Category: Integration

Question Number 37820 by prof Abdo imad last updated on 17/Jun/18 $$letf\left(x\right)=\frac{x^2}{1+x^4}$$$$1)calculate{f}^{\left(n\right)}\left(x\right)$$$$2)find{f}^{\left(n\right)}\left(0\right)$$$$3)developpfatintegrserie$$$$\left.\mathrm{4}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}}…

Question Number 37812 by prof Abdo imad last updated on 17/Jun/18 $$calculate{\int }_0^{\mathrm{\infty }}{e}^{-2x}sin\left\{\pi \left[x\right]\right\}dx.$$ Commented by abdo mathsup 649 cc last updated…

Question Number 103343 by Dwaipayan Shikari last updated on 14/Jul/20 $${\int }_0^1{x}^{-x}dx$$ Answered by mathmax by abdo last updated on 15/Jul/20…

Question Number 168874 by bagjagugum123 last updated on 20/Apr/22 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 168857 by Sotoberry last updated on 19/Apr/22 Answered by MJS_new last updated on 20/Apr/22 $$\int \frac{1}{x^3}\sqrt{\frac{x^2-1}{x+1}}dx=\int \frac{\sqrt{x-1}}{x^3}dx=$$$$[t=\sqrt{x-1}\to dx=2\sqrt{x-1}dt]$$$$=\mathrm{2}\int\frac{{t}^{\mathrm{2}} }{\left({t}^{\mathrm{2}}…