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 >