For each of the following, evaluate ∫C F ∙ T ds.
a) C is the curve formed by intersecting the cylinder x2 + y2 = 1 with z = - x, oriented in the counterclockwise direction when viewed from high on the positive z-axis, and F(x, y, z) = (xy2, 0, xyz).
b) C is the intersection of the cubic cylinder z = y3 and the circular cylinder x2 + y2 = 3, oriented in the clockwise direction when viewed from high up the positive z-axis, and F(x, y, z) = (ex + z, xy, zey).