Calculate this line integral by Stoke's theorem for the given F and C. Assume the Cartesian coordinates to be right-handed and the z-component of the surface normal to be nonnegative. ∮ c​ F⋅r ′ ds= ?
(a) F = ⌊2y,−z,0},C: the boundary curve of y² + z² = 4, z ≧ 0 ,0 ≦ x ≦ h