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Popular Calculus Problems

integral of (1/2+cos(x))^2	\int\:(\frac{1}{2}+\cos(x))^{2}dx
integral of (8x^2+16x)(4x^3+12x^2)^{-3}	\int\:(8x^{2}+16x)(4x^{3}+12x^{2})^{-3}dx
integral of sin(2-4x)	\int\:\sin(2-4x)dx
integral of (-x+2)/(x^2+3)	\int\:\frac{-x+2}{x^{2}+3}dx
integral of+cos(2nt)	\int\:+\cos(2nt)dt
integral of (t+1)e^{-t}	\int\:(t+1)e^{-t}dt
integral of 9/(x^9)	\int\:\frac{9}{x^{9}}dx
integral of e^{(x^2)/2}*(-x^3)	\int\:e^{\frac{x^{2}}{2}}\cdot\:(-x^{3})dx
integral of \sqrt[3]{7^{5x}}	\int\:\sqrt[3]{7^{5x}}dx
integral of pi(1/x)^2	\int\:π(\frac{1}{x})^{2}dx
integral of ye^y-e^y	\int\:ye^{y}-e^{y}dy
integral of (2-e^x)/(6e^{4x)}	\int\:\frac{2-e^{x}}{6e^{4x}}dx
integral of sqrt(1+(2/3 x^{-1/3))^2}	\int\:\sqrt{1+(\frac{2}{3}x^{-\frac{1}{3}})^{2}}dx
integral of 5/(8y-7)	\int\:\frac{5}{8y-7}dy
integral of ((ln(x)+2))/x	\int\:\frac{(\ln(x)+2)}{x}dx
integral of x^3*arctan(x)	\int\:x^{3}\cdot\:\arctan(x)dx
integral of ((x^2)/3-3/(2x-3)-e^{3x})	\int\:(\frac{x^{2}}{3}-\frac{3}{2x-3}-e^{3x})dx
integral of x(5-2x)^{1/3}	\int\:x(5-2x)^{\frac{1}{3}}dx
integral of (x^2)/((a^2+x^2)^2)	\int\:\frac{x^{2}}{(a^{2}+x^{2})^{2}}dx
integral of (e^{2w})/(1-e^{2w)}	\int\:\frac{e^{2w}}{1-e^{2w}}dw
integral of (2x)/(sqrt(9x^2-6x-8))	integral\:\frac{2x}{\sqrt{9x^{2}-6x-8}}
integral of 2+cos^2(x)sin(x)	\int\:2+\cos^{2}(x)\sin(x)dx
integral of x/2 sin(x^2)	\int\:\frac{x}{2}\sin(x^{2})dx
integral of (x^3-x)/(x^2+4x+9)	\int\:\frac{x^{3}-x}{x^{2}+4x+9}dx
integral of 1/((x-sqrt(x)))	\int\:\frac{1}{(x-\sqrt{x})}dx
integral of (3-5x+7x^2)/(3x^3-19x^2-14x)	\int\:\frac{3-5x+7x^{2}}{3x^{3}-19x^{2}-14x}dx
integral of x/(sqrt(9x+1))	\int\:\frac{x}{\sqrt{9x+1}}dx
integral of 1/(y^2sqrt(y^2+9))	\int\:\frac{1}{y^{2}\sqrt{y^{2}+9}}dy
integral of x^2e^xln(x)	\int\:x^{2}e^{x}\ln(x)dx
integral of (2x-3)cos(x^2-3x)	\int\:(2x-3)\cos(x^{2}-3x)dx
integral of e^{-2bx}	\int\:e^{-2bx}dx
integral of+7z^3e^z	\int\:+7z^{3}e^{z}dz
integral of ln(x)(5x+3)	\int\:\ln(x)(5x+3)dx
integral of (x+2)/(x^3+x)	\int\:\frac{x+2}{x^{3}+x}dx
integral of (3\sqrt[3]{x^4}-3)	\int\:(3\sqrt[3]{x^{4}}-3)dx
integral of 4xcot(x^2)	\int\:4x\cot(x^{2})dx
integral of 2x+4/(x^2)	\int\:2x+\frac{4}{x^{2}}dx
integral of x^2(x^3+5)	\int\:x^{2}(x^{3}+5)dx
integral of 3/(sqrt(x)+2)	\int\:\frac{3}{\sqrt{x}+2}dx
integral of sin(22x)cos(13x)	\int\:\sin(22x)\cos(13x)dx
integral of (x^3)/(sqrt(x-2))	\int\:\frac{x^{3}}{\sqrt{x-2}}dx
integral of 1/(v^2+6v+18)	\int\:\frac{1}{v^{2}+6v+18}dv
integral of e/((1-2x)^4sqrt(4x^2-4x-4))	\int\:\frac{e}{(1-2x)^{4}\sqrt{4x^{2}-4x-4}}dx
integral of tan(x)-2cot(x)	\int\:\tan(x)-2\cot(x)dx
integral of+e^{-5x}sin(x)	\int\:+e^{-5x}\sin(x)dx
integral of (x^2+2x+3)ln(x)	\int\:(x^{2}+2x+3)\ln(x)dx
integral of 1/(e^{2t)+1}	\int\:\frac{1}{e^{2t}+1}dt
integral of 5x^4e^x	\int\:5x^{4}e^{x}dx
integral of cot^4(9x)	\int\:\cot^{4}(9x)dx
integral of e^-x^2	integral\:e^{-}x^{2}
integral of 1/((2x+1)^2+4)	\int\:\frac{1}{(2x+1)^{2}+4}dx
integral of ((x-1))/(sqrt(81-4x^2))	\int\:\frac{(x-1)}{\sqrt{81-4x^{2}}}dx
integral of 1/(1+9cos(x))	\int\:\frac{1}{1+9\cos(x)}dx
integral of (5x-2)/(x(-2))	\int\:\frac{5x-2}{x(-2)}dx
integral of (5x^2)/((x-3)^3)	\int\:\frac{5x^{2}}{(x-3)^{3}}dx
integral of-ae^{-ax}	\int\:-ae^{-ax}dx
integral of 1/((5-3x)^2)	\int\:\frac{1}{(5-3x)^{2}}dx
integral of (6x^2-11x+7)/(3x-1)	\int\:\frac{6x^{2}-11x+7}{3x-1}dx
integral of (1x-2)/(sqrt(x)+4)	\int\:\frac{1x-2}{\sqrt{x}+4}dx
integral of e^{-sin(x)}sin(x)cos(x)	\int\:e^{-\sin(x)}\sin(x)\cos(x)dx
integral of 2xtan^2(x^2)	\int\:2x\tan^{2}(x^{2})dx
integral of (e^x-x)^2	\int\:(e^{x}-x)^{2}dx
integral of 1/((x^2+a)^2)	\int\:\frac{1}{(x^{2}+a)^{2}}dx
integral of 9e^{3θ}sin(3θ)	\int\:9e^{3θ}\sin(3θ)dθ
integral of (x^2(3ln(x)-1))/((ln(x))^2)	\int\:\frac{x^{2}(3\ln(x)-1)}{(\ln(x))^{2}}dx
integral of θr	\int\:θrdr
integral of 5/(x^2sqrt(25+x^2))	\int\:\frac{5}{x^{2}\sqrt{25+x^{2}}}dx
integral of 3(x-1)	\int\:3(x-1)dx
integral of 2x-2x^5+7x^3	\int\:2x-2x^{5}+7x^{3}dx
integral of (ax)^n	\int\:(ax)^{n}dx
integral of (-x+2)^2	\int\:(-x+2)^{2}dx
integral of 2(x-1)^2	\int\:2(x-1)^{2}dx
integral of cos((2y)/x)	\int\:\cos(\frac{2y}{x})dx
integral of 3x^2-cos(x)+c	\int\:3x^{2}-\cos(x)+cdx
integral of (2x+3sqrt(x))/(4x^2)	\int\:\frac{2x+3\sqrt{x}}{4x^{2}}dx
integral of cos^6(y)sin^3(y)	\int\:\cos^{6}(y)\sin^{3}(y)dy
integral of (1/x)/(x^4)	\int\:\frac{\frac{1}{x}}{x^{4}}dx
integral of 1/(x^2(a^2-x^2)^{1/2)}	\int\:\frac{1}{x^{2}(a^{2}-x^{2})^{\frac{1}{2}}}dx
integral of e^{-x}sin(pix)	\int\:e^{-x}\sin(πx)dx
integral of (x-3)/(x^2+3x+3)	\int\:\frac{x-3}{x^{2}+3x+3}dx
integral of ((sqrt(x)-x)/(x^2))	\int\:(\frac{\sqrt{x}-x}{x^{2}})dx
integral of 10(y^4-y+1)	\int\:10(y^{4}-y+1)dy
integral of (2e^xtan^2(e^x))/(sin(e^x))	\int\:\frac{2e^{x}\tan^{2}(e^{x})}{\sin(e^{x})}dx
integral of e^{jwt}	\int\:e^{jwt}dt
integral of sqrt(2+4t^2)	\int\:\sqrt{2+4t^{2}}dt
integral of x^33^x	\int\:x^{3}3^{x}dx
integral of 5x^3+2x-6	\int\:5x^{3}+2x-6dx
integral of (x^4-a^4)/(x^2)	\int\:\frac{x^{4}-a^{4}}{x^{2}}dx
integral of (8x^3+13x)/(x^4+4x^2+4)	\int\:\frac{8x^{3}+13x}{x^{4}+4x^{2}+4}dx
integral of 9x^2	integral\:9x^{2}
integral of 3xarccos(x)	\int\:3x\arccos(x)dx
integral of pi^{3t}	\int\:π^{3t}dt
integral of 2/(x^2-4x+5)	\int\:\frac{2}{x^{2}-4x+5}dx
integral of 6u^6sqrt(u^7+8)	\int\:6u^{6}\sqrt{u^{7}+8}du
integral of ((3x-17))/((x^2-6x+10))	\int\:\frac{(3x-17)}{(x^{2}-6x+10)}dx
integral of tan(θ)ln(x)sec(θ)	\int\:\tan(θ)\ln(x)\sec(θ)dθ
integral of (6x)/(3-x)	\int\:\frac{6x}{3-x}dx
integral of sin^4(5x)*cos^2(5x)	\int\:\sin^{4}(5x)\cdot\:\cos^{2}(5x)dx
integral of picos(nt)	\int\:π\cos(nt)dt
integral of 1/(sqrt(x^2-1^2))	\int\:\frac{1}{\sqrt{x^{2}-1^{2}}}dx

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