Category: Integration

Question Number 9467 by tawakalitu last updated on 09/Dec/16 $$\int {\mathrm{x}}^2\left(\sqrt{1-{\mathrm{x}}^2}\right)\mathrm{dx}$$ Answered by mrW last updated on 09/Dec/16 $$\mathrm{x}=\sin \mathrm{t}$$$$\mathrm{dx}=\mathrm{cos}\:\mathrm{t}\:\mathrm{dt} \…

Question Number 74995 by vishalbhardwaj last updated on 05/Dec/19 $$\mathrm{find}{\int }_0^{\frac{\pi }{2}}\mathrm{Log}\cos xdx$$ Commented by mathmax by abdo last updated on 06/Dec/19 $${let}\:{I}\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…

Question Number 140490 by benjo_mathlover last updated on 08/May/21 Commented by john_santu last updated on 08/May/21 $$\frac{\pi }{2}(\sqrt{2\sqrt{2}+2}-2)\approx 0.31$$ Answered by MJS_new last updated on…

Question Number 9381 by tawakalitu last updated on 03/Dec/16 $${\int }_0^{\frac{\pi }{2}}\ln \left(\frac{4+3\mathrm{sinx}}{4+3\mathrm{cosx}}\right)\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 74890 by abdomathmax last updated on 03/Dec/19 $$find\int (x+3)\sqrt{(x-1)(2-x)}dx$$ Commented by mathmax by abdo last updated on 04/Dec/19 $$letI=\int (x+3)\sqrt{(x-1)(2-x)}dxchangement\sqrt{x-1}=tgive$$$${x}−\mathrm{1}={t}^{\mathrm{2}} \:\Rightarrow{I}\:=\int\left({t}^{\mathrm{2}}…