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How to do integration symbolically with cauchy principal values

• To: mathgroup at smc.vnet.net
• Subject: [mg65636] How to do integration symbolically with cauchy principal values
• From: "simon yang" <yanshanguke at 163.com>
• Date: Tue, 11 Apr 2006 04:04:50 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Dear everyone,
I meet a cauchy integration when calculating optical functions with
Kramers-Kronig integration:
\!\(\(ϵ\_1\) \((x)\) =
        constant + \(2\/Ï?\) P \(â?«\_x0\%â??\(\( ξ*\(ϵ\_2\)
\((ξ)\)\)\/\(ξ\^2 -
         x\^2\)\) \[DifferentialD]ξ\)\)
How to do it symbolically in Mathematica?
And how to develope software with Mathematica with interfaces like VC++
?

• Follow-Ups:
  • Re: How to do integration symbolically with cauchy principal values
    • From: "Carl K. Woll" <carlw@wolfram.com>