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speeding up intergration of sum
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b...@antyspam.ap.krakow.pl
May 12, 2012, 4:52:49 AM5/12/12
to
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
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
Bill Rowe
May 13, 2012, 3:04:35 AM5/13/12
to
On 5/12/12 at 4:51 AM, b...@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
>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) ??
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.
A Retey
May 14, 2012, 1:36:34 AM5/14/12
to
work happily with the original head Plus:
Integrate[#, z] & /@ f[z]
hth,
albert
b...@antyspam.ap.krakow.pl
May 20, 2012, 2:36:27 AM5/20/12
to
Thank You very much!
Olaf
Olaf
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