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, z³, 0], C the boundary curve of the cylinder x² + y² = 1, x ≥ 0, y ≥ 0, 0 ≤ z ≤ 1