Re: speeding up intergration of sum

*To*: mathgroup at smc.vnet.net*Subject*: [mg126479] Re: speeding up intergration of sum*From*: Bill Rowe <readnews at sbcglobal.net>*Date*: Sun, 13 May 2012 03:03:01 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

On 5/12/12 at 4:51 AM, bar at ANTYSPAM.ap.krakow.pl wrote: >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) ?? Yes, if f[z] is just a sum of terms then you could do either Total@Integrate[List@@f[z],z] or Total[Integrate[#,z]&/@List@@f[z]] Either will cause Mathematica to integrate each term individually then sum the results of each integration. I don't know whether this will be faster or not for your situation.