Category: Integration

Question Number 29028 by abdo imad last updated on 03/Feb/18 $$fort>0andf\left(t\right)={\left(4\pi t\right)}^{-\frac{n}{2}}{e}^{-\frac{x^2}{4t}}provethat$$$${\int }_R{f}_t\left(x\right)dx=1\mathrm{\forall }t>0.$$ Terms of Service Privacy Policy…

Question Number 94544 by Ar Brandon last updated on 19/May/20 $$1\mathrm{\setminus }\mathrm{Show}\mathrm{that}\mathrm{the}\mathrm{function}\mathrm{f}\left(\mathrm{x}\right)=\left[\mathrm{x}\right]\mathrm{is}\mathrm{of}\mathrm{Riemann}$$$$\mathrm{for}\mathrm{all}\mathrm{segments}\mathrm{of}\mathbb{R}$$$$2\mathrm{\setminus }\mathrm{Show}\mathrm{that}\mathrm{the}\mathrm{function}\mathrm{f}\left(\mathrm{x}\right)\mathrm{defined}\mathrm{within}\mathrm{x}\in [0,1]$$$$\mathrm{f}\left(\mathrm{x}\right)=\{\begin{array}{l}1\mathrm{if}\mathrm{x}\in \mathbb{Q}\cap [0,1]\\ 0\mathrm{otherwise}\end{array}\mathrm{is}\mathrm{not}\mathrm{of}\mathrm{Riemann}\mathrm{on}\mathrm{x}\in [0,1]$$ Terms of Service Privacy Policy Contact:…

Question Number 29003 by abdo imad last updated on 03/Feb/18 $$find{\int }_0^{\mathrm{\infty }}\frac{dx}{1+x^3}.$$ Commented by abdo imad last updated on 03/Feb/18 $${let}\:{put}\:{I}=\:\int_{\mathrm{0}}…

Question Number 29001 by abdo imad last updated on 03/Feb/18 $$findthevalueof{\int }_0^{\mathrm{\infty }}\frac{cos\left(\xi t\right)}{1+t^4}dt.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 28998 by abdo imad last updated on 03/Feb/18 $$find{\int }_{\gamma }\frac{e^z}{z(z+1)}dzwith\gamma =\{z\in C/\mid z-1\mid =2\}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com