Category: Integration

Question Number 50422 by Abdo msup. last updated on 16/Dec/18 $$find{\int }_0^1\frac{ln\left(x\right)}{\sqrt{x}{(1-x)}^{\frac{3}{2}}}dx$$ Commented by Abdo msup. last updated on 23/Dec/18 $${changement}\:{x}\:={sin}^{\mathrm{2}}…

Question Number 50420 by Abdo msup. last updated on 16/Dec/18 $$find{\int }_0^{\frac{\pi }{6}}cosxln\left(cosx\right)dx$$ Commented by tanmay.chaudhury50@gmail.com last updated on 17/Dec/18 $${let}\:{I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{6}}} {cosxln}\left({cosx}\right){dx}…

Question Number 50418 by Abdo msup. last updated on 16/Dec/18 $$calculate{\int }_0^{lln\left(3\right)}\frac{{sh}^2\left(x\right)dx}{{ch}^3\left(x\right)}$$ Commented by Abdo msup. last updated on 24/Dec/18…

Question Number 50415 by Abdo msup. last updated on 16/Dec/18 $$calculate{\int }_0^{\frac{\pi }{2}}\frac{dt}{1+cos\theta cost}$$ Commented by Abdo msup. last updated on 18/Dec/18 $${let}\:{put}\:{cos}\theta\:=\:\lambda\:{and}\:{find}\:{A}\left(\lambda\right)=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…

Question Number 50414 by Abdo msup. last updated on 16/Dec/18 $$calculate{\int }_0^{\frac{\pi }{2}}\frac{xsinxcosx}{{tan}^{2}x+{cotan}^{2}x}dx$$$$ctanx=\frac{1}{tanx}$$ Answered by tanmay.chaudhury50@gmail.com last updated on…