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Question Number 134505 by Ñï= last updated on 04/Mar/21

Prove::((Li_3 (1))/(10))=∫_0 ^(ln(((√5)+1)/2)) x^2 coth(x)dx

$${Prove}::\frac{{Li}_{\mathrm{3}} \left(\mathrm{1}\right)}{\mathrm{10}}=\int_{\mathrm{0}} ^{{ln}\frac{\sqrt{\mathrm{5}}+\mathrm{1}}{\mathrm{2}}} {x}^{\mathrm{2}} {coth}\left({x}\right){dx} \\ $$

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