \sqrt[a]{x^4}
\int\:_{-6}^{6}\sqrt[a]{x^{4}}dx
integral from 0 to 3 of xsqrt(1+4x^2)
\int\:_{0}^{3}x\sqrt{1+4x^{2}}dx
integral from 0 to 2 of 3x^2-2x+1
\int\:_{0}^{2}3x^{2}-2x+1dx
integral from 1 to 0 of 1/(sqrt(x))
\int\:_{1}^{0}\frac{1}{\sqrt{x}}dx
integral from 0 to 6 of (x^2+1)e^{3x}
\int\:_{0}^{6}(x^{2}+1)e^{3x}dx
integral from 3 to x of 9x
\int\:_{3}^{x}9xdx
integral from 0 to 2 of (2x^2)^2
\int\:_{0}^{2}(2x^{2})^{2}dx
integral from 1 to 5 of (x-arctan(x))
\int\:_{1}^{5}(x-\arctan(x))dx
integral from 0 to 5 of 1/(x^{8/9)}
\int\:_{0}^{5}\frac{1}{x^{\frac{8}{9}}}dx
integral from 1 to e-1 of 2xln(x+1)
\int\:_{1}^{e-1}2x\ln(x+1)dx
integral from-4 to 3 of x^2+x-12
\int\:_{-4}^{3}x^{2}+x-12dx
integral from-4 to 4 of (2-sqrt(x))
\int\:_{-4}^{4}(2-\sqrt{x})dx
integral from 0 to 1 of (x^3-x+1)
\int\:_{0}^{1}(x^{3}-x+1)dx
integral from 0 to 1 of (x-sqrt(x))/2
\int\:_{0}^{1}\frac{x-\sqrt{x}}{2}dx
integral from 0 to 3 of r
\int\:_{0}^{3}rdr
integral from 0 to 1 of sqrt(x/y)
\int\:_{0}^{1}\sqrt{\frac{x}{y}}dx
integral from 0 to pi/2 of 2sin^2(2x)
\int\:_{0}^{\frac{π}{2}}2\sin^{2}(2x)dx
integral from 0 to 1 of re^{-r^2}
\int\:_{0}^{1}re^{-r^{2}}dr
integral from 0 to pi/6 of cos(θ)sin(θ)
\int\:_{0}^{\frac{π}{6}}\cos(θ)\sin(θ)dθ
integral from 0 to x of sqrt(x^2-t^2)
\int\:_{0}^{x}\sqrt{x^{2}-t^{2}}dt
integral from 0 to 1 of (2x^2+3x-4)
\int\:_{0}^{1}(2x^{2}+3x-4)dx
integral from x^2+3 to 4x of 1
\int\:_{x^{2}+3}^{4x}1dy
integral from 0 to 3 of x(1.33x^2-3)
\int\:_{0}^{3}x(1.33x^{2}-3)dx
integral from 1 to 7 of e^x
\int\:_{1}^{7}e^{x}dx
integral from 1 to 4 of xln(2)-3/(2x)
\int\:_{1}^{4}x\ln(2)-\frac{3}{2x}dx
integral from 2 to 10 of (5x^2-2)
\int\:_{2}^{10}(5x^{2}-2)dx
integral from 0 to 1 of x^4-1
\int\:_{0}^{1}x^{4}-1dx
integral from 0.1 to 3 of ln(x)
\int\:_{0.1}^{3}\ln(x)dx
integral from-3 to 3 of x^5
\int\:_{-3}^{3}x^{5}dx
integral from 0 to 5 of 3/(sqrt(5-x))
\int\:_{0}^{5}\frac{3}{\sqrt{5-x}}dx
integral from 1 to 3 of sqrt(1+t^2)
\int\:_{1}^{3}\sqrt{1+t^{2}}dt
integral from 0 to 1 of sqrt(2/(2-r^2))r
\int\:_{0}^{1}\sqrt{\frac{2}{2-r^{2}}}rdr
integral from-2 to 2 of (x^3-x^5)
\int\:_{-2}^{2}(x^{3}-x^{5})dx
integral from-1 to 3 of (x^2+3)
\int\:_{-1}^{3}(x^{2}+3)dx
integral from 0 to 4 of (y-2)^2
\int\:_{0}^{4}(y-2)^{2}dy
integral from 2 to 4 of 1/(x^2-3)
\int\:_{2}^{4}\frac{1}{x^{2}-3}dx
integral from 0 to 3 of (-x^2+4)
\int\:_{0}^{3}(-x^{2}+4)dx
integral from-2 to 2 of x-(x^3-3x)
\int\:_{-2}^{2}x-(x^{3}-3x)dx
integral from 0 to 1 of e^{-(x^2)}
\int\:_{0}^{1}e^{-(x^{2})}dx
integral from-9 to 0 of (y/9+sqrt(y+10))
\int\:_{-9}^{0}(\frac{y}{9}+\sqrt{y+10})dy
integral from 0 to 1/2 of sqrt(81-324x^2)
\int\:_{0}^{\frac{1}{2}}\sqrt{81-324x^{2}}dx
integral from 0 to x of q(1-x/L)
\int\:_{0}^{x}q(1-\frac{x}{L})dx
integral from 2 to 6 of (x^2-4x)
\int\:_{2}^{6}(x^{2}-4x)dx
integral from 1 to 2 of xsqrt(x^2-2)
\int\:_{1}^{2}x\sqrt{x^{2}-2}dx
integral from 1 to x of ln(y)
\int\:_{1}^{x}\ln(y)dy
integral from 0 to 1/2 of (cos(pix)-2^x)
\int\:_{0}^{\frac{1}{2}}(\cos(πx)-2^{x})dx
integral from 0 to 1 of (e^t-e+1)^2
\int\:_{0}^{1}(e^{t}-e+1)^{2}dt
integral from 0 to 1 of sqrt(1)
\int\:_{0}^{1}\sqrt{1}
integral from 1 to 2 of (2-6y^2)
\int\:_{1}^{2}(2-6y^{2})dy
integral from 2 to 5 of 2piy(5-y)
\int\:_{2}^{5}2πy(5-y)dy
integral from 0 to 4 of (x^2)/(16)
\int\:_{0}^{4}\frac{x^{2}}{16}dx
integral from 1 to 2 of-1/x
\int\:_{1}^{2}-\frac{1}{x}dx
integral from 0 to pi/3 of e^{-t}cos(t)
\int\:_{0}^{\frac{π}{3}}e^{-t}\cos(t)dt
integral from 1 to 2 of x^2-1/(4x^2)
\int\:_{1}^{2}x^{2}-\frac{1}{4x^{2}}dx
integral from 1 to 3 of (3/(x^2)-1)
\int\:_{1}^{3}(\frac{3}{x^{2}}-1)dx
integral from 0 to 7pi of 5+sin(x)
\int\:_{0}^{7π}5+\sin(x)dx
integral from 0 to 1 of x/(sqrt(x^2-1))
\int\:_{0}^{1}\frac{x}{\sqrt{x^{2}-1}}dx
integral from 0 to x of sin(x/y)
\int\:_{0}^{x}\sin(\frac{x}{y})dx
integral from-3 to-1 of-6x^2+3x+7
\int\:_{-3}^{-1}-6x^{2}+3x+7dx
integral from 0 to 8 of (x^2+1)e^{-x}
\int\:_{0}^{8}(x^{2}+1)e^{-x}dx
integral from 0 to 2 of (sin((pix)/2))^2
\int\:_{0}^{2}(\sin(\frac{πx}{2}))^{2}dx
integral from 0 to 2 of (8x^3-3x^2+6x+2)
\int\:_{0}^{2}(8x^{3}-3x^{2}+6x+2)dx
integral from 1 to 3 of x^2-4x+6
\int\:_{1}^{3}x^{2}-4x+6dx
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