Category: Relation and Functions

Question Number 46744 by math khazana by abdo last updated on 31/Oct/18 $$calculate{S}_n=\sum _{0⩽i,j⩽n}\frac{i+j}{2^{i+j}}$$ Commented by MJS last updated on 31/Oct/18…

Question Number 112248 by 675480065 last updated on 06/Sep/20 $${\int }_{-\frac{\pi }{2}}^{\frac{\pi }{2}}{\cos }^{2019}\left(\mathrm{x}\right)\cos \left(2020\mathrm{x}\right)\mathrm{dx}$$$$\mathrm{pls}\mathrm{help}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 46705 by math khazana by abdo last updated on 30/Oct/18 $$calculate\sum _{k=0}^n\frac{1}{3k+1}intermsof{H}_n$$$$H_n=\sum _{k=1}^n\frac{1}{k}.$$ Terms of Service…

Question Number 46610 by maxmathsup by imad last updated on 29/Oct/18 $$let{f}_n\left(x\right)=e^{-nx}-2e^{-2nx}withxfrom[0,+\mathrm{\infty }[$$$$\left.\mathrm{1}\right){calculate}\:\int_{\mathrm{0}} ^{\infty} \:{f}_{{n}} \left({x}\right){dx}\:\:{and}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\left(\int_{\mathrm{0}} ^{\infty} \:{f}_{{n}} \left({x}\right){dx}\right)…

Question Number 46598 by maxmathsup by imad last updated on 29/Oct/18 $$calculate\sum _{n=0}^{\mathrm{\infty }}arctan\left(\frac{1}{n^2+n+1}\right)$$ Commented by math khazana by abdo last updated…