Comment #2 on issue 1471 by ronan.l...@gmail.com:  
integrate(1/(x**3+1),(x,0,oo)) return an expression with x
http://code.google.com/p/sympy/issues/detail?id=1471

What makes it fail is that

>>> (atan(1/x)).nseries(x, 0, 2)
Traceback (most recent call last):
   File "<input>", line 1, in <module>
   File "D:\Boulot\Projets\sympy-git\sympy\sympy\core\basic.py", line 2125,  
in nseries
     return self._eval_nseries(x, x0, n)
   File "D:\Boulot\Projets\sympy-git\sympy\sympy\core\function.py", line  
290, in
_eval_nseries
     raise PoleError("Cannot expand around %s" % (arg))
PoleError: Cannot expand around 1/x

I've made a patch that sidesteps the issue by replacing terms of a sum by  
their
finite limit when it can be obtained by simple substitution.

Attachments:
        0001-Compute-the-finite-parts-of-the-limit-of-a-sum-by-di.patch  2.2 KB

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