Question Number 36942 by maxmathsup by imad last updated on 07/Jun/18 $${let}\:{I}\:=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\frac{{cosx}}{\:\sqrt{\mathrm{1}+{cosx}\:{sinx}}}{dx}\:{and}\:{J}\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\frac{{sinx}}{\:\sqrt{\mathrm{1}+{cosx}\:{sinx}}}{dx} \\ $$$${prove}\:{that}\:{I}={J}\:\:{then}\:{calculate}\:{I}\:{and}\:{J}\:. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated…
Question Number 36940 by maxmathsup by imad last updated on 07/Jun/18 $${find}\:{f}\left({a}\right)=\:\int_{\mathrm{0}} ^{{a}} \:{arctan}\left(\sqrt{{a}^{\mathrm{2}} \:−{x}^{\mathrm{2}} }\right){dx} \\ $$ Commented by math khazana by abdo last…
Question Number 36938 by maxmathsup by imad last updated on 07/Jun/18 $$\left.\mathrm{1}\right)\:{find}\:\:\:{f}\left({a}\right)\:=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\frac{{dt}}{\mathrm{1}+{a}\:{cost}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{A}\left(\theta\right)\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\:\frac{{dt}}{\mathrm{1}+{sin}\theta\:{cost}} \\ $$ Commented by math khazana by…
Question Number 36939 by maxmathsup by imad last updated on 07/Jun/18 $${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:^{\mathrm{3}} \sqrt{{x}^{\mathrm{2}} \left(\mathrm{1}−{x}\right)\:}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 36936 by maxmathsup by imad last updated on 07/Jun/18 $${calculate}\:{I}_{{n}} \:=\:\int_{\mathrm{0}} ^{\pi} \:\:\:\frac{{dx}}{\mathrm{1}+{cos}^{\mathrm{2}} \left({nx}\right)} \\ $$ Commented by math khazana by abdo last…
Question Number 36937 by maxmathsup by imad last updated on 07/Jun/18 $${calculate}\:\:\int_{\mathrm{0}} ^{\pi} \:\:\:\frac{{x}\:{dx}}{\mathrm{1}+{cosx}} \\ $$ Commented by math khazana by abdo last updated on…
Question Number 36935 by maxmathsup by imad last updated on 07/Jun/18 $${find}\:{all}\:{function}\:{f}\:{R}\rightarrow{R}\:\:{wich}\:{verify} \\ $$$$\forall\left({x},{y}\right)\in\:{R}^{\mathrm{2}} \:\:\:{f}\left({x}\right).{f}\left({y}\right)\:=\int_{{x}−{y}} ^{{x}+{y}} \:{f}\left({t}\right){dt}\:. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 102470 by M±th+et+s last updated on 09/Jul/20 $$\int\frac{{dx}}{{x}^{\mathrm{10}} +{x}^{\mathrm{2}} } \\ $$$$ \\ $$ Answered by Ar Brandon last updated on 09/Jul/20 $$\mathcal{I}=\int\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{10}}…
Question Number 36932 by maxmathsup by imad last updated on 07/Jun/18 $${let}\:{f}\:\in\:{C}^{\mathrm{0}} \left(\left[\mathrm{0},\pi\right],{R}\right)\:\:{prove}\:{that} \\ $$$${lim}_{{n}\rightarrow+\infty} \:\int_{\mathrm{0}} ^{\pi} {f}\left({x}\right)\:\mid{sin}\left({nx}\right)\mid{dx}\:=\frac{\mathrm{2}}{\pi}\:\int_{\mathrm{0}} ^{\pi} {f}\left({x}\right){dx}\:. \\ $$ Terms of Service…
Question Number 36931 by maxmathsup by imad last updated on 07/Jun/18 $${calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\frac{{dt}}{{x}\:−{e}^{{it}} } \\ $$ Commented by math khazana by abdo last updated…