For each of the following, find a (piecewise) smooth parametrization of C and compute ∫C F ∙ Tds.
a) C is the curve y = x2 from (1, 1) to (3, 9), and F(x, y) = (xy, y - x).
b) C is the intersection of the elliptical cylinder y2 + 2z2 = 1 with the plane x = -1, oriented in the counterclockwise direction when viewed from far out the positive x-axis, and F(x, y, z) = (√/x3 + y3 + 5, z, x2).
c) C is the intersection of the bent plane y = |x| with the elliptical cylinder x2 + 3z2 = 1, oriented in the clockwise direction when viewed from far out the positive y-axis, and F(x, y, z) = (z, -z, x + y).