Question Number 106285 by bemath last updated on 04/Aug/20 $$\underset{\mathrm{0}} {\overset{\infty} {\int}}\mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } \:\mathrm{dx}\:? \\ $$ Answered by bobhans last updated on 04/Aug/20 $$\mathrm{recall}\:\underset{−\infty} {\overset{\infty}…
Question Number 40745 by Raj Singh last updated on 27/Jul/18 Answered by tanmay.chaudhury50@gmail.com last updated on 27/Jul/18 $${x}^{\mathrm{3}} ={a}^{\mathrm{3}} {sin}^{\mathrm{2}} \alpha \\ $$$$\mathrm{3}{x}^{\mathrm{2}} {dx}={a}^{\mathrm{3}} .\mathrm{2}{sin}\alpha{cos}\alpha\:{d}\alpha…
Question Number 40716 by ajeetyadav4370 last updated on 26/Jul/18 $$\int\left({cosx}−{cos}\mathrm{2}{x}/\mathrm{1}−{cosx}\right){dx} \\ $$ Answered by maxmathsup by imad last updated on 26/Jul/18 $${let}\:{I}\:=\:\int\:\:\frac{{cosx}\:−{cos}\left(\mathrm{2}{x}\right)}{\mathrm{1}−{cosx}}\:{dx} \\ $$$${I}\:=\:\int\:\:\:\frac{{cosx}\:−\left(\mathrm{2}{cos}^{\mathrm{2}} {x}−\mathrm{1}\right)}{\mathrm{1}−{cosx}}{dx}\:=\:\int\:\:\frac{−\mathrm{2}{cos}^{\mathrm{2}}…
Question Number 40717 by ajeetyadav4370 last updated on 26/Jul/18 $$\int\sqrt{{tanx}/{sinx}.{cosxdx}} \\ $$ Commented by math khazana by abdo last updated on 26/Jul/18 $${let}\:{I}\:\:=\:\int\:\:\sqrt{\frac{{tanx}}{{sinx}\:{cosx}}}{dx} \\ $$$${I}\:=\:\int\:\:\:\sqrt{\frac{{sinx}}{{sinx}\:{cos}^{\mathrm{2}}…
Question Number 106232 by abdomathmax last updated on 03/Aug/20 $$\mathrm{find}\:\int\:\mathrm{cos}^{\mathrm{n}} \mathrm{x}\:\mathrm{ch}\left(\mathrm{nx}\right)\mathrm{dx}\:/\mathrm{with}\:\mathrm{n}\:\mathrm{integr} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40684 by vajpaithegrate@gmail.com last updated on 26/Jul/18 $$\int\frac{\mathrm{x}^{\mathrm{7}} −\mathrm{1}}{\mathrm{logx}}\mathrm{dx} \\ $$ Commented by math khazana by abdo last updated on 26/Jul/18 $${let}\:{I}\:=\:\int\:\:\:\:\frac{{x}^{\mathrm{7}} −\mathrm{1}}{{ln}\left({x}\right)}{dx}\:\:{changement}\:{ln}\left({x}\right)={t}\:{give}…
Question Number 171744 by mnjuly1970 last updated on 20/Jun/22 $$ \\ $$$$\:\:\:\:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\sqrt{{x}}\:{ln}\left({x}\right)}{{x}^{\:\mathrm{2}} −{x}\:+\mathrm{1}}\:{dx}\:=\:???? \\ $$ Answered by Mathspace last updated on 21/Jun/22 $${I}=\int_{\mathrm{0}}…
Question Number 40675 by Raj Singh last updated on 26/Jul/18 Commented by math khazana by abdo last updated on 30/Jul/18 $${let}\:{I}\:=\:\int\:\:\:\:\:\frac{{dx}}{\mathrm{2}{sinx}\:+{cosx}\:+\mathrm{3}}\:{cha}\mathrm{7}{gement} \\ $$$${tan}\left(\frac{{x}}{\mathrm{2}}\right)={t}\:{give} \\ $$$${I}\:\:\:=\:\int\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{2}\frac{\mathrm{2}{t}}{\mathrm{1}+{t}^{\mathrm{2}}…
Question Number 40661 by math khazana by abdo last updated on 25/Jul/18 $$\left.\mathrm{1}\right){find}\:\:{g}\left({x}\right)=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {ln}\left(\mathrm{1}−{x}^{\mathrm{2}} {cos}^{\mathrm{2}} \theta\right){d}\theta\:\:{with}\:{x}\:{from}\:{R} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {ln}\left(\mathrm{1}−\mathrm{2}\:{cos}^{\mathrm{2}} \theta\right){d}\theta\:{and} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:\: \\…
Question Number 40660 by math khazana by abdo last updated on 25/Jul/18 $${let}\:{f}\left({t}\right)\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({tcosx}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{another}\:{form}\:{of}\:{f}\left({t}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\:\frac{{arctan}\left(\mathrm{2}{cosx}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx}\:. \\ $$…