Re: variable dimension of domain of integration
- To: mathgroup at smc.vnet.net
- Subject: [mg115999] Re: variable dimension of domain of integration
- From: Achilleas Lazarides <achilleas.lazarides at gmx.com>
- Date: Fri, 28 Jan 2011 06:17:14 -0500 (EST)
This works:
Clear@f;
f[n_] := NIntegrate[
Evaluate[Sqrt@Sum[x[i]^2, {i, 1, n}]],
Evaluate[Sequence~Apply~Table[{x[i], 0, 1}, {i, 1, n}]]
];
but perhaps it's one of the inelegant ways...
On Jan27, 2011, at 9:41 AM, Ulvi Yurtsever wrote:
> Consider the function $f(n) = \int_{{0,1}^n}
> \sqrt{\sum_{i=1}^{n} {x_i}^2} dx_1 ... dx_n$.
> How would you define a mathematica function
> F[n_] (using NIntegrate) that computes this
> integral over the n-cube? I can think of several
> inelegant solutions; but surely there are neat
> ways of doing things of this sort...
>
>
> thanks
>