Question Number 84396 by Aditya789 last updated on 12/Mar/20 $$\int\frac{\mathrm{x}\sqrt{\mathrm{x}+\mathrm{1}}}{\mathrm{x}+\mathrm{2}}\mathrm{dx} \\ $$ Commented by jagoll last updated on 12/Mar/20 $$\mathrm{let}\:\sqrt{\mathrm{x}+\mathrm{1}\:}\:=\:\mathrm{u}\:\Rightarrow\:\mathrm{x}=\mathrm{u}^{\mathrm{2}} −\mathrm{1} \\ $$$$\Rightarrow\int\:\frac{\:\:\left(\mathrm{u}^{\mathrm{2}} −\mathrm{1}\right)\mathrm{u}\:\left(\mathrm{2u}\:\mathrm{du}\right)}{\mathrm{u}^{\mathrm{2}} +\mathrm{1}}\:=\:…
Question Number 84399 by Power last updated on 12/Mar/20 Commented by TANMAY PANACEA last updated on 12/Mar/20 $${excellent}\:{problem}…{need}\:{time}\:{to}\:{hit}\:{bulls}\:{eye} \\ $$ Terms of Service Privacy Policy…
Question Number 84395 by Aditya789 last updated on 12/Mar/20 $$\frac{\mathrm{x}\sqrt{\mathrm{x}+\mathrm{1}}}{\mathrm{x}+\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84386 by M±th+et£s last updated on 12/Mar/20 $$\int\sqrt{{x}−\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }}\:{dx} \\ $$ Answered by mind is power last updated on 13/Mar/20 $${x}=\mathrm{2}{sin}\left({t}\right)\Rightarrow \\ $$$$=\int\mathrm{2}{cos}\left({t}\right)\sqrt{\mathrm{2}{sin}\left({t}\right)−\mathrm{2}{cos}\left({t}\right)}{dt}\:\:{let}…
Question Number 84379 by Power last updated on 12/Mar/20 Answered by mind is power last updated on 12/Mar/20 $$=\int\frac{{x}\mathrm{2}{i}}{{e}^{{ix}} −{e}^{−{ix}} }{dx} \\ $$$$=\int\frac{{x}\mathrm{2}{ie}^{{ix}} }{\left({e}^{\mathrm{2}{ix}} −\mathrm{1}\right)}{dx}={f}\left({x}\right)…
Question Number 149903 by bramlexs22 last updated on 08/Aug/21 $$\:\Omega\:=\:\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\:\frac{\mathrm{cos}\:^{\mathrm{3}} \mathrm{x}}{\:\sqrt{\mathrm{1}−\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}}\:\mathrm{dx}\: \\ $$ Answered by Ar Brandon last updated on 08/Aug/21 $$\Omega=\int_{\mathrm{0}}…
Question Number 149885 by puissant last updated on 08/Aug/21 $${I}_{{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \frac{{dx}}{{cos}^{\mathrm{2}{n}+\mathrm{1}} {x}} \\ $$$${to}\:{show}\:{that}\:: \\ $$$$\forall\:{n}\in\mathbb{N}^{\ast} ,\:\mathrm{2}{nI}_{{n}} =\left(\mathrm{2}{n}−\mathrm{1}\right){I}_{{n}−\mathrm{1}} +\frac{\mathrm{2}^{{n}} }{\:\sqrt{\mathrm{2}}} \\ $$$$\left({I}_{{n}} =\int_{\mathrm{0}}…
Question Number 84334 by sahnaz last updated on 11/Mar/20 $$\int\frac{\mathrm{1}−\mathrm{u}}{−\mathrm{1}−\mathrm{2u}+\mathrm{u}^{\mathrm{2}} }\mathrm{du} \\ $$ Commented by niroj last updated on 11/Mar/20 $$\:\:\int\:\frac{−\left(\mathrm{u}−\mathrm{1}\right)}{−\left(\mathrm{1}+\mathrm{2u}−\mathrm{u}^{\mathrm{2}} \right)}\mathrm{du} \\ $$$$\:\:\:\int\:\frac{{u}−\mathrm{1}}{\mathrm{1}+\mathrm{2}{u}−{u}^{\mathrm{2}} }{du}…
Question Number 84313 by M±th+et£s last updated on 11/Mar/20 $$\int\:\:\left({a}^{\mathrm{2}/\mathrm{5}} −{x}^{\mathrm{2}/\mathrm{5}} \right)^{\frac{\mathrm{5}}{\mathrm{2}}} \:{dx} \\ $$ Commented by niroj last updated on 11/Mar/20 $$\:\int\:\left(\mathrm{a}^{\mathrm{2}/\mathrm{5}} −\mathrm{x}^{\mathrm{2}/\mathrm{5}} \right)^{\mathrm{5}/\mathrm{2}}…
Question Number 84310 by pk 1167156@gmail.com last updated on 11/Mar/20 Terms of Service Privacy Policy Contact: info@tinkutara.com