Find the flux of the vector field F(x,y,z) = xi+yj+zk through the surface which is part of the paraboloid S1 = {(x,y,z) \in IR^3; z=x^2+y^2} located below the plane S2 = {(x,y,z) \in IR^3; z=1}, whereas the vector normal to the surface points to the external side of the paraboloid

my parameterization:
r(t) = (vcosu,vsinu,v))

\frac{\partial r}{\partial u} x \frac{\partial r}{\partial v} = (vcosu, vsinu, -vsin^2u-vcos^2u)

Now what do I need?