sign of expression in integration

Hello!

When I try to integrate one simple expression maxima asks me about
sign of one subexpression. But I think in this case integral limits
answer the question:

(%i2) assume(a>0,b>0);
(%o2)                           [a > 0, b > 0]
(%i3) integrate(sqrt(a/x-b),x,0,a/b);
Is  b x - a  positive, negative, or zero?

n;                                     %pi a
(%o3)                              ---------
                                   2 sqrt(b)

Does maxima do such type of checks?

thanks,
Semyon.