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General expression of this definite integral ?

• To: mathgroup at smc.vnet.net
• Subject: [mg50158] General expression of this definite integral ?
• From: Jeffrey Tan <M.L.Tan at open.ac.uk>
• Date: Wed, 18 Aug 2004 01:20:07 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Dear all, 
I am looking for the general expressions of the following definite
integrals 
          Int [ x^n * sqrt[(c + x)/(c - x)]] 
and     Int [ x^n * sqrt[(c - x)/(c + x)]] 
with the integration range from a to b,
where a, b, c = constants 
n = n-th degree power

I try in several mathematical packages but only specific solutions are
computed by putting n= 0,1,2... seperately in the above expression.
Besides that, no information available from many famous integral
handbooks, e.g. W. Grobner and N. Hofreiter, Integraltafel, Zweiter Teil,
Bestimmte Integrale (Springer, Wien, 1958).

Could anyone suggests how tackle this problems ?

Looking forward your helping hands as soon as possible! Thanks! 
Cheers,
Jeffrey M.L.Tan
----------------------------------------------------------- 
Department of Materials Engineering
Faculty of Technology
The Open University
Walton Hall, Milton Keynes  MK7 6AA
Buckinghamshire
United Kingdom

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  • Re: General expression of this definite integral ?
    • From: DrBob <drbob@bigfoot.com>