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Evaluating a Definite Integral with a ln x Denominator

A cyclotomic-style denominator and a ln x term look like a convergence problem but are not. The real work is tracking one parameter shift and one factor of 1/6 through a digamma-to-log-gamma step.

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Feynman's trickGamma functionIntegrationcalculusdefinite-integralsdigamma function

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