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Evaluate-0-1-n-1-1-q-4n-6-dq-




Question Number 223191 by Nicholas666 last updated on 17/Jul/25
         Evaluate ; ∫_0 ^1  Π_(n=1) ^∞  (1−q^(4n) )^6  dq
$$ \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\mathrm{Evaluate}}\:;\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\prod}}\:\left(\mathrm{1}−{q}^{\mathrm{4}{n}} \right)^{\mathrm{6}} \:{dq} \\ $$$$ \\ $$

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