Category: Integration

Question Number 172600 by Mikenice last updated on 29/Jun/22 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 41518 by maxmathsup by imad last updated on 08/Aug/18 $$calculate{A}_n={\int }_0^1{(1-t^2)}^{n}dtwithnintegrnatural$$ Answered by alex041103 last updated on…

Question Number 41515 by maxmathsup by imad last updated on 08/Aug/18 $$let{f}_n\left(x\right)=\frac{sin\left(2(n+1)x\right)}{sinx}ifx\in ]0,\frac{\pi }{2}]and{f}_n\left(0\right)=2(n+1)let$$$$u_n={\int }_0^{\frac{\pi }{2}}{f}_n\left(x\right)dx$$$$\left.\mathrm{1}\right)\:{prove}\:{that}\:\:\forall{n}\:{fromN}\:\:{u}_{{n}+\mathrm{1}} −{u}_{{n}} =\mathrm{2}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} }{\mathrm{2}{n}+\mathrm{3}}…

Question Number 107051 by Ar Brandon last updated on 08/Aug/20 $${\int }_0^{\pi }\frac{\mathrm{cosx}}{2+{\sin }^2\mathrm{x}}\mathrm{dx}$$ Answered by Dwaipayan Shikari last updated on 08/Aug/20 $$\int_{\mathrm{0}}…

Question Number 107036 by john santu last updated on 08/Aug/20 $$\int \frac{\sqrt{1+{\mathrm{x}}^2}\mathrm{dx}}{{\mathrm{x}}^4}?$$ Commented by kaivan.ahmadi last updated on 08/Aug/20 $${x}={tgu}\Rightarrow{dx}=\left(\mathrm{1}+{tg}^{\mathrm{2}} {u}\right){du}={sec}^{\mathrm{2}} {udu}…