Question Number 129777 by stelor last updated on 18/Jan/21 $$\left({x}^{\mathrm{2}} −{xy}−{y}^{\mathrm{2}} \right){dx}+{x}^{\mathrm{2}} {dy}\:=\:\mathrm{0} \\ $$$${hello}…\:{please}\:{help}\:{me}. \\ $$ Answered by Ar Brandon last updated on 18/Jan/21…
Question Number 64240 by harish kumar last updated on 16/Jul/19 Answered by Tanmay chaudhury last updated on 16/Jul/19 $$\mathrm{4}{x}^{\mathrm{2}} −{y}^{\mathrm{2}} +\mathrm{2}{x}−\mathrm{2}{y}−\mathrm{3}{xy} \\ $$$$\mathrm{4}{x}^{\mathrm{2}} −\mathrm{3}{xy}−{y}^{\mathrm{2}} +\mathrm{2}\left({x}−{y}\right)…
Question Number 64238 by mmkkmm000m last updated on 16/Jul/19 $$\int{ln}\left({x}−\mathrm{5}\right)/{x}^{\mathrm{2}} +\mathrm{110}{x}−\mathrm{5}{dx} \\ $$ Commented by mr W last updated on 16/Jul/19 $${sir},\:{please}\:{use}\:{smaller}\:{font}\:{for}\:{your} \\ $$$${posts}!\: \\…
Question Number 129764 by Eric002 last updated on 18/Jan/21 $${prove}\:{that} \\ $$$$\int_{−\infty} ^{+\infty} {x}^{\mathrm{2}} \:{e}^{−{x}^{\mathrm{2}} } \:{cos}\left({x}^{\mathrm{2}} \right){sin}\left({x}^{\mathrm{2}} \right)\:{dx} \\ $$$$=\frac{\sqrt{\pi}{sin}\left[\frac{\sqrt{\mathrm{3}}{tan}^{−\mathrm{1}} \left(\mathrm{2}\right)}{\mathrm{2}}\right]}{\mathrm{4}\:\sqrt[{\mathrm{4}}]{\mathrm{125}}} \\ $$ Answered…
Question Number 64227 by Tony Lin last updated on 16/Jul/19 $$\int\frac{\mathrm{1}}{{x}^{\mathrm{6}} +{x}^{\mathrm{3}} }{dx}=? \\ $$ Answered by ajfour last updated on 16/Jul/19 $${I}=\int\frac{{dx}}{{x}^{\mathrm{3}} \left(\mathrm{1}+{x}^{\mathrm{3}} \right)}…
Question Number 129763 by Eric002 last updated on 18/Jan/21 $${prove} \\ $$$$\int_{−\infty} ^{+\infty} \frac{\mathrm{1}}{\mathrm{1}+{e}^{{x}^{\mathrm{2}} } }{dx}=\sqrt{\pi}\:\left(\mathrm{1}−\sqrt{\mathrm{2}}\:\right)\xi\left(\frac{\mathrm{1}}{\mathrm{2}}\right) \\ $$ Answered by Dwaipayan Shikari last updated on…
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Question Number 64224 by mmkkmm000m last updated on 16/Jul/19 $$\int{x}_{{x}} {dx} \\ $$$$ \\ $$$$\int{x}^{{x}} {dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 129758 by I want to learn more last updated on 18/Jan/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{derivatives}\:\mathrm{of}\:\:\:\:\mathrm{log}_{\mathrm{e}} \left(\mathrm{6x}\:+\:\mathrm{8}\right)^{\mathrm{5}} \\ $$ Commented by Dwaipayan Shikari last updated on 18/Jan/21…
Question Number 129759 by mohammad17 last updated on 18/Jan/21 $${since}\:{f}\left({z}\right)=\sqrt{{z}−\mathrm{1}}\:{find}\:{f}^{−\mathrm{1}} \left({z}\right)\:? \\ $$ Answered by I want to learn more last updated on 18/Jan/21 $$\mathrm{y}\:\:=\:\:\sqrt{\mathrm{z}\:\:−\:\:\mathrm{1}}…