Help with Multiple Integrals
- To: mathgroup at smc.vnet.net
- Subject: [mg19468] Help with Multiple Integrals
- From: Andrew Wang <ke at bu.edu>
- Date: Sat, 28 Aug 1999 15:53:01 -0400
- Organization: Boston University
- Sender: owner-wri-mathgroup at wolfram.com
I'm new to Mathematica and I need to solve a summation in which each term has a different number of multiple integrals. To be more specific, my n-th term should look like: g[n] NIntegrate[ f[n], {x1, a,b},{x2, x1, b}, ... , {xn, xn-1,b}]; a,b are constants and f[n] is an expression that involves x1, x2, ..., xn (so each term has a different number of integration variables), with n going from 1 to N. I could define all the N terms of my summation but since N is really large, it's unfeasible to do it manually. Is there any way of defining a function in Mathematica to build and evaluate each term given n? I could also write a script not in Mathematica to build all the terms and save them on a file to be read from Mathematica, but is it possible to do it in Mathematica (to use string manipulation to "build" the n-th term and then evaluate it)? Thanks, Wang Ke
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