Verify Stokes Theorem for the given vector field and surface, oriented with an upward pointed normal.

F = <2xy, x,y+z>, the surface z = 1 - x^2 -y^2 for x^2 +y^2<=1

For using line integrals, what should I use my c(t) as?

For the Stokes theorem part, I can calculate the curl, but again I don't know how to go from there (as in find the boundaries and dS).