MathGroup Archive 2007

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two integrals

  • To: mathgroup at smc.vnet.net
  • Subject: [mg79079] two integrals
  • From: dimitris <dimmechan at yahoo.com>
  • Date: Wed, 18 Jul 2007 02:53:13 -0400 (EDT)

Any ideas for closed form expressions for the
following integrals?

In[71]:=
Integrate[ArcTan[(1 - z^2)/z^3]*(1/(z + p)), {z, 0, 1}]

In[73]:=
Integrate[ArcTan[(1 - z^2)/z^3]*(1/(z - p)), {z, 0, 1}, PrincipalValue
-> True]

[Parameter p takes values in the range (0,1) so
the second integral should be interpreted as a Cauchy
principal value integral]

Thanks, in advance, for your time and effort.

D.A.



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