Comment #5 on issue 1732 by asmeurer: integrate(sin(x).series(x)) gives traceback
http://code.google.com/p/sympy/issues/detail?id=1732

Actually, I think the problems are only with the order at infinity (like is used in computer science). Here we have the order at 0, so I think we can differentiate and integrate the term inside the O. Indeed, we do differentiate order terms:

In [2]: diff(O(x**2), x)
Out[2]: O(x)

thanks to the commit:

commit 1f68145708a79aacf4dad341b36306b360602390
Author: Chris Smith <[email protected]>
Date:   Thu Feb 10 22:50:10 2011 +0545

    Order gets _eval_derivative

I seem to remember there being a discussion on the mailing list where Ondrej showed that this works, but I can't find it.

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