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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