prove that ∫_0 ^1 ((x^2 ln^2 (x))/(1−x^4 ))dx=(7/8)ζ(3)−(π^3 /(32))


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Question Number 112522 by mathdave last updated on 08/Sep/20

$p r o v e t h a t$ $\int_{0}^{1} \frac{x^{2} \ln^{2} (x)}{1 - x^{4}} d x = \frac{7}{8} ζ (3) - \frac{π^{3}}{32}$
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