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challenging integration

  • To: mathgroup at smc.vnet.net
  • Subject: [mg13323] challenging integration
  • From: quartier at umnw.ethz.ch (Robin Quartier)
  • Date: Mon, 20 Jul 1998 02:49:45 -0400
  • Organization: ETH Zurich
  • Sender: owner-wri-mathgroup at wolfram.com

Hi everybody.

I have a function defined as follow:

e2=ab/(a^2-b^2)*{t1*Cosh[b*x]-t2*Cosh[ax]-a*Sinh[bx]+b*Sinh[ax]}

t1 and t2 are defined as follow:

t1=a/Tanh[b*Pi]

t2=b/Tanh[a*Pi]

The parameters a,b are both positives.

x varies between 0 and Pi

I would like to calculate 

Integrate[e2*Log[e2],x]

Mathematica seems to have some problems doing this. After hours, it
returns the result unevaluated.
If anyone as some spare time and fell like giving it a try...any help,
question and comments are welcomed!

Yours 
Rob.


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