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Popular Calculus Problems
integral from 0 to 1 of 3/2 (1-x^2)
\int\:_{0}^{1}\frac{3}{2}(1-x^{2})dx
integral from 0 to 1 of e^{-y^2}
\int\:_{0}^{1}e^{-y^{2}}dy
integral from 0 to 1 of 1/((1-x))
\int\:_{0}^{1}\frac{1}{(1-x)}dx
integral from 0 to ln(3) of tanh(x)
\int\:_{0}^{\ln(3)}\tanh(x)dx
integral from-1 to 3 of (x^2)
\int\:_{-1}^{3}(x^{2})dx
integral from 0 to 2 of 1/(sqrt(25-x^2))
\int\:_{0}^{2}\frac{1}{\sqrt{25-x^{2}}}dx
integral from pi/5 to pi of |cos(x)|
\int\:_{\frac{π}{5}}^{π}\left|\cos(x)\right|dx
integral from 0 to 1 of x/(x^2+2)
\int\:_{0}^{1}\frac{x}{x^{2}+2}dx
integral from 2 to 6 of (8t^3-6t^{-2})
\int\:_{2}^{6}(8t^{3}-6t^{-2})dt
integral from-1 to 0 of (x^5)sqrt(x^3+1)
\int\:_{-1}^{0}(x^{5})\sqrt{x^{3}+1}dx
integral from 0 to 1 of (x^3)/2
\int\:_{0}^{1}\frac{x^{3}}{2}dx
integral from-4 to 2 of 1/(sqrt(16-x^2))
\int\:_{-4}^{2}\frac{1}{\sqrt{16-x^{2}}}dx
integral from-1 to 1 of-x^2
\int\:_{-1}^{1}-x^{2}dx
integral from-3 to 1 of (x^2+x-2)
\int\:_{-3}^{1}(x^{2}+x-2)dx
integral from-2 to 3 of (x-3)/4
\int\:_{-2}^{3}\frac{x-3}{4}dx
integral from 0 to 1 of e^{(-x^2)/2}
\int\:_{0}^{1}e^{\frac{-x^{2}}{2}}dx
integral from 0 to 3 of x/(sqrt(7+x^2))
\int\:_{0}^{3}\frac{x}{\sqrt{7+x^{2}}}dx
integral from 0 to 1 of x/(sqrt(x)+1)
\int\:_{0}^{1}\frac{x}{\sqrt{x}+1}dx
integral from 2 to 10 of 1/(sqrt(5x-1))
\int\:_{2}^{10}\frac{1}{\sqrt{5x-1}}dx
integral from 1 to 8 of (6x)/(x^2+6)
\int\:_{1}^{8}\frac{6x}{x^{2}+6}dx
integral from 0 to infinity of e^{-x}x^3
\int\:_{0}^{\infty\:}e^{-x}x^{3}dx
integral from 0 to 2pi of-sin(x)cos(x)
\int\:_{0}^{2π}-\sin(x)\cos(x)dx
integral from 0 to 11 of sqrt(22x-x^2)
\int\:_{0}^{11}\sqrt{22x-x^{2}}dx
integral from-1 to 2 of (x+3)-(x^2+1)
\int\:_{-1}^{2}(x+3)-(x^{2}+1)dx
integral from 1 to 8 of x^{-10/3}
\int\:_{1}^{8}x^{-\frac{10}{3}}dx
integral from 1 to 2 of 16xe^{4x^2}
\int\:_{1}^{2}16xe^{4x^{2}}dx
integral from 0 to 1 of ((e^x+1))/(e^x)
\int\:_{0}^{1}\frac{(e^{x}+1)}{e^{x}}dx
integral from-1 to 2 of 1/(x^2-1)
\int\:_{-1}^{2}\frac{1}{x^{2}-1}dx
integral from 0 to sqrt(2 of)x^3e^{-x^2}
\int\:_{0}^{\sqrt{2}}x^{3}e^{-x^{2}}dx
integral from 0 to 2 of y/2
\int\:_{0}^{2}\frac{y}{2}dy
integral from 1 to 4 of (x^2-1)
\int\:_{1}^{4}(x^{2}-1)dx
integral from 0 to sqrt(x of)ycos(x^2)
\int\:_{0}^{\sqrt{x}}y\cos(x^{2})dy
integral from 0 to 1/2 of (arcsin(x))^2
\int\:_{0}^{\frac{1}{2}}(\arcsin(x))^{2}dx
integral from 0 to 2pi of 4cos^2(θ)
\int\:_{0}^{2π}4\cos^{2}(θ)dθ
integral from 1 to 2 of (5-7x)/(x^3)
\int\:_{1}^{2}\frac{5-7x}{x^{3}}dx
integral from 0 to ln(4) of tanh(x)
\int\:_{0}^{\ln(4)}\tanh(x)dx
integral from 0 to 1 of x^2-4x+7
\int\:_{0}^{1}x^{2}-4x+7dx
integral from 0 to pi/6 of 3cos(x)+1
\int\:_{0}^{\frac{π}{6}}3\cos(x)+1dx
integral from 0 to 2 of x3^{-x^2}
\int\:_{0}^{2}x3^{-x^{2}}dx
integral from 0 to 2 of (ln(x))/x
\int\:_{0}^{2}\frac{\ln(x)}{x}dx
integral from-5 to 0 of (2-sqrt(25-x^2))
\int\:_{-5}^{0}(2-\sqrt{25-x^{2}})dx
integral from-2 to 4 of 2/(x^3)
\int\:_{-2}^{4}\frac{2}{x^{3}}dx
integral from-3 to 2 of 3x^2-5x
\int\:_{-3}^{2}3x^{2}-5xdx
integral from 0 to x of 6e^{x+2y}
\int\:_{0}^{x}6e^{x+2y}dy
integral from 2 to 2 of x^2
\int\:_{2}^{2}x^{2}dx
integral from-2 to 8 of |x|
\int\:_{-2}^{8}\left|x\right|dx
integral from 0 to 3 of pix^2
\int\:_{0}^{3}πx^{2}dx
integral from 0 to 4 of 8/x
\int\:_{0}^{4}\frac{8}{x}dx
integral from 1 to 2 of 1/(x^2-7x+3)
\int\:_{1}^{2}\frac{1}{x^{2}-7x+3}dx
integral from 0 to t of ue^{-u}
\int\:_{0}^{t}ue^{-u}du
integral from 0 to 1 of x^{11}+11^x
\int\:_{0}^{1}x^{11}+11^{x}dx
integral from 2 to 10 of ln(x)
\int\:_{2}^{10}\ln(x)dx
integral from-pi/2 to 0 of sin(x)
\int\:_{-\frac{π}{2}}^{0}\sin(x)dx
integral from-2 to 1 of x^4
\int\:_{-2}^{1}x^{4}dx
integral from 1 to 3 of e^{2x}
\int\:_{1}^{3}e^{2x}dx
integral from 0 to 2 of e^t
\int\:_{0}^{2}e^{t}dt
integral from-5 to 0 of 2+sqrt(25-x^2)
\int\:_{-5}^{0}2+\sqrt{25-x^{2}}dx
integral from 0 to xcos(x) of sqrt(25-t^2)
\int\:_{0}^{x\cos(x)}\sqrt{25-t^{2}}dt
integral from 0 to 4 of x^2-4
\int\:_{0}^{4}x^{2}-4dx
integral from 2 to 5 of 3^{5x}
\int\:_{2}^{5}3^{5x}dx
integral from-2 to-1 of 1/(x^2)
\int\:_{-2}^{-1}\frac{1}{x^{2}}dx
integral from 0 to 1 of (-x+1)^2
\int\:_{0}^{1}(-x+1)^{2}dx
integral from ln(pi) to 2 of e^xsin(e^x)
\int\:_{\ln(π)}^{2}e^{x}\sin(e^{x})dx
integral from 1 to 1.6 of (2x)/(x^2-4)
\int\:_{1}^{1.6}\frac{2x}{x^{2}-4}dx
integral from 0 to 1 of-x^2+x
\int\:_{0}^{1}-x^{2}+xdx
integral from 0 to 1 of (x^2+y^2)
\int\:_{0}^{1}(x^{2}+y^{2})dx
integral from 1 to 5 of sqrt(3x+1)
\int\:_{1}^{5}\sqrt{3x+1}dx
integral from 0 to 15/16 of sqrt(1+16x)
\int\:_{0}^{\frac{15}{16}}\sqrt{1+16x}dx
integral from 1 to infinity of x^1
\int\:_{1}^{\infty\:}x^{1}dx
integral from 0 to pi/3 of (1+cos(x))^2
\int\:_{0}^{\frac{π}{3}}(1+\cos(x))^{2}dx
integral from 0 to 1 of u^2
\int\:_{0}^{1}u^{2}du
integral from 0 to 1 of x^{-1/4}
\int\:_{0}^{1}x^{-\frac{1}{4}}dx
integral from-1 to 9 of (27-3x)
\int\:_{-1}^{9}(27-3x)dx
integral from 0 to 1+i of z
\int\:_{0}^{1+i}zdz
integral from 0 to pi of sin(4x)sin(nx)
\int\:_{0}^{π}\sin(4x)\sin(nx)dx
integral from 0 to 1 of ln(1/x)
\int\:_{0}^{1}\ln(\frac{1}{x})dx
integral from 4 to 0 of sqrt(x)
\int\:_{4}^{0}\sqrt{x}dx
integral from 0 to 4 of sin(x)
\int\:_{0}^{4}\sin(x)dx
integral from 0 to 3 of (2x)
\int\:_{0}^{3}(2x)dx
integral from 0 to 2 of (1-x^2)
\int\:_{0}^{2}(1-x^{2})dx
integral from 1 to infinity of 8x^{-9}
\int\:_{1}^{\infty\:}8x^{-9}dx
integral from 1 to 2 of 1/(x^2-3x+2)
\int\:_{1}^{2}\frac{1}{x^{2}-3x+2}dx
integral from 0 to 1 of x^2-2x
\int\:_{0}^{1}x^{2}-2xdx
integral from 0 to 6 of (x^2-6x)
\int\:_{0}^{6}(x^{2}-6x)dx
integral from 1 to 4 of x^3e^x
\int\:_{1}^{4}x^{3}e^{x}dx
integral from 1 to infinity of (e^x)/(1+e^{2x)}
\int\:_{1}^{\infty\:}\frac{e^{x}}{1+e^{2x}}dx
integral from 5 to 13 of xsqrt(x^2-25)
\int\:_{5}^{13}x\sqrt{x^{2}-25}dx
integral from 1 to 4 of pi(x-1)
\int\:_{1}^{4}π(x-1)dx
integral from 2 to infinity of e^{2-x}
\int\:_{2}^{\infty\:}e^{2-x}dx
integral from-pi to pi of x*sin(nx)
\int\:_{-π}^{π}x\cdot\:\sin(nx)dx
integral from 0 to 1 of 8x^2
\int\:_{0}^{1}8x^{2}dx
integral from 1 to 2 of e^{3x}
\int\:_{1}^{2}e^{3x}dx
integral from 0 to 0.5 of 2/(x-4)
\int\:_{0}^{0.5}\frac{2}{x-4}dx
integral from 0 to pi of (xcos(x))^2
\int\:_{0}^{π}(x\cos(x))^{2}dx
integral from 0 to x^8 of cos(sqrt(t))
\int\:_{0}^{x^{8}}\cos(\sqrt{t})dt
integral from 2 to 6 of (2-x)(x-6)
\int\:_{2}^{6}(2-x)(x-6)dx
integral from 0 to 1 of (x^2-2x+1)
\int\:_{0}^{1}(x^{2}-2x+1)dx
integral from 0 to 7/6 of 1/(36x^2+49)
\int\:_{0}^{\frac{7}{6}}\frac{1}{36x^{2}+49}dx
integral from-3 to 3 of xsqrt(25-x^2)
\int\:_{-3}^{3}x\sqrt{25-x^{2}}dx
integral from 0 to pi/4 of 3cos(x)+1
\int\:_{0}^{\frac{π}{4}}3\cos(x)+1dx
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