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Question-150656




Question Number 150656 by mnjuly1970 last updated on 14/Aug/21
Answered by Ar Brandon last updated on 14/Aug/21
Ω=(1/2)(Γ((1/2))+Γ(1)+Γ((3/2)))      =(1/2)((√π)+1+((√π)/2))=(1/4)(3(√π)+2)
$$\Omega=\frac{\mathrm{1}}{\mathrm{2}}\left(\Gamma\left(\frac{\mathrm{1}}{\mathrm{2}}\right)+\Gamma\left(\mathrm{1}\right)+\Gamma\left(\frac{\mathrm{3}}{\mathrm{2}}\right)\right) \\ $$$$\:\:\:\:=\frac{\mathrm{1}}{\mathrm{2}}\left(\sqrt{\pi}+\mathrm{1}+\frac{\sqrt{\pi}}{\mathrm{2}}\right)=\frac{\mathrm{1}}{\mathrm{4}}\left(\mathrm{3}\sqrt{\pi}+\mathrm{2}\right) \\ $$
Commented by mnjuly1970 last updated on 14/Aug/21
mercey..
$${mercey}.. \\ $$

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