# Evaluating multiple integral over a vector

I am trying to find an easy way to evaluate the following multiple integral from a question I asked on math.stackexchange. As you can see, the integral is over a vector of multiple variables. Is there a way to do this with Mathematica, and what about wolframalpha.com?

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The only thing that might make this integral non-trivial is the shape of the integration domain, which you haven't specified. So it's hard to answer explicitly. –  Jens Aug 2 '13 at 1:26
I think the "..." makes it a bit of a challenge, too. What's supposed to go in there? –  Michael E2 Aug 2 '13 at 2:34
@MichaelE2 parameters theta subscripted from 1 to 27. –  Identity Aug 2 '13 at 3:08
Between $\theta_{15}^{97}$ and $\theta_{27}^{b_27}$, is the factor $\theta_1\cdots\theta_{27}$ or $\theta_{16}\cdots\theta_{26}$? With exponents? all positive? or nonnegative? and constant? -- What not use the power rule, which is what Jens implied? –  Michael E2 Aug 2 '13 at 11:10