Comment #6 on issue 2010 by mattpap: Integration with the full Risch Algorithm
http://code.google.com/p/sympy/issues/detail?id=2010

This is a deeper problem, because in polys11 I get:

In [1]: var('a,b')
Out[1]: (a, b)

In [2]: integrate(1/((a-x)*(b-x)), x)
Out[2]: 0

which isn't a very convincing result. The reason is the same: odd behavior concerning rational function domains. Currently domains in polys are both the strongest and the weakest part of the module (prospective usability and speed vs. weak current implementation and lack of tests).

As to is_zero, this might be a separate issue, because I had problems with this property previously (there is an issue where is_zero hangs on a very simple polynomial).

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