Category: Integration

Question Number 60318 by Sardor2211 last updated on 19/May/19 Commented by kaivan.ahmadi last updated on 20/May/19 $$wefindI=\int x^{2}arctgxdxthenmultiply4$$$$u=arctgx\Rightarrow du=\frac{dx}{1+x^2}$$$${dv}={x}^{\mathrm{2}} {dx}\Rightarrow{v}=\frac{{x}^{\mathrm{3}} }{\mathrm{3}}…

Question Number 60311 by aliesam last updated on 19/May/19 $$\int \frac{dx}{\sqrt{sec{h}^2\left(x\right)+1}}dx$$ Commented by MJS last updated on 20/May/19 $$\mathrm{sech}x=\frac{1}{\cosh x}$$ Commented by…

Question Number 191369 by mnjuly1970 last updated on 23/Apr/23 $$$$$$calculate$$$$$$$$\mathit{\varphi }=\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{sin\left(\frac{n\pi }{3}\right)}{{(2n+1)}^2}=?$$$$$$ Answered by…

Question Number 60264 by maxmathsup by imad last updated on 19/May/19 $$letf\left(t\right)={\int }_0^{\mathrm{\infty }}\frac{e^{-3\left[x^2\right]}}{x^2+t^2}dxwitht>0$$$$1.determineaexplicitformoff\left(t\right)$$$$\mathrm{2}.\:{find}\:{also}\:{g}\left({t}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{e}^{−\mathrm{3}\left[{x}^{\mathrm{2}} \right]}…

Question Number 60234 by aliesam last updated on 19/May/19 Answered by ajfour last updated on 19/May/19 $$\mathrm{z}=\mathrm{x}-\mathrm{c}$$ Terms of Service Privacy Policy Contact:…