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MathGroup Archive 2003

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Improper integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg44608] Improper integral
  • From: poujadej at yahoo.fr (Jean-Claude Poujade)
  • Date: Mon, 17 Nov 2003 03:38:43 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Bonjour le groupe,

I'm not a mathematician and I wonder why Mathematica doesn't return 0 
for this doubly infinite improper integral :

In[1]:=$Version
Out[1]=4.1 for Microsoft Windows (November 2, 2000)

In[2]:=Integrate[x/(1+x^2),{x,-Infinity,Infinity},PrincipalValue->True]
Integrate::idiv[...]does not converge[...]
Out[2]:=Integrate[x/(1+x^2),{x,-Infinity,Infinity},PrincipalValue->True]

maybe it's different with Mathematica 5.0 ?
---
jcp


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