Mathematica 8 Integration Bug

*To*: mathgroup at smc.vnet.net*Subject*: [mg115978] Mathematica 8 Integration Bug*From*: ChiaraB <c.boldrini at gmail.com>*Date*: Fri, 28 Jan 2011 06:13:13 -0500 (EST)

Hello, I needed to manipulate some probability distributions, so I ran the following code: ccdfPL[x_, alpha_, xmin_] = (xmin/(xmin + x))^(alpha) Assuming[alpha \[Element] Reals && alpha > 0 && xmin \[Element] Reals && xmin > 0, \!\( \*SubsuperscriptBox[\(\[Integral]\), \(0\), \(+\[Infinity]\)]\(D[ 1 - ccdfPL[x, alpha, xmin], x] \[DifferentialD]x\)\)] According to Mathematica 8, this integral does not converge on [0,+\ [Infinity]), while it does converge using Mathematica 6 and Mathematica 7 (it converges using paper and pencil as well :) ). Any idea on how this is possible? Thanks, Chiara