Comment #71 on issue 1695 by asmeurer: integral of a piecewise function gives bad result
http://code.google.com/p/sympy/issues/detail?id=1695
Maple can generally handle Piecewise integrals. They have an algorithm implemented, which I believe is the one from issue 2128 (or something similar). So these things are doable, but certainly non-trivial.
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