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Re: variable dimension of domain of integration


On Jan 27, 12:41 am, Ulvi Yurtsever <a... at b.c> 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

F[n_] := NIntegrate[Sqrt@Sum[x[i]^2,{i,n}], Evaluate[
                    Sequence@@Table[{x[i],0,1},{i,n}]]]


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