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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.
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