Question Number 36433 by prof Abdo imad last updated on 02/Jun/18 $${valculate}\:{f}\left({x}\right)=\:\int_{\mathrm{0}} ^{\mathrm{2}} \:\:\frac{\left({x}+\mathrm{2}\right)^{\mathrm{2}} }{\:\sqrt{{x}^{\mathrm{2}} \:+\mathrm{4}{x}+\mathrm{5}}}{dx} \\ $$ Commented by abdo.msup.com last updated on 02/Jun/18…
Question Number 36434 by prof Abdo imad last updated on 02/Jun/18 $${find}\:{g}\left({x}\right)\:=\int_{\mathrm{0}} ^{{x}} \:\:\:\frac{{e}^{−{t}} }{\:\sqrt{\mathrm{1}+{t}^{\mathrm{2}} }}{dt}. \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 02/Jun/18…
Question Number 36431 by prof Abdo imad last updated on 02/Jun/18 $${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{x}+\mathrm{1}}{\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by prof Abdo imad last updated…
Question Number 36429 by prof Abdo imad last updated on 02/Jun/18 $${let}\:\:\varphi\left(\lambda\right)\:=\:\int_{\frac{\lambda}{\pi}} ^{\frac{\pi}{\lambda}} \left(\mathrm{1}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right){arctan}\left({x}\right){dx}\:{with}\:\lambda>\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{a}\:{simple}\:{form}\:{of}\:\varphi\left(\lambda\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\varphi^{'} \left(\lambda\right). \\ $$ Commented by abdo…
Question Number 36430 by prof Abdo imad last updated on 02/Jun/18 $${find}\:\:\int\:\:\:\frac{{ln}\left({x}+{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} }{dx}\: \\ $$ Commented by abdo mathsup last updated on 03/Jun/18 $${let}\:{integrate}\:{by}\:{parts}\:\:{u}^{'}…
Question Number 36428 by prof Abdo imad last updated on 02/Jun/18 $${find}\:\:\int\:\:\:\:\frac{{dx}}{{cos}^{\mathrm{4}} {x}\:+{sin}^{\mathrm{4}} {x}} \\ $$ Commented by abdo.msup.com last updated on 02/Jun/18 $${we}\:{have}\:{cos}^{\mathrm{4}} {x}\:+{sin}^{\mathrm{4}}…
Question Number 36427 by prof Abdo imad last updated on 02/Jun/18 $${calculate}\:\int_{\frac{\pi}{\mathrm{8}}} ^{\frac{\pi}{\mathrm{6}}} \:\:\:\frac{{dx}}{{sin}\left(\mathrm{2}{x}\right)} \\ $$ Commented by abdo mathsup 649 cc last updated on…
Question Number 36425 by abdo.msup.com last updated on 01/Jun/18 $${calculate}\:\int_{\mathrm{1}} ^{\mathrm{4}} \:\:\:\frac{{x}\sqrt{{x}}}{{x}^{\mathrm{2}} \:−\mathrm{5}{x}\:+\mathrm{4}}{dx} \\ $$ Commented by abdo mathsup 649 cc last updated on 03/Jun/18…
Question Number 36426 by abdo.msup.com last updated on 01/Jun/18 $${find}\:\:\int\:{x}^{\mathrm{2}} \sqrt{\mathrm{1}+{x}^{\mathrm{3}} \:}\:{dx} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 02/Jun/18 $$\int{x}^{\mathrm{2}} \sqrt{\mathrm{1}+{x}^{\mathrm{3}} \:}\:\:{dx} \\…
Question Number 36424 by abdo.msup.com last updated on 01/Jun/18 $${find}\:\int\:\:{x}^{\mathrm{2}} \sqrt{{x}^{\mathrm{2}} −\mathrm{1}}{dx} \\ $$ Commented by prof Abdo imad last updated on 03/Jun/18 $${changement}\:{x}\:=\:{ch}\left({t}\right)\:{give}\: \\…