Calculate this line integral by Stokes’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.

F = [0 cos x, 0], C the boundary curve of y² + z² = 4, y ≥ 0, z ≥ 0, 0 ≤ x ≤ π