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hard symbolic problem

• To: mathgroup at smc.vnet.net
• Subject: [mg73733] hard symbolic problem
• From: "Michal Kvasnicka" <michal.kvasnicka at quick.nOsPam.cz>
• Date: Tue, 27 Feb 2007 05:41:18 -0500 (EST)
• Organization: Czech Technical University

I am looking for effective method how to analytically evaluate 
multidimensional integral of the positive integer power of multivariate 
polynomial over the hypercube, where power of the polynomial and number or 
variables (dimension) may be high.

Int_{H_n} P(x)^m dx, where H_n is a n-dimensional hypercube, P(x) is a 
polynomial and m is a positive integer power.

Any relevat references on this specific topic are highly appreciated?

Michal