Category: Integration

Question Number 162604 by amin96 last updated on 30/Dec/21 $$I={\int }_0^{\frac{\pi }{4}}\mathit{x}\mathit{t}\mathit{g}\left(\mathit{x}\right)\mathit{d}\mathit{x}=?$$ Answered by Ar Brandon last updated on 30/Dec/21 $${I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {x}\mathrm{tan}{xdx}…

Question Number 97057 by bemath last updated on 06/Jun/20 $$\underset{0}{\stackrel{1}{\int }}\frac{dx}{\sqrt{-\ln \left(x\right)}}?\left[byG\mathrm{amma}\mathrm{function}\right]$$ Answered by Sourav mridha last updated on 06/Jun/20 $$\mathit{l}\mathit{e}\mathit{t}\mathit{l}\mathit{n}\left(\mathit{x}\right)=-\mathit{k}..$$$$=\int_{\mathrm{0}}…

Question Number 31516 by abdo imad last updated on 09/Mar/18 $$find\int \frac{dx}{x+\sqrt{1+x^2}}.$$ Commented by abdo imad last updated on 16/Mar/18 $${I}\:=\:\int\:\left(\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\:−{x}\right){dx}=\:\int\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} \:}\:{dx}\:−\frac{{x}^{\mathrm{2}}…

Question Number 31514 by abdo imad last updated on 09/Mar/18 $$find{\int }_0^1\frac{arctan\left(2x\right)}{{(1+x)}^2}dx.$$ Answered by sma3l2996 last updated on 10/Mar/18 $${by}\:{parts}\: \…

Question Number 31513 by abdo imad last updated on 09/Mar/18 $$find{\int }_0^{2\pi }\frac{dx}{2+cosx}.$$ Commented by abdo imad last updated on 10/Mar/18 $${the}\:{ch}.\:{e}^{{ix}} ={z}\:{give}…