Work and Circulation

In Exercise, use the surface integral in Stokes’ Theorem to find the circulation of the field F around the curve C in the indicated direction.

Circulation around a circle F = (x2 + y)i + (x + y)j + (4y2 - z)k

C: The circle in which the plane z = -y meets the sphere x2 + y2 + z2 = 4, counterclockwise as viewed from above