Use Stokes' Theorem to evaluate

C is the boundary of the part of the paraboloid in the first octant.

The formula for stoke's theorem is

I went ahead and found the curl which is (2y-2x)k. So, when i set up the double integral, so far i have

However, im having trouble with figuring out the bounds. I think this is a sphere, so does that mean i have to use spherical coordinates? Is there a simpler way because im really not good with spherical coordinates! Thanks.