speeding up intergration of sum

*To*: mathgroup at smc.vnet.net*Subject*: [mg126454] speeding up intergration of sum*From*: bar at ANTYSPAM.ap.krakow.pl*Date*: Sat, 12 May 2012 04:51:45 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Hello, I have a problem with Integrate[f[z]] where f[z] is a sum of many parts, All those parts are very simple ( like a/(b+z) ) Sometimes Integrate[f[z],z] doesn't reach convergence althouhg Integrate of the all of parts exists, The question is : Is it possible to force the Mathematica to calculate this sum step by step (part by part) ?? The resylt should be a sum of the a*Log[b+x] greetings , Olaf