Prove that ∫_0 ^1 (∫_(1/6) ^(5/6) (dv/((1−^v (√u) )^v )))du=ln2−2ln((√3)−1)


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Question Number 65827 by ~ À ® @ 237 ~ last updated on 04/Aug/19

$P r o v e t h a t$ $\int_{0}^{1} (\int_{\frac{1}{6}}^{\frac{5}{6}} \frac{d v}{{(1 -^{v} \sqrt{u})}^{v}}) d u = l n 2 - 2 l n (\sqrt{3} - 1)$
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