Category: Integration

Question Number 163828 by milandou last updated on 11/Jan/22 $$\int \frac{e^x}{x}$$ Answered by Ar Brandon last updated on 11/Jan/22 $$=\int\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{{x}^{{n}−\mathrm{1}} }{{n}!}{dx}=\int\left(\frac{\mathrm{1}}{{x}}+\underset{{n}=\mathrm{1}}…

Question Number 32741 by caravan msup abdo. last updated on 01/Apr/18 $$find{\int }_0^1\frac{ln(t^2+2tcosx+1)}{t}dt.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 32739 by caravan msup abdo. last updated on 01/Apr/18 $$letf\left(x\right)={\int }_0^{\mathrm{\infty }}\frac{e^{-t}}{1+xt}dt$$$$calculate{f}^{\left(n\right)}\left(0\right).$$ Commented by abdo imad last…

Question Number 98271 by Ar Brandon last updated on 12/Jun/20 $$\mathcal{G}{\mathrm{ivenU}}_{\mathrm{n}}={\int }_0^1{\mathrm{x}}^{\mathrm{n}}\sqrt{1-\mathrm{x}}\mathrm{dx}\mathrm{n}\in \mathbb{N},\mathrm{show}\mathrm{that}$$$${\mathrm{U}}_{\mathrm{n}}=\frac{2^{\mathrm{n}+2}\mathrm{n}!(\mathrm{n}+1)}{(2\mathrm{n}+3)!}$$ Commented by Ar Brandon…

Question Number 32731 by caravan msup abdo. last updated on 31/Mar/18 $$1)provethat{\int }_0^1\frac{arctant}{t}dt=-{\int }_0^1\frac{lnt}{1+t^2}dt$$$$2)find{\int }_0^1\frac{arctant}{t}dtatformofserie$$ Terms of…