How to do integration symbolically with cauchy principal values

Discussion in 'Mathematica' started by simon yang, Apr 11, 2006.

  1. simon yang

    simon yang Guest

    Dear everyone,
    I meet a cauchy integration when calculating optical functions with
    Kramers-Kronig integration:
    \!\(\(ϵ\_1\) \((x)\) =
    constant + \(2\/π\) P \(∫\_x0\%∞\(\( 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++
    simon yang, Apr 11, 2006
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