Question Number 195846 by mnjuly1970 last updated on 11/Aug/23 $$ \\ $$$$\:\:\:\:\:\:\begin{cases}{\:\:\:\Omega_{\mathrm{1}} \:=\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{\:{x}^{\:\mathrm{2}} }{{sin}^{\:\mathrm{2}} \left({x}\right)}\:{dx}\:}\\{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Rightarrow\:\:\:\frac{\Omega_{\mathrm{1}} }{\Omega_{\:\mathrm{2}} }\:=\:?\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}\\{\:\:\Omega_{\:\mathrm{2}} =\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{{x}}{{tan}\left({x}\right)}\:{dx}}\end{cases} \\ $$$$ \\…
Question Number 195803 by ajfour last updated on 10/Aug/23 $$\int\frac{\sqrt{{x}}{dx}}{\:\sqrt{−\mathrm{1}+\sqrt{\mathrm{2}−\left({x}+\mathrm{1}\right)^{\mathrm{2}} }}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 195468 by Calculusboy last updated on 03/Aug/23 $$\int\frac{{x}^{\mathrm{5}} +{x}^{\mathrm{2}} }{\left({x}^{\mathrm{6}} +\mathrm{2}{x}^{\mathrm{3}} \right)^{\mathrm{7}} }{dx} \\ $$ Answered by Frix last updated on 03/Aug/23 $${t}={x}^{\mathrm{6}}…
Question Number 195416 by Calculusboy last updated on 02/Aug/23 Answered by MrGHK last updated on 06/Aug/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 195224 by Rodier97 last updated on 28/Jul/23 $$\:\:\:\:\:\:\:\int_{\mathrm{1}} ^{\mathrm{e}} \mathrm{0}\:{dx}\:=\:?? \\ $$ Answered by Frix last updated on 27/Jul/23 $$=\mathrm{0}\underset{\mathrm{1}} {\overset{\mathrm{e}} {\int}}{dx}=\mathrm{0} \\…
Question Number 195126 by Erico last updated on 25/Jul/23 $$\mathrm{Soit}\:{f}_{{n}} \left({x}\right)=\mathrm{2}^{{n}+\mathrm{1}} \left[\frac{\frac{\mathrm{1}}{\mathrm{2}^{{n}} }{cotan}\left(\frac{{x}}{\mathrm{2}^{{n}} }\right)−{cotanx}}{{sin}\left(\frac{{x}}{\mathrm{2}^{{n}} }\right)}\right] \\ $$$${Calculer}\:\underset{{x}\rightarrow\mathrm{0}} {{lim}f}_{{n}} \left({x}\right)\:{et}\:\underset{{n}\rightarrow+\infty} {{lim}}\:\frac{{f}_{{n}} \left({x}\right)}{\mathrm{2}^{\mathrm{2}{n}+\mathrm{2}} } \\ $$ Answered…
Question Number 195082 by Rupesh123 last updated on 23/Jul/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 194975 by youssef last updated on 21/Jul/23 $$\int\frac{\mathrm{1}}{\boldsymbol{{x}}^{\mathrm{5}} +\mathrm{1}}\boldsymbol{{dx}} \\ $$ Commented by Frix last updated on 21/Jul/23 $$\mathrm{You}\:\mathrm{have}\:\mathrm{to}\:\mathrm{decompose} \\ $$$${x}^{\mathrm{5}} +\mathrm{1}=\left({x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} −\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}}{x}+\mathrm{1}\right)\left({x}^{\mathrm{2}}…
Question Number 194963 by C2coder last updated on 20/Jul/23 Answered by witcher3 last updated on 21/Jul/23 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{2asin}\left(\mathrm{x}\right)}{\mathrm{1}−\mathrm{a}^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}} \left(\mathrm{x}\right)}\right)\mathrm{dx}..? \\ $$$$ \\…
Question Number 194930 by mathlove last updated on 20/Jul/23 $$\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{−{x}} {dx}=? \\ $$ Commented by DwaipayanShikari last updated on 20/Jul/23 $$\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{−{x}}…