Updates:
Status: Fixed
Comment #2 on issue 1076 by [email protected]:
integrate(sqrt(r**2-x**2), (x, -r, r)) cannot do it.
http://code.google.com/p/sympy/issues/detail?id=1076
In [3]: r = Symbol('r', positive=True)
In [4]: 2*integrate(sqrt(r**2-x**2), (x, -r, r))
Out[4]:
2
π⋅r
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