Comment #1 on issue 2642 by asmeurer: Complicated multiple integral
http://code.google.com/p/sympy/issues/detail?id=2642
The symbolic output of WolframAlpha is a little different, but the
numerical result is the same. If your symbolic result is correct, it's
actually a little nicer because it doesn't have any unnecessary sqrt(-1)
terms
http://www.wolframalpha.com/input/?_=1313610224120&i=integrate(sin(x*y*z)%2c+(x%2c+0%2c+pi)%2c+(y%2c+0%2c+pi)%2c+(z%2c+0%2c+pi)).&fp=1&incTime=true
limit() should automatically just check the relevant part of a piecewise
expression.
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