Category: Integration

Question Number 145676 by mnjuly1970 last updated on 07/Jul/21 $$\dots advanced\dots \dots calculus\dots$$$$provethat:$$$$\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{{(-1)}^{n-1}}{n^3\left(\begin{array}{c}2n\\ n\end{array}\right)}=\frac{2}{5}\zeta \left(3\right)$$$$$$ Answered by Kamel…

Question Number 14588 by tawa tawa last updated on 02/Jun/17 $$\mathrm{Determine}\mathrm{the}\mathrm{fourth}\mathrm{roots}\mathrm{of}-16,\mathrm{giving}\mathrm{the}\mathrm{results}\mathrm{in}\mathrm{the}\mathrm{form}\mathrm{a}+\mathrm{jb}.$$ Answered by mrW1 last updated on 03/Jun/17 $$z^4=-16$$$${z}={x}+{iy}={r}\left(\mathrm{cos}\:\theta+{i}\:\mathrm{sin}\:\theta\right) \…

Question Number 145646 by physicstutes last updated on 06/Jul/21 $$\mathrm{Find}\mathrm{the}\mathrm{arc}\mathrm{lenght}\mathrm{of}\mathrm{the}\mathrm{function}{y}^2=\frac{x^3}{a}\mathrm{where}a\mathrm{is}\mathrm{a}\mathrm{constant}\mathrm{for}$$$$0⩽x⩽\frac{7a}{3}$$ Answered by Olaf_Thorendsen last updated on 06/Jul/21 $${y}^{\mathrm{2}} \:=\:\frac{{x}^{\mathrm{3}}…

Question Number 145635 by mathmax by abdo last updated on 06/Jul/21 $$\mathrm{calculate}{\int }_0^{\mathrm{\infty }}\frac{\arctan \left({3\mathrm{x}}^2\right)}{1+{\mathrm{x}}^2}\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 14523 by 1kanika# last updated on 01/Jun/17 Answered by linkelly0615 last updated on 01/Jun/17 $$setdV=dxdydz$$$$Origin=\int \int {\int }_{{[0,1)}^3}(0+0+0)dV=0$$ Commented by…