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Fitting with a power embedded in a integration

• To: mathgroup at smc.vnet.net
• Subject: [mg88449] Fitting with a power embedded in a integration
• From: lynn <lynn0701 at gmail.com>
• Date: Mon, 5 May 2008 06:16:48 -0400 (EDT)

Dear all,

I don't know how to fit my data with a power embedded in
a integration, and can't find related answer in this forum.

This is the function I want to fit
\!\(
\*SubsuperscriptBox[\(\[Integral]\), \(w\), \(R\)]\(c*
SuperscriptBox[\(x\), \(-p\)]
FractionBox[\(x\),
SqrtBox[\(
\*SuperscriptBox[\(x\), \(2\)] -
\*SuperscriptBox[\(w\), \(2\)]\)]] \[DifferentialD]x\)\)

w is variable, R is a parameter, and c, p is parameters should
be fitted.

I can't find a way to simplified the power law to log form
so that can't avoid the trouble while fit the power law.

Thanks a lot for your help!

Lynn