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Behavior of Mathematica 12.3.1, 13.0.1 under certain integrations

The Integral with 13.0.1 gives Integrate[x^(a - 1)*Log[x]*(Exp[(-x)*y] - 1), {x, 0, Infinity}] (* ConditionalExpression[(Gamma[a]*(-Log[y]+PolyGamma[0,a]))/y^a, -1 < Re[a] < 0 && Re[y] > 0 && Im[y] …
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