Another question I'm having trouble with is:

"Find the flux ofF(x,y,z) = -yi+ xj+ (6z^2)kout of the closed surface S, bounded by the paraboloids z = 4 - x^2 - y^2 and z = x^2 + y^2."

I can get the graph drawn easily enough, I just can't figure out what the limits of my integration should be.

Any assistance would be much appreciated.