Question Number 106948 by abdomathmax last updated on 08/Aug/20 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{a}\right)\:=\int_{\mathrm{0}} ^{\pi} \:\frac{\mathrm{dx}}{\mathrm{a}+\mathrm{cos}^{\mathrm{2}} \mathrm{x}}\:\mathrm{with}\:\mathrm{a}>\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:\mathrm{explicite}\:\mathrm{f}\left(\mathrm{a}\right) \\ $$$$\left.\mathrm{2}\right)\mathrm{explicite}\:\mathrm{g}\left(\mathrm{a}\right)\:=\int_{\mathrm{0}} ^{\pi} \:\:\frac{\mathrm{dx}}{\left(\mathrm{a}+\mathrm{cos}^{\mathrm{2}} \mathrm{x}\right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{3}\right)\:\mathrm{find}\:\mathrm{tbe}\:\mathrm{valued}\:\mathrm{of}\:\mathrm{intevrsls} \\ $$$$\int_{\mathrm{0}}…
Question Number 106932 by Ar Brandon last updated on 07/Aug/20 $$\int_{\mathrm{0}} ^{\pi} \frac{\mathrm{x}}{\mathrm{1}+\mathrm{cos}^{\mathrm{2}} \mathrm{x}}\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated on 08/Aug/20…
Question Number 41378 by rahul 19 last updated on 06/Aug/18 $$\mathrm{Solve}\:: \\ $$$$\mathrm{e}^{{x}} \left({x}+\mathrm{1}\right){dx}\:+\:\left(\mathrm{ye}^{\mathrm{y}} \:−\:{xe}^{{x}} \right)\mathrm{dy}=\mathrm{0} \\ $$ Commented by rahul 19 last updated on…
Question Number 106908 by I want to learn more last updated on 07/Aug/20 Answered by abdomathmax last updated on 08/Aug/20 $$\mathrm{it}\:\mathrm{seems}\:\mathrm{not}\:\mathrm{resoluble}\:\mathrm{by}\:\mathrm{elementary}\:\mathrm{function}..! \\ $$ Terms of…
Question Number 106899 by abdomathmax last updated on 07/Aug/20 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{tsin}\left(\mathrm{2t}\right)}{\mathrm{t}^{\mathrm{2}} +\mathrm{4}}\:\mathrm{dt} \\ $$ Answered by mathmax by abdo last updated on 08/Aug/20 $$\mathrm{A}\:=\int_{\mathrm{0}}…
Question Number 41351 by vajpaithegrate@gmail.com last updated on 06/Aug/18 $$\int_{\mathrm{0}} ^{\infty} \left[\frac{\mathrm{5}}{\mathrm{e}^{\mathrm{x}} }\right]\mathrm{dx}= \\ $$ Commented by math khazana by abdo last updated on 06/Aug/18…
Question Number 41346 by maxmathsup by imad last updated on 05/Aug/18 $${calculate}\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:{cos}\left({x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \right){dxdy}\:. \\ $$ Commented by alex041103 last updated on 06/Aug/18…
Question Number 41343 by maxmathsup by imad last updated on 05/Aug/18 $${calculate}\:\:\:\:\int\int_{{D}} \:\left({x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right){dxdy}\:\:{with} \\ $$$${D}\:=\:\left[−\mathrm{1},\mathrm{1}\right]^{\mathrm{2}} \\ $$ Commented by maxmathsup by imad last…
Question Number 41326 by Fawomath last updated on 05/Aug/18 $${Evaluate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {x}^{\mathrm{3}} {sec}^{\mathrm{5}} {x}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 106867 by Penguin last updated on 07/Aug/20 $$\forall{n}\in\left(\mathrm{0},\:\mathrm{1}\right)\forall{x}\in\mathbb{R}\::\:{f}\left({x}\right)\:=\:\frac{{n}}{{n}−\mathrm{1}}{x}+{n} \\ $$$$\mathrm{The}\:\mathrm{given}\:\mathrm{function}\:\mathrm{gives}\:\mathrm{a}\:\mathrm{linear}\:\mathrm{line}\:\mathrm{that} \\ $$$$\mathrm{goes}\:\mathrm{through}\:\mathrm{points}\:\left(\mathrm{0},\:{n}\right)\:\mathrm{and}\:\left(\mathrm{1}−{n},\:\mathrm{0}\right). \\ $$$$\mathrm{The}\:\mathrm{function}\:\mathrm{changes}\:\mathrm{as}\:{n}\:\mathrm{changes}. \\ $$$$\mathrm{What}\:\mathrm{area}\:\mathrm{is}\:\mathrm{beneath}\:\mathrm{the}\:\mathrm{shape}\:\mathrm{made}\:\mathrm{as} \\ $$$${n}\:\mathrm{goes}\:\mathrm{from}\:\mathrm{0}\rightarrow\mathrm{1}? \\ $$ Commented by Penguin…