Category: Integration

Question Number 7465 by Yozzia last updated on 30/Aug/16 $$\int \frac{t^3}{{(t-1)}^2{(t^2+t+1)}^2}dt=?$$ Commented by prakash jain last updated on 30/Aug/16 $$=\int\frac{{t}^{\mathrm{3}}…

Question Number 138524 by mnjuly1970 last updated on 14/Apr/21 $$\dots \dots .advanced\dots \dots .\dots calculus\dots ..$$$$\mathbf{I}:={\int }_{\frac{-\pi }{2}}^{\frac{\pi }{2}}{sin}^2\left(tan\left(x\right)\right)dx\stackrel{???}{=}\frac{\pi }{e}sinh\left(1\right)$$ Answered by Dwaipayan Shikari last updated on…

Question Number 72986 by mathmax by abdo last updated on 05/Nov/19 $$calculate{\int }_0^{\mathrm{\infty }}\frac{e^{-x^2}cosx}{{(x^2+x+1)}^2}dx$$ Terms of Service Privacy Policy…

Question Number 7422 by Tawakalitu. last updated on 28/Aug/16 $$\int \frac{x^{2}dx}{(x-1){(x^2+4)}^2}$$ Answered by Yozzia last updated on 28/Aug/16 $$\frac{{x}^{\mathrm{2}} }{\left({x}−\mathrm{1}\right)\left({x}^{\mathrm{2}} +\mathrm{4}\right)^{\mathrm{2}}…

Question Number 7397 by Tawakalitu. last updated on 26/Aug/16 Answered by sandy_suhendra last updated on 27/Aug/16 $$sinx=\underset{n=0}{\sum ^{\mathrm{\infty }}}\frac{{(-1)}^n{x}^{2n+1}}{(2n+1)!}$$$$\frac{\mathrm{1}}{{x}}\:{sin}\:{x}\:=\:\frac{\mathrm{1}}{{x}}\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}}…