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



Maple:

integrate(x/(1-x^2), x);
                    1             1
                  - - ln(x - 1) - - ln(x + 1)
                    2             2
integrate(x/(x^2-1), x);
                   1             1
                   - ln(x - 1) + - ln(x + 1)
                   2             2


HTH,
Andrej

On 2/13/06, Raymond Toy <raymond.toy at ericsson.com> wrote:
>
> 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
>
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