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A FullSimplify Problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41050] A FullSimplify Problem
  • From: "Ersek, Ted R" <ErsekTR at navair.navy.mil>
  • Date: Wed, 30 Apr 2003 04:22:42 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

At  http://mathworld.wolfram.com/LeibnizIntegralRule.html  
I learned that 
   Integrate[Log[1-2a Cos[x]+a^2],{x,0,Pi}]
   = 2*Pi*Log[Abs[a]]

Mathematica knows how to do this integral, but gives a much more complicated
result.  Can anyone explain how to use FullSimplify and other
transformations to show that the complicated result Mathematica gives is
equivalent to the answer above?

Thanks,
   Ted Ersek



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