Upper part of sphere x^2+y^2+z^2=b^2 i.e z=>0

Vector Field F=[y^2*cos(x*z),x^3*e^(y*z),-e^(x*y*z)]

n is a normal unit vector to the surface to the upper part of the sphere with posetive k koordinate

doubble integral (z*n-curlF)*ndS

Calculate the surface integral

I have tried but ending up with but ending up with a unsolouble integral. I have used r= 0 to b and theta= o to 2*Pi

Kjell