Category: Integration

Question Number 112481 by bemath last updated on 08/Sep/20 $$\int \frac{\sin 2\mathrm{x}}{\sqrt{1+\cos {}^2\mathrm{x}}}\mathrm{dx}$$ Answered by john santu last updated on 08/Sep/20 $$\:\:\int\:\frac{\mathrm{2sin}\:{x}\:\mathrm{cos}\:{x}}{\:\sqrt{\mathrm{1}+\mathrm{cos}\:^{\mathrm{2}} {x}}}\:{dx}\:=\:\int−\:\frac{\mathrm{2}{u}\:{du}}{\:\sqrt{\mathrm{1}+{u}^{\mathrm{2}} }} \…

Question Number 112446 by mathmax by abdo last updated on 07/Sep/20 $$\mathrm{find}{\int }_0^1\frac{\ln (1+{\mathrm{x}}^2)}{1+\mathrm{x}}\mathrm{dx}$$ Answered by mathdave last updated on 08/Sep/20 $${solution}\:{to}\:…

Question Number 46898 by  last updated on 02/Nov/18 $$\int \frac{tanx}{{(tanx+1)}^2-2{tan}^{2}x}dx=??$$ Commented by prof Abdo imad last updated on 02/Nov/18 $${changement}\:{tanx}\:={t}\:{give} \…

Question Number 46854 by maxmathsup by imad last updated on 01/Nov/18 $$find={\int }_0^{\pi }\frac{sinx}{2+cos\left(2x\right)}dx$$ Commented by maxmathsup by imad last updated on 01/Nov/18…

Question Number 46853 by maxmathsup by imad last updated on 01/Nov/18 $$fnd\int \frac{dx}{1+cos\left(tx\right)}$$ Commented by maxmathsup by imad last updated on 01/Nov/18 $${let}\:{A}\left({t}\right)\:=\int\:\:\frac{{dx}}{\mathrm{1}+{cos}\left({tx}\right)}\:\Rightarrow{A}\left({t}\right)\:=_{{tx}={u}} \:\:\:\int\:\:\:\frac{\mathrm{1}}{\mathrm{1}+{cosu}}\:\frac{{du}}{{t}}…