Evaluate the surface integral S F dS for the given vector field F and the oriented surface S. In other words, find the

Evaluate the surface integral ʃʃ_S F • dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.

F(x, y, z) = 2x i - y j + z³ k, S is the part of the cone z = √x² + y² between the planes z = 1 and z = 3 with downward orientation