integration in CAS

[parisse]

Fixed in source (infinite recursion). By the way, please report CAS bugs by commandlines instead of screen capture, it's much more efficient, for example here
int(1/sin(x^-1))
As a consequence int(sin(sqrt(x)^-1)) will not be integrated automatically anymore, that's the price to pay to avoid an infinite recursion. You will have to do the change of variable explicitly:
assume(t>0); a:=subst(int(sin(sqrt(x)^-1)),x=1/t^2); b:=subst(a,t=1/sqrt(x))