Question Number 144939 by yoba last updated on 30/Jun/21 $$ \\ $$$$\boldsymbol{\mathrm{resoudre}} \\ $$$$\boldsymbol{\mathrm{I}}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \boldsymbol{\mathrm{tan}}\left(\boldsymbol{\mathrm{nx}}\right)\boldsymbol{\mathrm{tan}}^{\boldsymbol{\mathrm{n}}} \left(\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{dx}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 144925 by qaz last updated on 30/Jun/21 $$\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(\mathrm{2n}\right)!!}{\mathrm{2}^{\mathrm{n}} \centerdot\left(\mathrm{n}+\mathrm{1}\right)\centerdot\left(\mathrm{2n}+\mathrm{1}\right)!!}=? \\ $$ Answered by Ar Brandon last updated on 30/Jun/21 $$\left(\mathrm{2n}\right)!!=\mathrm{2n}\left(\mathrm{2n}−\mathrm{2}\right)\left(\mathrm{2n}−\mathrm{4}\right)…=\mathrm{2}^{\mathrm{n}} \mathrm{n}\left(\mathrm{n}−\mathrm{1}\right)\left(\mathrm{n}−\mathrm{2}\right)…=\mathrm{2}^{\mathrm{n}}…
Question Number 144926 by ArielVyny last updated on 30/Jun/21 $$\int_{\mathrm{0}} ^{\infty} {x}^{{n}} \left({e}^{{ix}} \right)^{{z}} {dx}=???\:\:\:\left({z}\in\mathbb{C}\right) \\ $$ Answered by mathmax by abdo last updated on…
Question Number 144924 by qaz last updated on 30/Jun/21 $$\mathrm{S}\left(\mathrm{x}\right)=\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(\mathrm{2n}\right)!!}{\left(\mathrm{2n}+\mathrm{1}\right)!!}\mathrm{x}^{\mathrm{2n}} =?……..\left(\mid\mathrm{x}\mid<\mathrm{1}\right) \\ $$ Answered by Ar Brandon last updated on 30/Jun/21 $$\left(\mathrm{2n}+\mathrm{1}\right)!!=\frac{\left(\mathrm{2n}+\mathrm{1}\right)!}{\left(\mathrm{2n}\right)!!} \\…
Question Number 144909 by ArielVyny last updated on 30/Jun/21 $$\Gamma\left({a}+{ib}\right)\:{doesn}'{t}\:{exist}\:?\:{give}\:{her}\:{value} \\ $$ Answered by qaz last updated on 30/Jun/21 $$\Gamma\left(\mathrm{a}+\mathrm{ib}\right)=\int_{\mathrm{0}} ^{\infty} \mathrm{x}^{\mathrm{a}+\mathrm{ib}−\mathrm{1}} \mathrm{e}^{−\mathrm{x}} \mathrm{dx} \\…
Question Number 144905 by SLVR last updated on 30/Jun/21 Commented by SLVR last updated on 30/Jun/21 $${kindly}\:{help}\:{me} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 79373 by mathmax by abdo last updated on 24/Jan/20 $${find}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−\left({x}^{\mathrm{3}} \:+\frac{\mathrm{1}}{{x}^{\mathrm{3}} }\right)} {dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 144896 by physicstutes last updated on 30/Jun/21 $$\mathrm{Evaluate}\: \\ $$$$\:\int{e}^{{x}} \left(\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}^{\mathrm{2}} }\right)^{\mathrm{2}} {dx}\: \\ $$ Answered by Dwaipayan Shikari last updated on 30/Jun/21…
Question Number 79352 by M±th+et£s last updated on 24/Jan/20 $$\int\frac{{dx}}{\mathrm{1}−\sqrt{{cos}\left({x}\right)}} \\ $$ Commented by mr W last updated on 24/Jan/20 $${no}\:{solution}\:{with}\:{elementary}\:{functions}. \\ $$$${or}\:{do}\:{you}\:{know}\:{a}\:{solution}? \\ $$…
Question Number 144876 by qaz last updated on 30/Jun/21 $$\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \left(\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{x}}−\frac{\mathrm{1}}{\mathrm{x}}\right)\mathrm{dx}=\mathrm{ln}\left(\mathrm{2tan}\:\frac{\mathrm{1}}{\mathrm{2}}\right) \\ $$ Answered by mindispower last updated on 30/Jun/21 $$ \\ $$$${sin}\left({x}\right)=\frac{\mathrm{2}{tg}\left(\frac{{x}}{\mathrm{2}}\right)}{\mathrm{1}+{tg}^{\mathrm{2}} \left(\frac{{x}}{\mathrm{2}}\right)}…