Category: Integration

Question Number 62613 by necx1 last updated on 23/Jun/19 Commented by Prithwish sen last updated on 23/Jun/19 $$=\int\frac{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)\:\mathrm{dx}}{\mathrm{x}^{\mathrm{3}} \sqrt{\frac{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} −\mathrm{x}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} }}}…

Question Number 128109 by bemath last updated on 04/Jan/21 $$\mathrm{\varnothing }=\int (\mathrm{x}-2)\sqrt{\frac{\mathrm{x}+1}{\mathrm{x}-1}}\mathrm{dx}$$ Answered by liberty last updated on 04/Jan/21 $$\varphi =\int \frac{(\mathrm{x}-2)\sqrt{{\mathrm{x}}^2-1}}{\mathrm{x}-1}\mathrm{dx}$$$$\mathrm{let}\mathrm{x}=\sec \mathrm{t}$$$$\:\emptyset\:=\:\int\:\frac{\left(\mathrm{sec}\:\mathrm{t}−\mathrm{2}\right).\mathrm{tan}\:\mathrm{t}}{\mathrm{sec}\:\mathrm{t}−\mathrm{1}}.\:\left(\mathrm{sec}\:\mathrm{t}\:\mathrm{tan}\:\mathrm{t}\:\right)\:\mathrm{dt}\:…

Question Number 128079 by liberty last updated on 04/Jan/21 $$\mathrm{\Omega }=\int \ln (\mathrm{x}+\sqrt{{\mathrm{x}}^2+{\mathrm{a}}^2})\mathrm{dx}$$ Answered by bemath last updated on 04/Jan/21 $$\Omega=\mathrm{x}\:\mathrm{ln}\:\left(\mathrm{x}+\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{a}^{\mathrm{2}} }\:\right)−\int\:\frac{\mathrm{x}\left(\mathrm{1}+\frac{\mathrm{x}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{a}^{\mathrm{2}}…

Question Number 128057 by bramlexs22 last updated on 04/Jan/21 $${\int }_0^1{\int }_0^1\frac{1}{1-{\mathrm{xy}}^2}\mathrm{dx}\mathrm{dy}=?$$ Answered by liberty last updated on 04/Jan/21 $$\:\frac{\mathrm{1}}{\mathrm{1}−\mathrm{xy}^{\mathrm{2}}…

Question Number 128026 by Ar Brandon last updated on 03/Jan/21 $${\int }_{\frac{\pi }{2}}^{\frac{2\pi }{3}}\frac{{\left(\mathrm{arcsinhx}\right)}^2}{2\mathrm{cosx}}\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com