It is always advisable to try Sympy or (if installed) Fricas on integrals.

sage: integrate(f,x,algorithm='fricas')
arctan(log(x))

SymPy however:

sage: integrate(f,x,algorithm='sympy')
...
AttributeError: 'RootSum' object has no attribute '_sage_'
which would need ticket #16816 implemented to work

Regards,

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