Hi,
I'm trying to compute the integral:
integral(log(cot(x)-1),x,0,pi/4)
Sage (with version 5.4 and previous ones) tell that the integral is −∞. But the integral converges, and it is is equal to πlog(2)8.
I think this can be a bug. Maybe it is a Maxima issue, but it should be interesting to find where the bug is, and correct it, if possible.