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Improper integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37801] Improper integral
  • From: flavionet at libero.it (Flavio Cimolin)
  • Date: Wed, 13 Nov 2002 01:11:47 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi, I have a problem with the following improper integral:

Integrate[x^a Log[x]/(x^2+1),{x,0,+Infinity}]

which I know doesn't give 0 for {-1<a<1}.
Why is the result wrong?

For example:

NIntegrate[x^.5 Log[x]/(x^2 + 1), {x, 0, 100000}]

give 3.40397

What's wrong with that?


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