Comment #30 on issue 565 by [email protected]: integrate does not ommit null terms and simplify fails to handle them afterwards.
http://code.google.com/p/sympy/issues/detail?id=565

This gives much shorter result now:

In [5]: integrate(-1./2 * x * sin(n * pi * x/2), [x, -2, 0])
Out[5]:
        n
2.0⋅(-1)
─────────
   π⋅n

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