Comment #3 on issue 2239 by asmeurer: Change ratint to give an answer as hyperbolic functions instead of logs.
http://code.google.com/p/sympy/issues/detail?id=2239

The logs that combine to atans are complex logarithms. The roots always appear in conjugate pairs, so the algorithm (or rule, if you will) for converting them to atans is very simple (with the atanh case, on the other hand, you can have a -log(x - 1)/2 in the result and not a log(x + 1)/2).

How were you planning on implementing this?

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