Question Number 172510 by Mikenice last updated on 28/Jun/22 Answered by mr W last updated on 28/Jun/22 $${e}^{\frac{{x}}{\mathrm{2}}} {x}=\pm\sqrt{\mathrm{2}} \\ $$$${e}^{\frac{{x}}{\mathrm{2}}} \left(\frac{{x}}{\mathrm{2}}\right)=\pm\frac{\sqrt{\mathrm{2}}}{\mathrm{2}} \\ $$$$\frac{{x}}{\mathrm{2}}={W}\left(\pm\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\right) \\…
Question Number 41436 by Raj Singh last updated on 07/Aug/18 Answered by rahul 19 last updated on 07/Aug/18 $$\mathrm{Check}\:\mathrm{Q}.\:\mathrm{Id}\:\mathrm{36491} \\ $$ Answered by MJS last…
Question Number 106964 by Ar Brandon last updated on 08/Aug/20 $$\int_{\mathrm{0}} ^{\pi} \frac{\mathrm{sec}^{\mathrm{2}} \mathrm{x}}{\:\sqrt{\mathrm{1}−\mathrm{tan}^{\mathrm{2}} \mathrm{x}}}\mathrm{dx} \\ $$ Commented by Her_Majesty last updated on 08/Aug/20 $${I}\:{believe}\:{this}\:{integral}\:{is}\:{divergent}…
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…