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Question Number 134667 by benjo_mathlover last updated on 06/Mar/21

G = ∫_0 ^( π/2)  arccos (((cos x)/(1+2cos x))) dx

$$\mathcal{G}\:=\:\int_{\mathrm{0}} ^{\:\pi/\mathrm{2}} \:\mathrm{arccos}\:\left(\frac{\mathrm{cos}\:\mathrm{x}}{\mathrm{1}+\mathrm{2cos}\:\mathrm{x}}\right)\:\mathrm{dx}\: \\ $$

Commented by LUFFY last updated on 06/Mar/21

search Coxeter′s integral

$${search}\:\mathrm{C}{oxeter}'{s}\:{integral} \\ $$

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