integrate(x/(1-x^2),x)?



Maxima currently says

integrate(x/(1-x^2),x) ->
-log(1-x^2)/2

and

integrate(x/(x^2-1),x) ->
log(x^2-1)/2

What does Macsyma (or Mathematica/Maple) say for these integrals?

I think this is the source of the integration bug 1374700.

Ray