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Popular Problems

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Popular Calculus Problems

integral from 1 to 8 of (4(ln(x))^3)/x	\int\:_{1}^{8}\frac{4(\ln(x))^{3}}{x}dx
integral from pi/4 to pi/2 of cos(2x)	\int\:_{\frac{π}{4}}^{\frac{π}{2}}\cos(2x)dx
integral from 0 to t of f(u)	\int\:_{0}^{t}f(u)du
integral from 1 to 2y of (y/x)	\int\:_{1}^{2y}(\frac{y}{x})dx
integral from 4 to 5 of x^2+x-9	\int\:_{4}^{5}x^{2}+x-9dx
integral from 2 to 5 of 6	\int\:_{2}^{5}6dx
integral from-1 to 1 of 1+\|x\|	\int\:_{-1}^{1}1+\left\|x\right\|dx
integral from 0 to 2 of xsqrt(x^2+5)	\int\:_{0}^{2}x\sqrt{x^{2}+5}dx
integral from 1/2 to 3 of (x^2-1)/(x^2)	\int\:_{\frac{1}{2}}^{3}\frac{x^{2}-1}{x^{2}}dx
integral from-9 to 9 of (81-x^2)	\int\:_{-9}^{9}(81-x^{2})dx
integral from 0 to 1 of arctan(y)	\int\:_{0}^{1}\arctan(y)dy
integral from 0 to 1 of 8x(x^2+1)^3	\int\:_{0}^{1}8x(x^{2}+1)^{3}dx
integral from 2 to 7 of xsqrt(x+2)	\int\:_{2}^{7}x\sqrt{x+2}dx
integral from 0 to 3 of sqrt(x^2+1)	\int\:_{0}^{3}\sqrt{x^{2}+1}dx
integral from 0 to 1 of 1/(x+2)	\int\:_{0}^{1}\frac{1}{x+2}dx
integral from 1 to 3 of (x+3)^3	\int\:_{1}^{3}(x+3)^{3}dx
integral from-3 to 0 of x+3+sqrt(9-x^2)	\int\:_{-3}^{0}x+3+\sqrt{9-x^{2}}dx
integral from 2 to-1 of (2x+1)^2	\int\:_{2}^{-1}(2x+1)^{2}dx
integral from 0 to pi/2 of (cos(2x))	\int\:_{0}^{\frac{π}{2}}(\cos(2x))dx
integral from 1 to 2 of tsqrt(9+16t^2)	\int\:_{1}^{2}t\sqrt{9+16t^{2}}dt
integral from-2 to x of (4t^2-3t)	\int\:_{-2}^{x}(4t^{2}-3t)dt
integral from 0 to 1 of 1/(x^3+x^2+2x+2)	\int\:_{0}^{1}\frac{1}{x^{3}+x^{2}+2x+2}dx
integral from 0 to pi/2 of 2pixcos(x)	\int\:_{0}^{\frac{π}{2}}2πx\cos(x)dx
integral from 3 to 6 of x^2-3x	\int\:_{3}^{6}x^{2}-3xdx
integral from 0 to 3 of sqrt(6x-x^2)	\int\:_{0}^{3}\sqrt{6x-x^{2}}dx
integral from-pi/2 to pi/2 of cos(x)-1	\int\:_{-\frac{π}{2}}^{\frac{π}{2}}\cos(x)-1dx
integral from 0 to 2pi of 1/2	\int\:_{0}^{2π}\frac{1}{2}
integral from-pi/2 to pi/2 of cos(x)-4	\int\:_{-\frac{π}{2}}^{\frac{π}{2}}\cos(x)-4dx
integral from 1 to 2 of (5-2x)	\int\:_{1}^{2}(5-2x)dx
integral from-2 to 2 of (1-x^2)	\int\:_{-2}^{2}(1-x^{2})dx
integral from 0 to ln(6) of xe^x	\int\:_{0}^{\ln(6)}xe^{x}dx
integral from 2 to 3 of x-2	\int\:_{2}^{3}x-2dx
integral from 1 to 2 of sqrt(1+x^{-2)}	\int\:_{1}^{2}\sqrt{1+x^{-2}}dx
integral from 1 to infinity of (x^2+x+1)	\int\:_{1}^{\infty\:}(x^{2}+x+1)dx
integral from 0 to 1 of x/((x^2+3)^3)	\int\:_{0}^{1}\frac{x}{(x^{2}+3)^{3}}dx
integral from 0 to sin(2x) of arcsin(t)	\int\:_{0}^{\sin(2x)}\arcsin(t)dt
integral from 2 to 3 of x^2+x+1	\int\:_{2}^{3}x^{2}+x+1dx
integral from x to infinity of e^{-x}	\int\:_{x}^{\infty\:}e^{-x}dx
integral from 1 to 3 of x^2-6x+5	\int\:_{1}^{3}x^{2}-6x+5dx
integral from 0 to 4 of 1/(4x^2+9)	\int\:_{0}^{4}\frac{1}{4x^{2}+9}dx
integral from 2 to 3 of x^2+x-2	\int\:_{2}^{3}x^{2}+x-2dx
integral from 0 to 10 of x^2cos(4x)	\int\:_{0}^{10}x^{2}\cos(4x)dx
integral from-2 to 2 of 4^{x/2}	\int\:_{-2}^{2}4^{\frac{x}{2}}dx
integral from x to 5 of sqrt(1+t^2)	\int\:_{x}^{5}\sqrt{1+t^{2}}dt
integral from x to x^4 of t^4	\int\:_{x}^{x^{4}}t^{4}dt
integral from 0 to 1 of x^{19}+19^x	\int\:_{0}^{1}x^{19}+19^{x}dx
integral from 0 to 1 of kx(1-x)	\int\:_{0}^{1}kx(1-x)dx
integral from 0 to 1 of (x+7sqrt(1-x^2))	\int\:_{0}^{1}(x+7\sqrt{1-x^{2}})dx
integral from 0 to 60 of 3-3e^{-0.15x}	\int\:_{0}^{60}3-3e^{-0.15x}dx
integral from 50 to 100 of x/(23+9x^2)	\int\:_{50}^{100}\frac{x}{23+9x^{2}}dx
integral from-4 to 7 of \|x\|	\int\:_{-4}^{7}\left\|x\right\|dx
integral from-3 to 2 of (x^3-1)/(x-1)	\int\:_{-3}^{2}\frac{x^{3}-1}{x-1}dx
integral from 1 to 16 of sqrt(3/x)	\int\:_{1}^{16}\sqrt{\frac{3}{x}}dx
integral from-2 to 1 of xarctan^2(x)	\int\:_{-2}^{1}x\arctan^{2}(x)dx
integral from 1 to 2 of 1/(x(ln(x))^2)	\int\:_{1}^{2}\frac{1}{x(\ln(x))^{2}}dx
integral from 0 to pi/4 of sqrt(tan(x))	\int\:_{0}^{\frac{π}{4}}\sqrt{\tan(x)}dx
integral from 0 to 5 of x/(3x^2+6)	\int\:_{0}^{5}\frac{x}{3x^{2}+6}dx
integral from 0 to pi/3 of (sin(x))	\int\:_{0}^{\frac{π}{3}}(\sin(x))dx
integral from 0 to 1 of sin(y^2)	\int\:_{0}^{1}\sin(y^{2})dy
integral from 0 to pi of 2xcos(nx)	\int\:_{0}^{π}2x\cos(nx)dx
integral from 0 to 9 of 2sqrt(x)	\int\:_{0}^{9}2\sqrt{x}dx
integral from 0 to 4 of (6x^3-3x)	\int\:_{0}^{4}(6x^{3}-3x)dx
integral from 1 to 2 of 5^{4x}	\int\:_{1}^{2}5^{4x}dx
integral from 5 to 9 of 1/(x-4)	\int\:_{5}^{9}\frac{1}{x-4}dx
integral from 0 to y of cos(x/y)	\int\:_{0}^{y}\cos(\frac{x}{y})dz
integral from 0 to 1 of 1/(1+x^3)	\int\:_{0}^{1}\frac{1}{1+x^{3}}dx
integral from 0 to 1 of (x^2)/3	\int\:_{0}^{1}\frac{x^{2}}{3}dx
integral from 2y to 2 of 1	\int\:_{2y}^{2}1dx
integral from-2 to 4 of 1/x	\int\:_{-2}^{4}\frac{1}{x}dx
integral from 4.2 to 9.9 of (12x^2-6x+4)	\int\:_{4.2}^{9.9}(12x^{2}-6x+4)dx
integral from 0 to 4 of 1/2 x	\int\:_{0}^{4}\frac{1}{2}xdx
integral from 1 to-1 of x^2-1	\int\:_{1}^{-1}x^{2}-1dx
integral from 0 to 1 of x/(sqrt(1-x))	\int\:_{0}^{1}\frac{x}{\sqrt{1-x}}dx
integral from-1 to 2 of x/((x^2+1)^2)	\int\:_{-1}^{2}\frac{x}{(x^{2}+1)^{2}}dx
integral from 0 to pi of (9e^x+8sin(x))	\int\:_{0}^{π}(9e^{x}+8\sin(x))dx
integral from 0 to 5 of xsqrt(4+x)	\int\:_{0}^{5}x\sqrt{4+x}dx
integral from 0 to 1 of e^u	\int\:_{0}^{1}e^{u}du
integral from-infinity to-5 of 1/(x^4)	\int\:_{-\infty\:}^{-5}\frac{1}{x^{4}}dx
integral from 1 to 3 of (kx^2-2)	\int\:_{1}^{3}(kx^{2}-2)dx
integral from 1 to 2 of (x^3-1)	\int\:_{1}^{2}(x^{3}-1)dx
integral from-2 to 1 of (1/3 t-2)^2	\int\:_{-2}^{1}(\frac{1}{3}t-2)^{2}dt
integral from 0 to 1 of e^2	\int\:_{0}^{1}e^{2}dx
integral from 0 to 1000 of 0.03x+0.1	\int\:_{0}^{1000}0.03x+0.1dx
integral from 1 to 2 of 1/(x^2+2x)	\int\:_{1}^{2}\frac{1}{x^{2}+2x}dx
integral from 1 to 2 of 1/((2x-3)^3)	\int\:_{1}^{2}\frac{1}{(2x-3)^{3}}dx
integral from 0 to 1 of 6pix	\int\:_{0}^{1}6πxdx
integral from 0 to infinity of e^{-3t}	\int\:_{0}^{\infty\:}e^{-3t}dt
integral from 0 to 2 of 1/(ln(x))	\int\:_{0}^{2}\frac{1}{\ln(x)}dx
integral from 0 to ln(3) of 6e^{3x}	\int\:_{0}^{\ln(3)}6e^{3x}dx
integral from e to e^2 of xln(x)	\int\:_{e}^{e^{2}}x\ln(x)dx
integral from 0 to 1 of-2x+2	\int\:_{0}^{1}-2x+2dx
integral from-1 to 0 of x^2(4x^3+5)^3	\int\:_{-1}^{0}x^{2}(4x^{3}+5)^{3}dx
integral from 1 to 3 of 2x-1	\int\:_{1}^{3}2x-1dx
integral from 1 to 2 of (x+2)	\int\:_{1}^{2}(x+2)dx
integral from 0 to 3 of \|3x-8\|	\int\:_{0}^{3}\left\|3x-8\right\|dx
integral from 2x to x^2 of cos(t)sin(t)	\int\:_{2x}^{x^{2}}\cos(t)\sin(t)dt
integral from 0 to 1-x of ((1-x-y)^2)/2	\int\:_{0}^{1-x}\frac{(1-x-y)^{2}}{2}dy
integral from 0 to 2 of x^2+x+1	\int\:_{0}^{2}x^{2}+x+1dx
integral from 2 to 3 of 1/(xln(x))	\int\:_{2}^{3}\frac{1}{x\ln(x)}dx
integral from 0 to 1 of 3x(x^2+1)^3	\int\:_{0}^{1}3x(x^{2}+1)^{3}dx

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