Category: Relation and Functions

Question Number 13595 by Tinkutara last updated on 21/May/17 $$\mathrm{If}f:\mathbb{R}\to (-1,1)\mathrm{is}\mathrm{defined}\mathrm{by}$$$$f\left(x\right)=\frac{-x\mid x\mid }{1+x^2},\mathrm{then}\mathrm{prove}\mathrm{that}$$$$f^{-1}\left(x\right)=-\mathrm{sgn}\left(x\right)\sqrt{\frac{\mid x\mid }{1-\mid x\mid }}$$ Answered by mrW1 last updated on 21/May/17…

Question Number 79106 by mathmax by abdo last updated on 22/Jan/20 $$calculate{\int }_0^{\mathrm{\infty }}{e}^{-(x^2+\frac{1}{x^2})}dx$$ Commented by mathmax by abdo last…

Question Number 79104 by mathmax by abdo last updated on 22/Jan/20 $$decomposeF\left(x\right)=\frac{1}{(x^2-1)(x^2-2^2)\dots .(x^2-n^2)}insideR\left(x\right)$$ Terms of Service Privacy Policy Contact:…

Question Number 79105 by mathmax by abdo last updated on 22/Jan/20 $$caculate{\int }_0^{\mathrm{\infty }}\frac{dx}{(x+1)(x+2)\dots .(x+n)}withnintegr⩾2$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 79098 by mathmax by abdo last updated on 22/Jan/20 $$calculate\sum _{n=2}^{\mathrm{\infty }}\frac{{(-1)}^n}{n^4-1}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com