Category: Integration

Question Number 51394 by Tawa1 last updated on 26/Dec/18 $$\int \frac{1}{1+\sqrt{\tan \mathrm{x}}}\mathrm{dx}$$ Answered by peter frank last updated on 26/Dec/18 Commented by Tawa1 last updated…

Question Number 51353 by behi83417@gmail.com last updated on 26/Dec/18 Commented by tanmay.chaudhury50@gmail.com last updated on 27/Dec/18 Answered by tanmay.chaudhury50@gmail.com last updated on 26/Dec/18 $$\left.\mathrm{1}\right){I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…

Question Number 116846 by mnjuly1970 last updated on 07/Oct/20 $$\dots nicecalculus\dots$$$$provethat::$$$$$$$$$$$$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \sqrt{\frac{\left(\mathrm{2}^{{x}} −\mathrm{1}\right){sin}^{\mathrm{3}} \left({x}\right)}{\left(\mathrm{2}^{{x}} +\mathrm{1}\right)\left({sin}^{\mathrm{3}} \left({x}\right)+{cos}^{\mathrm{3}} \left({x}\right)\right)}}\:\:{dx}<\frac{\pi}{\mathrm{8}}…

Question Number 182368 by universe last updated on 08/Dec/22 $$\mathrm{find}\mathrm{volume}\mathrm{of}\mathrm{region}\mathrm{in}{\mathbb{R}}^3\mathrm{given}\mathrm{by}$$$$3\mid \mathrm{x}\mid +4\mid \mathrm{y}\mid +3\mid \mathrm{z}\mid ⩽12\mathrm{is}$$ Answered by mr W last updated on 08/Dec/22 $$\frac{\mid{x}\mid}{\mathrm{4}}+\frac{\mid{y}\mid}{\mathrm{3}}+\frac{\mid{z}\mid}{\mathrm{4}}\leqslant\mathrm{1} \…

Question Number 116815 by bemath last updated on 07/Oct/20 $$\int \frac{\mathrm{dx}}{(\mathrm{x}-2)({\mathrm{x}}^2+4)}=?$$ Answered by john santu last updated on 07/Oct/20 $$\Rightarrow\:\frac{\mathrm{1}}{\left({x}−\mathrm{2}\right)\left({x}^{\mathrm{2}} +\mathrm{4}\right)}\:=\:\frac{{A}}{{x}−\mathrm{2}}\:+\:\frac{{Bx}+{C}}{{x}^{\mathrm{2}} +\mathrm{4}} \…