Question Number 110448 by mathmax by abdo last updated on 29/Aug/20 $$\mathrm{calculate}\:\:\int_{−\infty} ^{+\infty} \:\frac{\mathrm{cos}\left(\mathrm{2x}\right)}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4i}\right)^{\mathrm{3}} }\mathrm{dx}\:\:\:\:\:\left(\mathrm{i}=\sqrt{−\mathrm{1}}\right) \\ $$ Answered by mathmax by abdo last updated…
Question Number 110447 by mathmax by abdo last updated on 29/Aug/20 $$\mathrm{calculate}\:\int_{−\infty} ^{+\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{ix}\:+\mathrm{1}\right)^{\mathrm{2}} }\:\:\left(\mathrm{i}=\sqrt{−\mathrm{1}}\right) \\ $$ Answered by mathmax by abdo last updated…
Question Number 175937 by qaz last updated on 09/Sep/22 $${if}\:{y}\left({x}−{y}\right)^{\mathrm{2}} ={x},\:\:\:{then}\:\int\frac{{dx}}{{x}−\mathrm{3}{y}}=? \\ $$ Answered by Frix last updated on 11/Sep/22 $${y}\left({x}−{y}\right)^{\mathrm{2}} ={x} \\ $$$${x}^{\mathrm{2}} {y}−\mathrm{2}{xy}^{\mathrm{2}}…
Question Number 175866 by Linton last updated on 08/Sep/22 $${f}\left({x}\right)={x}^{\mathrm{3}} +{ax} \\ $$$${f}^{−\mathrm{1}} \left({x}\right)=? \\ $$ Answered by mr W last updated on 08/Sep/22 $${y}={x}^{\mathrm{3}}…
Question Number 44781 by arvinddayama01@gmail.com last updated on 04/Oct/18 $$\boldsymbol{{prove}}\:\boldsymbol{{that}}:−\:\int\frac{\mathrm{1}}{\boldsymbol{\mathrm{t}}\sqrt{\mathrm{1}−\boldsymbol{\mathrm{t}}^{\mathrm{2}} }}\boldsymbol{\mathrm{dt}}\:=\:\boldsymbol{\mathrm{ln}}\left(\mathrm{1}−\sqrt{\mathrm{1}−\boldsymbol{\mathrm{t}}^{\mathrm{2}} }\right)+\boldsymbol{\mathrm{C}} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 04/Oct/18 $$\int\frac{{tdt}}{{t}^{\mathrm{2}} \sqrt{\mathrm{1}−{t}^{\mathrm{2}} }\:} \\…
Question Number 44778 by Necxx last updated on 04/Oct/18 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 44777 by Necxx last updated on 04/Oct/18 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 110301 by Lekhraj last updated on 28/Aug/20 Commented by mathmax by abdo last updated on 28/Aug/20 $$\mathrm{this}\:\mathrm{integral}\:\mathrm{is}\:\mathrm{divergent}…! \\ $$ Terms of Service Privacy…
Question Number 110262 by Ar Brandon last updated on 28/Aug/20 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{X}\left(\mathrm{x},\mathrm{y},\mathrm{z}\right),\:\mathrm{Y}\left(\mathrm{x},\mathrm{y},\mathrm{z}\right),\:\mathrm{Z}\left(\mathrm{x},\mathrm{y},\mathrm{z}\right) \\ $$$$\begin{cases}{\frac{\partial\mathrm{Z}}{\partial\mathrm{y}}−\frac{\partial\mathrm{Y}}{\partial\mathrm{z}}=\mathrm{1}−\mathrm{x}^{\mathrm{2}} }\\{\frac{\partial\mathrm{Z}}{\partial\mathrm{x}}−\frac{\partial\mathrm{X}}{\partial\mathrm{z}}=−\frac{\mathrm{y}^{\mathrm{2}} }{\mathrm{2}}}\\{\frac{\partial\mathrm{Y}}{\partial\mathrm{x}}−\frac{\partial\mathrm{X}}{\partial\mathrm{y}}=\mathrm{z}\left(\mathrm{2x}−\mathrm{y}\right)}\end{cases}\:\mathrm{where}\:\begin{cases}{\mathrm{X}\left(\mathrm{x},\mathrm{y},\mathrm{0}\right)=\mathrm{0}}\\{\mathrm{Y}\left(\mathrm{x},\mathrm{y},\mathrm{0}\right)=\mathrm{0}}\\{\mathrm{Z}\left(\mathrm{x},\mathrm{y},\mathrm{0}\right)=\mathrm{0}}\end{cases} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 44712 by peter frank last updated on 03/Oct/18 Answered by tanmay.chaudhury50@gmail.com last updated on 03/Oct/18 $$\left.\mathrm{1}\right)\int\frac{{x}^{{n}−\mathrm{1}} }{{x}^{{n}} \left(\mathrm{1}+{x}^{{n}} \right)}{dx} \\ $$$${t}={x}^{{n}} \:\:\:{dt}={nx}^{{n}−\mathrm{1}} {dx}…