Category: Integration

Question Number 9158 by geovane10math last updated on 21/Nov/16 $$\int x^{x}dx=?$$ Answered by FilupSmith last updated on 22/Nov/16 $$x^x=e^{x\ln \left(x\right)}$$$${e}^{{x}\mathrm{ln}\left({x}\right)} =\underset{{n}=\mathrm{0}}…

Question Number 140202 by qaz last updated on 05/May/21 $${\int }_0^{\mathrm{\infty }}{\left(\frac{lnx}{x-1}\right)}^{2}dx=\frac{2}{3}{\pi }^2$$ Answered by mathmax by abdo last updated on 05/May/21 $$\Phi\:=\int_{\mathrm{0}}…

Question Number 140194 by mnjuly1970 last updated on 05/May/21 $$$$$$pleaseintegrate::$$$$f\left(x\right)={\int }_0^1\left\{\frac{1}{z}log\left(\frac{z^2+2zcos\left(x\right)+1}{{(z+1)}^2}\right)\right\}dz$$$$$$ Answered by Dwaipayan…

Question Number 9108 by tawakalitu last updated on 18/Nov/16 $$\int {\mathrm{x}}^4\sqrt{{\mathrm{x}}^2-4}\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 74637 by mathmax by abdo last updated on 28/Nov/19 $$1)calculatef\left(x\right)={\int }_0^1{t}^2\sqrt{x^2+t^2}dtwithx>0$$$$\left.\mathrm{2}\right)\:{calculste}\:{g}\left({x}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{t}^{\mathrm{2}} }{\:\sqrt{{x}^{\mathrm{2}} +{t}^{\mathrm{2}} }}{dt} \…