Updates:
        Summary: Nondeterminism in integral of tanh(x)
        Status: Valid

Comment #4 on issue 4020 by asmeu...@gmail.com: Nondeterminism in integral of tanh(x)
http://code.google.com/p/sympy/issues/detail?id=4020

Indeed:

In [2]: b = x - log(tanh(x) + 1)

In [3]: a = -x-log(tanh(x)-1)

In [4]: a.diff(x).simplify()
Out[4]: tanh(x)

In [5]: b.diff(x).simplify()
Out[5]: tanh(x)

And I was able to reproduce the nondeterminism in master

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