Question Number 102163 by mathmax by abdo last updated on 07/Jul/20 $$\mathrm{solve}\:\:\mathrm{y}^{''} \:−\mathrm{2xy}^{'} \:\:=\mathrm{xe}^{−\mathrm{x}^{\mathrm{2}} } \\ $$ Answered by mathmax by abdo last updated on…
Question Number 102160 by mathmax by abdo last updated on 07/Jul/20 $$\left.\mathrm{1}\right)\:\mathrm{let}\:\mathrm{a}<\mathrm{1}\:\mathrm{calculate}\:\int_{\mathrm{0}} ^{\pi} \:\frac{\mathrm{cos}\theta\mathrm{d}\theta}{\left(\mathrm{a}^{\mathrm{2}} −\mathrm{2acos}\theta\:+\mathrm{1}\right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{2}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\int_{\mathrm{0}} ^{\pi} \:\:\frac{\mathrm{cos}\theta}{\left(\mathrm{4}−\mathrm{2}\sqrt{\mathrm{3}}\mathrm{cos}\theta\right)^{\mathrm{2}} }\mathrm{d}\theta \\ $$$$ \\ $$…
Question Number 102158 by mathmax by abdo last updated on 07/Jul/20 $$\mathrm{calculate}\:\int_{−\infty} ^{+\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{9}\right)^{\mathrm{2}} } \\ $$ Answered by mathmax by abdo…
Question Number 102161 by mathmax by abdo last updated on 07/Jul/20 $$\mathrm{find}\:\int\:\frac{\mathrm{x}\sqrt{\mathrm{x}−\mathrm{1}}−\left(\mathrm{x}−\mathrm{1}\right)\sqrt{\mathrm{x}}}{\left(\mathrm{x}+\mathrm{1}\right)\sqrt{\mathrm{x}}−\mathrm{x}\sqrt{\mathrm{x}+\mathrm{1}}}\:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 102159 by mathmax by abdo last updated on 07/Jul/20 $$\mathrm{calculate}\:\int_{−\infty} ^{+\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{3}\right)^{\mathrm{2}} \left(\:\mathrm{2x}^{\mathrm{2}} \:+\mathrm{5}\right)} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 36613 by ajfour last updated on 03/Jun/18 Commented by ajfour last updated on 04/Jun/18 $${i}\:{just}\:{want}\:{to}\:{confirm}\:{with}\:{the} \\ $$$${right}\:{answer}.\:{please}\:{help}\:{finding}\:{it}. \\ $$ Commented by MrW3 last…
Question Number 102138 by Dwaipayan Shikari last updated on 06/Jul/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\sqrt{{y}}} ^{\mathrm{0}} \sqrt{{x}^{\mathrm{3}} +\mathrm{1}+{ax}^{\mathrm{2}} +{bx}+{c}}\:\:{dx}\:{dy} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 36595 by rahul 19 last updated on 03/Jun/18 $$\int\:\frac{{x}\:{dx}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} +\sqrt{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{3}} }}}\:=\:? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 03/Jun/18 $${t}=\mathrm{1}+{x}^{\mathrm{2}} \\…
Question Number 36597 by rahul 19 last updated on 03/Jun/18 $$\int\frac{\mathrm{d}{x}}{{x}^{\frac{\mathrm{2}}{\mathrm{3}}} \left(\mathrm{1}+{x}^{\frac{\mathrm{2}}{\mathrm{3}}} \right)}\:=\:? \\ $$ Commented by rahul 19 last updated on 03/Jun/18 $$\mathrm{I}\:\mathrm{tried}\:\mathrm{by}\:\mathrm{taking}\:{x}^{\frac{\mathrm{2}}{\mathrm{3}}} \:{common}\:{from}…
Question Number 102128 by Study last updated on 06/Jul/20 $$\:\int\frac{{x}+\mathrm{1}}{\:\sqrt{{x}}\:+\mathrm{1}}{dx}=? \\ $$ Answered by Dwaipayan Shikari last updated on 06/Jul/20 $$\int\frac{{x}}{\:\sqrt{{x}}+\mathrm{1}}+\frac{\mathrm{1}}{\:\sqrt{{x}}+\mathrm{1}}=\int\frac{\mathrm{2}{u}^{\mathrm{3}} }{{u}+\mathrm{1}}{du}+\int\frac{\mathrm{2}{u}}{{u}+\mathrm{1}}{du}\:\:\:\:\left\{\:\:\:{take}\:{x}\:\:{as}\:{u}^{\mathrm{2}} \right. \\ $$$$=\mathrm{2}\int\frac{{u}^{\mathrm{3}}…