[Maxima] bug in integrate, is anyone working on this?

[Richard Fateman]

sin(x)^2/sqrt(1-cos(x)^2);

integrate(%,x,-1,1)  returns 0, but the integrand is
always non-negative.

integrate(%,x)  returns cos(x)  which is not
right either.

Mathematica gives  -cot(x)*sqrt(sin(x)^2)   :)

This kind of integration problem is not new.


RJF