Category: Integration

Question Number 98929 by Dwaipayan Shikari last updated on 17/Jun/20 $$Find\left[\right]the\left[\right]integral\left[\right]of\left[\right]$$$$$$$$\int \frac{dt}{\sqrt{(1+t^{10})}}$$ Commented by maths mind last updated on…

Question Number 33356 by caravan msup abdo. last updated on 15/Apr/18 $$findtheradiusof\sum _{n⩾0}\frac{n^2+n}{2^n+n!}{x}^n$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 33353 by caravan msup abdo. last updated on 15/Apr/18 $$letx\in ]1,+\mathrm{\infty }[and\lambda \in [-1,1]$$$$givetheintegral{\int }_0^{\mathrm{\infty }}\frac{t^{x-1}{e}^{-t}}{1-\lambda e^{-t}}dt$$$$atformofserie.$$ Commented by…

Question Number 33352 by caravan msup abdo. last updated on 15/Apr/18 $$letgiveS\left(x\right)=\sum _{n⩾0}\frac{{(-1)}^n}{\sqrt{x+n}},x>0$$$$1)studythecontnuity,derivsbility,limits$$$$at{0}^{+}and+\mathrm{\infty }$$$$\left.\mathrm{2}\right)\:{we}\:{give}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−{t}^{\mathrm{2}} } {dt}\:=\frac{\sqrt{\pi}}{\mathrm{2}}\:.{prove}\:{that}…

Question Number 33350 by caravan msup abdo. last updated on 14/Apr/18 $$provethat{\int }_0^{\mathrm{\infty }}\frac{cos\left(\alpha x\right)}{chx}dx=$$$$2\sum _{n=0}^{\mathrm{\infty }}{(-1)}^n\frac{2n+1}{{(2n+1)}^2+{\alpha }^2}.$$ Commented by…