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Popular Problems

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Popular Calculus Problems

integral from 1/2 to 1/3 of cos(pix)	\int\:_{\frac{1}{2}}^{\frac{1}{3}}\cos(pix)dx
integral from-2 to 2 of x(x^2-8)	\int\:_{-2}^{2}x(x^{2}-8)dx
integral from-2 to 2 of 10x^9+25x^7	\int\:_{-2}^{2}10x^{9}+25x^{7}dx
integral from 0 to infinity of ce^{-ax}	\int\:_{0}^{\infty\:}ce^{-ax}dx
integral from 0 to pi/2 of 1/2 (sin(2θ))	\int\:_{0}^{\frac{π}{2}}\frac{1}{2}(\sin(2θ))dθ
integral from 2 to 3 of x^2+2x-3	\int\:_{2}^{3}x^{2}+2x-3dx
integral from 0 to infinity of cos(t)	\int\:_{0}^{\infty\:}\cos(t)dt
integral from-2 to 6 of \|4x-2\|	\int\:_{-2}^{6}\left\|4x-2\right\|dx
integral from 0 to x of (1-t)/(t^2+15)	\int\:_{0}^{x}\frac{1-t}{t^{2}+15}dt
integral from 0 to 1 of xe^{x^2-1}	\int\:_{0}^{1}xe^{x^{2}-1}dx
integral from 0 to pi of (sin(x)+cos(y))	\int\:_{0}^{π}(\sin(x)+\cos(y))dx
integral from 2 to 3 of (3x+1)	\int\:_{2}^{3}(3x+1)dx
integral from-5 to 0 of (1+sqrt(25-x^2))	\int\:_{-5}^{0}(1+\sqrt{25-x^{2}})dx
integral from 0 to 1 of 4t^2	\int\:_{0}^{1}4t^{2}dt
integral from 0 to 1 of y^2(1-y^2)	\int\:_{0}^{1}y^{2}(1-y^{2})dy
integral from 0 to 4 of \|3t-7\|	\int\:_{0}^{4}\left\|3t-7\right\|dt
integral from-1 to 1 of (x+2)^2	\int\:_{-1}^{1}(x+2)^{2}dx
integral from 0 to 0.2 of 5x	\int\:_{0}^{0.2}5xdx
integral from 0 to 1 of (a+bx^2)	\int\:_{0}^{1}(a+bx^{2})dx
integral from-5pi to pi of cos^2(x)	\int\:_{-5π}^{π}\cos^{2}(x)dx
integral from 1 to 2 of ln(x^2)x	\int\:_{1}^{2}\ln(x^{2})xdx
integral from 2 to 3 of (x^2)/(x^3-2)	\int\:_{2}^{3}\frac{x^{2}}{x^{3}-2}dx
integral from-5 to 3.5 of-2x^2-3x+35	\int\:_{-5}^{3.5}-2x^{2}-3x+35dx
integral from 0 to 3 of x/(1+7x^2)	\int\:_{0}^{3}\frac{x}{1+7x^{2}}dx
integral from 3 to 6 of ln(x)	\int\:_{3}^{6}\ln(x)dx
integral from 4 to 7 of 4x	\int\:_{4}^{7}4xdx
integral from-1 to 1 of-4x^5+3x-2	\int\:_{-1}^{1}-4x^{5}+3x-2dx
integral from 0 to 4 of 6xe^{3x^2}	\int\:_{0}^{4}6xe^{3x^{2}}dx
integral from 0 to 1 of xcos(ax)	\int\:_{0}^{1}x\cos(ax)dx
integral from 1 to 4 of 2x^2+sqrt(x)	\int\:_{1}^{4}2x^{2}+\sqrt{x}dx
integral from 2 to 0 of x^3-3x^2+2	\int\:_{2}^{0}x^{3}-3x^{2}+2dx
integral from 2 to 3 of 1/(x^4-x^2)	\int\:_{2}^{3}\frac{1}{x^{4}-x^{2}}dx
integral from 0 to ln(2) of e^{2x}(5-e)	\int\:_{0}^{\ln(2)}e^{2x}(5-e)dx
integral from-1 to 0 of e^{2x}	\int\:_{-1}^{0}e^{2x}dx
integral from-2 to x of 100-x^4	\int\:_{-2}^{x}100-x^{4}dx
integral from 1 to 6 of sin(4x+2.8)	\int\:_{1}^{6}\sin(4x+2.8)dx
integral from 3 to 4 of (3+2y)^2	\int\:_{3}^{4}(3+2y)^{2}dy
integral from 0 to b of (7x)/8	\int\:_{0}^{b}\frac{7x}{8}dx
integral from 1 to t of 1/((2x+1)^3)	\int\:_{1}^{t}\frac{1}{(2x+1)^{3}}dx
integral from 0 to 8 of (2x)/(x^2+1)	\int\:_{0}^{8}\frac{2x}{x^{2}+1}dx
integral from 0 to 3 of sqrt(4r^2+1)r	\int\:_{0}^{3}\sqrt{4r^{2}+1}rdr
integral from 0 to x of 3/8 x^2	\int\:_{0}^{x}\frac{3}{8}x^{2}dx
integral from 0 to 2pi of 2cos(t)sin(t)	\int\:_{0}^{2π}2\cos(t)\sin(t)dt
integral from 0 to 2 of r^2sin(θ)	\int\:_{0}^{2}r^{2}\sin(θ)dr
integral from 3 to 4 of x^{pi-1}	\int\:_{3}^{4}x^{π-1}dx
integral from 0 to pi/(12) of cos(6t)	\int\:_{0}^{\frac{π}{12}}\cos(6t)dt
integral from 1 to 2 of e^x+1/x	\int\:_{1}^{2}e^{x}+\frac{1}{x}dx
integral from 0 to 1 of e^{2x-1}	\int\:_{0}^{1}e^{2x-1}dx
integral from 0 to u of 1/x	\int\:_{0}^{u}\frac{1}{x}dx
integral from-4 to 4 of-5	\int\:_{-4}^{4}-5dx
integral from 2 to 4 of 4x^2-5x+8	\int\:_{2}^{4}4x^{2}-5x+8dx
integral from 0 to 3 of (xe^x)/((x+1)^2)	\int\:_{0}^{3}\frac{xe^{x}}{(x+1)^{2}}dx
integral from-2 to 2 of (4-y^2)-(y^2-4)	\int\:_{-2}^{2}(4-y^{2})-(y^{2}-4)dy
integral from 0 to infinity of ye^{-yx}	\int\:_{0}^{\infty\:}ye^{-yx}dx
integral from 0 to 16 of 10sqrt(x)	\int\:_{0}^{16}10\sqrt{x}dx
integral from 1 to 2 of x-2	\int\:_{1}^{2}x-2dx
integral from x to x^2 of sqrt(ln(t))	\int\:_{x}^{x^{2}}\sqrt{\ln(t)}dt
integral from 14 to 14 of (x)	\int\:_{14}^{14}(x)dx
integral from 0 to 1 of x^3+x^2	\int\:_{0}^{1}x^{3}+x^{2}dx
integral from 1 to x^2 of e^tln(t)	\int\:_{1}^{x^{2}}e^{t}\ln(t)dt
integral from 3 to 12 of log_{10}(x-2)	\int\:_{3}^{12}\log_{10}(x-2)dx
integral from 1 to 3 of (3x-9)	\int\:_{1}^{3}(3x-9)dx
integral from 4 to 9 of 3/(x-2)	\int\:_{4}^{9}\frac{3}{x-2}dx
integral from 0 to 2 of (x^3-5x^2+6x)	\int\:_{0}^{2}(x^{3}-5x^{2}+6x)dx
integral from-pi to pi of 1+x	\int\:_{-π}^{π}1+xdx
integral from 4 to 0 of 4x-x^2	\int\:_{4}^{0}4x-x^{2}dx
integral from 0 to 1 of te^{-2/2}	\int\:_{0}^{1}te^{-\frac{2}{2}}dt
integral from-1 to 3 of (2x+1)-(x^2-2)	\int\:_{-1}^{3}(2x+1)-(x^{2}-2)dx
integral from-1 to 512 of x^{-1/3}	\int\:_{-1}^{512}x^{-\frac{1}{3}}dx
integral from-1/2 to 1/2 of 1	\int\:_{-\frac{1}{2}}^{\frac{1}{2}}1dx
integral from 2 to 6 of 8/x	\int\:_{2}^{6}\frac{8}{x}dx
integral from-1 to 4 of x^4	\int\:_{-1}^{4}x^{4}dx
integral from 0 to 2 of sqrt(4-t^2)	\int\:_{0}^{2}\sqrt{4-t^{2}}dt
integral from 0 to 1 of x^2+3x	\int\:_{0}^{1}x^{2}+3xdx
integral from 1 to 2 of 4x^5	\int\:_{1}^{2}4x^{5}dx
integral from-1 to 1 of xsqrt(x^2+4)	\int\:_{-1}^{1}x\sqrt{x^{2}+4}dx
integral from-1 to 2 of x(1-x^2)	\int\:_{-1}^{2}x(1-x^{2})dx
integral from 0 to pi/3 of sin(3y)cos(y)	\int\:_{0}^{\frac{π}{3}}\sin(3y)\cos(y)dy
integral from-1 to 3 of (-x+2)	\int\:_{-1}^{3}(-x+2)dx
integral from 1 to 5 of 3+4x^{-4}	\int\:_{1}^{5}3+4x^{-4}dx
integral from 1 to infinity of 1/y	\int\:_{1}^{\infty\:}\frac{1}{y}dy
integral from 0 to 4 of ((5x-x^2)-x)	\int\:_{0}^{4}((5x-x^{2})-x)dx
integral from 0 to x of sqrt(t^3+t^5)	\int\:_{0}^{x}\sqrt{t^{3}+t^{5}}dx
integral from-2 to 2 of sqrt((4-x^2))	\int\:_{-2}^{2}\sqrt{(4-x^{2})}dx
integral from 0 to 8 of x^e+e^x	\int\:_{0}^{8}x^{e}+e^{x}dx
integral from-1 to 1 of (3x^2-2x+4)	\int\:_{-1}^{1}(3x^{2}-2x+4)dx
integral from 0 to 2 of 4x^4	\int\:_{0}^{2}4x^{4}dx
integral from 0 to 3 of (x-2)(2x+1)	\int\:_{0}^{3}(x-2)(2x+1)dx
integral from 1 to 3 of 3x^2-10x+5	\int\:_{1}^{3}3x^{2}-10x+5dx
integral from 0 to 2 of 2sqrt(2x)	\int\:_{0}^{2}2\sqrt{2x}dx
integral from 7 to 10 of x/7-7/x	\int\:_{7}^{10}\frac{x}{7}-\frac{7}{x}dx
integral from 0 to 2 of-x^2+4x	\int\:_{0}^{2}-x^{2}+4xdx
integral from 1 to 2 of r^7sin(2r^4)	\int\:_{1}^{2}r^{7}\sin(2r^{4})dr
integral from 0 to 12 of x^3	\int\:_{0}^{12}x^{3}dx
integral from 1 to 5 of \|t^2-2t-8\|	\int\:_{1}^{5}\left\|t^{2}-2t-8\right\|dt
integral from 0 to 1 of ((x^2))/(x^2+1)	\int\:_{0}^{1}\frac{(x^{2})}{x^{2}+1}dx
integral from-3 to 1 of e^{x+3}	\int\:_{-3}^{1}e^{x+3}dx
integral from 0 to-1 of xe^{-x}	\int\:_{0}^{-1}xe^{-x}dx
integral from 0 to pi/2 of cos^3(2x)	\int\:_{0}^{\frac{π}{2}}\cos^{3}(2x)dx
integral from 2pi to-4pi of sin(x)	\int\:_{2π}^{-4π}\sin(x)dx

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