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Popular Calculus Problems

integral from-2 to 2 of 5x^2	\int\:_{-2}^{2}5x^{2}dx
integral from 0 to 2pi of cos^5(x)sin(x)	\int\:_{0}^{2π}\cos^{5}(x)\sin(x)dx
integral from 0 to 1 of x^2(ln(1/x))^3	\int\:_{0}^{1}x^{2}(\ln(\frac{1}{x}))^{3}dx
integral from 0 to 2 of sqrt(4-x)	\int\:_{0}^{2}\sqrt{4-x}dx
integral from 0 to 2 of-gcos(npi*g)	\int\:_{0}^{2}-g\cdot\:\cos(n\cdot\:π\cdot\:g)dg
integral from-1 to 2 of y^2+4	\int\:_{-1}^{2}y^{2}+4dy
integral from 0 to 2 of 20x	\int\:_{0}^{2}20xdx
integral from 0 to x^2 of x^2e^{x^2}	\int\:_{0}^{x^{2}}x^{2}e^{x^{2}}dx
integral from-1 to 5 of-x^2+4x+5-x+1	\int\:_{-1}^{5}-x^{2}+4x+5-x+1dx
integral from 0 to pi/3 of (1-2sin(x))^2	\int\:_{0}^{\frac{π}{3}}(1-2\sin(x))^{2}dx
integral from 0 to 3 of sqrt(1+(8x)^2)	\int\:_{0}^{3}\sqrt{1+(8x)^{2}}dx
integral from 1 to 2 of x(2-x)(x-1)	\int\:_{1}^{2}x(2-x)(x-1)dx
integral from 3 to 5 of 5/((x-4)^2)	\int\:_{3}^{5}\frac{5}{(x-4)^{2}}dx
integral from 1 to 3 of xe^{3x}	\int\:_{1}^{3}xe^{3x}dx
integral from-8 to 2 of 1/(x+6)	\int\:_{-8}^{2}\frac{1}{x+6}dx
integral from-3 to 8 of (-14+6x)	\int\:_{-3}^{8}(-14+6x)dx
integral from-1 to 1 of y*sqrt(1-y^2)	\int\:_{-1}^{1}y\cdot\:\sqrt{1-y^{2}}dy
integral from 5 to 10 of 2/5-1/25 y	\int\:_{5}^{10}\frac{2}{5}-\frac{1}{25}ydy
integral from 0 to 1 of 5/2 y^{3/2}	\int\:_{0}^{1}\frac{5}{2}y^{\frac{3}{2}}dy
integral from 5 to 10 of 2/5-1/25 x	\int\:_{5}^{10}\frac{2}{5}-\frac{1}{25}xdx
integral from 1 to pi of cos(3t)+8t	\int\:_{1}^{π}\cos(3t)+8tdt
integral from-1 to 2 of x^2+2x-x^3	\int\:_{-1}^{2}x^{2}+2x-x^{3}dx
integral from-3 to 3 of 3^x	\int\:_{-3}^{3}3^{x}dx
integral from 1 to 3 of 21t^2	\int\:_{1}^{3}21t^{2}dt
integral from 12 to 5 of (12-6x)	\int\:_{12}^{5}(12-6x)dx
integral from-1 to 1 of sqrt(-u^2+1)	\int\:_{-1}^{1}\sqrt{-u^{2}+1}du
integral from 0 to 1 of 1/(x^a)	\int\:_{0}^{1}\frac{1}{x^{a}}dx
integral from 1 to t of 1/(x^2+4)	\int\:_{1}^{t}\frac{1}{x^{2}+4}dx
integral from-6 to-2 of 1	\int\:_{-6}^{-2}1dx
integral from pi/2 to pi of cos^2(θ)	\int\:_{\frac{π}{2}}^{π}\cos^{2}(θ)dθ
integral from 0 to 2 of 6e^{-2t}	\int\:_{0}^{2}6e^{-2t}dt
integral from 0 to 1 of x^3-x^4	\int\:_{0}^{1}x^{3}-x^{4}dx
integral from 10 to x of (10)/(x^2)	\int\:_{10}^{x}\frac{10}{x^{2}}dx
integral from-1 to 1 of (x^5)/(x^2+25)	\int\:_{-1}^{1}\frac{x^{5}}{x^{2}+25}dx
integral from pi/2 to (3pi)/4 of 1	\int\:_{\frac{π}{2}}^{\frac{3π}{4}}1
integral from 0 to y of ce^{-2y}	\int\:_{0}^{y}ce^{-2y}dx
integral from 0 to 1 of (x-x^2)(e^x)	\int\:_{0}^{1}(x-x^{2})(e^{x})dx
integral from-1 to 2 of (x^2-5x)	\int\:_{-1}^{2}(x^{2}-5x)dx
integral from 0 to 1 of pi(-ln(x))^2	\int\:_{0}^{1}π(-\ln(x))^{2}dx
integral from 9 to 10 of-f(u)	\int\:_{9}^{10}-f(u)du
integral from 1 to 0 of 1/(x^2)	\int\:_{1}^{0}\frac{1}{x^{2}}dx
integral from 0 to-infinity of e^x	\int\:_{0}^{-\infty\:}e^{x}dx
integral from 1 to 3 of (4x-1)	\int\:_{1}^{3}(4x-1)dx
integral from 0 to infinity of y^5e^{-y}	\int\:_{0}^{\infty\:}y^{5}e^{-y}dy
integral from 0 to pi^2 of cos(x)	\int\:_{0}^{π^{2}}\cos(x)dx
integral from-1 to 1 of 2xsin(npix)	\int\:_{-1}^{1}2x\sin(nπx)dx
integral from 30 to 200 of sqrt(50x-30)	\int\:_{30}^{200}\sqrt{50x-30}dx
integral from 0 to 1 of e^{-st}(te^t)	\int\:_{0}^{1}e^{-st}(te^{t})dt
integral from 0 to 1 of pix^3	\int\:_{0}^{1}πx^{3}dx
integral from 0 to 1 of (x/(e^{2x)})	\int\:_{0}^{1}(\frac{x}{e^{2x}})dx
integral from 3 to 7 of (3+x)	\int\:_{3}^{7}(3+x)dx
integral from 2 to 4 of x/(x+2)	\int\:_{2}^{4}\frac{x}{x+2}dx
integral from 0 to 1-cos(θ) of 2r^2	\int\:_{0}^{1-\cos(θ)}2r^{2}dr
integral from 1 to 3 of 15xsqrt(x+3)	\int\:_{1}^{3}15x\sqrt{x+3}dx
integral from 0 to (5pi)/6 of x^3sin(2x)	\int\:_{0}^{\frac{5π}{6}}x^{3}\sin(2x)dx
integral from 0 to 1 of (25-4x)	\int\:_{0}^{1}(25-4x)dx
integral from 0 to pi of sin(x-kx)	\int\:_{0}^{π}\sin(x-kx)dx
integral from 0 to 1 of pi\|x^4-x\|	\int\:_{0}^{1}π\left\|x^{4}-x\right\|dx
integral from 0 to 1 of (11ln(x))	\int\:_{0}^{1}(11\ln(x))dx
integral from 0 to pi/4 of x^3sin(2x)	\int\:_{0}^{\frac{π}{4}}x^{3}\sin(2x)dx
integral from 0 to 1 of 4x(1-x^2)	\int\:_{0}^{1}4x(1-x^{2})dx
integral from 0 to 7 of te^t	\int\:_{0}^{7}te^{t}dt
integral from 1 to sin(x) of cos(x)	\int\:_{1}^{\sin(x)}\cos(x)dx
integral from 0 to x of-sin(pi*x)	\int\:_{0}^{x}-\sin(π\cdot\:x)dx
integral from 0 to 1 of-2sin^2(2-2t)	\int\:_{0}^{1}-2\sin^{2}(2-2t)dt
integral from-1 to 3 of 1/2 x^2-2x-3	\int\:_{-1}^{3}\frac{1}{2}x^{2}-2x-3dx
integral from 0 to 1 of xye^{y^2x}	\int\:_{0}^{1}xye^{y^{2}x}dy
integral from 0 to 0.5 of Cx	\int\:_{0}^{0.5}Cxdx
integral from 0 to 7 of xsqrt(x+2)	\int\:_{0}^{7}x\sqrt{x+2}dx
integral from 0 to 5 of (75-3x^2)	\int\:_{0}^{5}(75-3x^{2})dx
integral from 0 to 1 of (x^2tan(x^3))/4	\int\:_{0}^{1}\frac{x^{2}\tan(x^{3})}{4}dx
integral from 0 to 1.5 of 2e^{-2x}	\int\:_{0}^{1.5}2e^{-2x}dx
integral from 0 to 5 of (3-2x+x^2)	\int\:_{0}^{5}(3-2x+x^{2})dx
integral from-1 to 3 of \|3x-4\|	\int\:_{-1}^{3}\left\|3x-4\right\|dx
integral from 0 to 7 of t*e^{-2t}	\int\:_{0}^{7}t\cdot\:e^{-2t}dt
integral from 2 to infinity of In(2x-3)	\int\:_{2}^{\infty\:}In(2x-3)dx
integral from 0 to 5 of 1/((x-1)^3)	\int\:_{0}^{5}\frac{1}{(x-1)^{3}}dx
integral from-1 to 2 of w^2e^{4w}	\int\:_{-1}^{2}w^{2}e^{4w}dw
integral from 3 to 6 of 1/((3x-12)^3)	\int\:_{3}^{6}\frac{1}{(3x-12)^{3}}dx
integral from x^2+2 to 3x of 1	\int\:_{x^{2}+2}^{3x}1dy
integral from-2 to 2 of 1/(-2(1+x))	\int\:_{-2}^{2}\frac{1}{-2(1+x)}dx
integral from 0 to 1 of (2-x-2/(x+1))	\int\:_{0}^{1}(2-x-\frac{2}{x+1})dx
integral from 0 to 4 of x^3-x^2+1	\int\:_{0}^{4}x^{3}-x^{2}+1dx
integral from 1 to 4 of-x^2+8x	\int\:_{1}^{4}-x^{2}+8xdx
integral from 0 to pi of 2e^xsin(x)	\int\:_{0}^{π}2e^{x}\sin(x)dx
integral from e^3 to e^5 of 1/(xln(x))	\int\:_{e^{3}}^{e^{5}}\frac{1}{x\ln(x)}dx
integral from 0 to x of 2x+1	\int\:_{0}^{x}2x+1dx
integral from pi/6 to pi/4 of ln(sin(x))	\int\:_{\frac{π}{6}}^{\frac{π}{4}}\ln(\sin(x))dx
integral from-1 to 1 of x\|2x-1\|	\int\:_{-1}^{1}x\left\|2x-1\right\|dx
integral from 0 to 1 of (x+1)e^{2x}	\int\:_{0}^{1}(x+1)e^{2x}dx
integral from 2 to 4 of x^3+4x^2	\int\:_{2}^{4}x^{3}+4x^{2}dx
integral from 0 to 1 of (x^4y+y^2)	\int\:_{0}^{1}(x^{4}y+y^{2})dy
integral from 0 to 5 of 1/(x^{0.4)}	\int\:_{0}^{5}\frac{1}{x^{0.4}}dx
integral from-0.25 to 0.25 of (cos(x))^2	\int\:_{-0.25}^{0.25}(\cos(x))^{2}dx
integral from 0 to pi/4 of (x+sin(x))	\int\:_{0}^{\frac{π}{4}}(x+\sin(x))dx
integral from-9 to-2 of 1/x	\int\:_{-9}^{-2}\frac{1}{x}dx
integral from 0 to 1 of (e^x-x^2)	\int\:_{0}^{1}(e^{x}-x^{2})dx
integral from x+2 to 4-x^2 of 1	\int\:_{x+2}^{4-x^{2}}1dy
integral from 0 to 2 of (3t^3+5t)	\int\:_{0}^{2}(3t^{3}+5t)dt
integral from 0 to t of i(t)	\int\:_{0}^{t}i(t)dt

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