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integration frustration

• To: mathgroup at smc.vnet.net
• Subject: [mg91893] integration frustration
• From: Replacedwings <cabaret_voltaire at hotmail.com>
• Date: Fri, 12 Sep 2008 05:26:08 -0400 (EDT)

Dear All,

I have a question about a particular integral:

 
 i[r]= Integrate[(L-z)(f[Sqrt[z^2+r^2]] -f[z]),{z,0,L}]


Assumptions->f[0]==0, f[r]>0 if r>0.

Is i[r]>=0 for all r?

Any Ideas?

Help!

TIA,

Chris

• Follow-Ups:
  • Re: integration frustration
    • From: Daniel Lichtblau <danl@wolfram.com>