Category: Integration

Question Number 42806 by maxmathsup by imad last updated on 02/Sep/18 $$let{u}_n={\int }_n^{n+2}\frac{{(t+n)}^{\frac{1}{4}}}{t^{\frac{1}{3}}}dt$$$$find{lim}_{n\to +\mathrm{\infty }}{u}_n$$ Terms of Service…

Question Number 42803 by maxmathsup by imad last updated on 02/Sep/18 $$find{\int }_0^1(x^2+1)\sqrt{\frac{1-x}{1+x}}dx$$ Answered by tanmay.chaudhury50@gmail.com last updated on 03/Sep/18 $$\int_{\mathrm{0}}…

Question Number 42802 by maxmathsup by imad last updated on 02/Sep/18 $$calculate{\int }_{\frac{1}{2}}^{\frac{5}{4}}\frac{x^3}{\sqrt{2+x-x^2}}dx$$ Commented by maxmathsup by imad last updated…

Question Number 42798 by maxmathsup by imad last updated on 02/Sep/18 $$find{I}_n={\int }_0^1{x}^n\sqrt{1-x^2}dx$$ Commented by maxmathsup by imad last…

Question Number 42797 by maxmathsup by imad last updated on 02/Sep/18 $$let{u}_k={\int }_{-\frac{\pi }{2}+k\pi }^{-\frac{\pi }{2}+(k+1)\pi }{e}^{-t}costdt$$$$1)calculate{u}_k$$$$\left.\mathrm{2}\right)\:{let}\:{A}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:{u}_{{k}} \:\:\:\:\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}}…