Comment #2 on issue 1280 by fredrik.johansson: integrate(1/((a-x)*(b-x)),  
x) is giving too complex results (probably correct)
http://code.google.com/p/sympy/issues/detail?id=1280

To get the same result as Mathematica, one just needs to do a partial  
fraction
decomposition and integrate each term. SymPy is able to integrate the  
terms. The
problem is that apart() hangs on 1/((a-x)*(b-x)*(c-x)), and in  
1/((a-x)*(b-x)) it
returns a too complicated result. This really needs to be fixed; partial  
fractions of
this form are easy and should be lightning fast.

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