Evaluate Where F(x, Y, Z) = 12x I $\sigma$ Is That Portion of the Paraboloid Z = X²

Short Answer

Evaluate where F(x, y, z) = 12x i + 24j + 24x² k and $\sigma$ is that portion of the paraboloid z = x² + y² which lies above the xy-plane enclosed by the parabolas y = 1 - x² and y = x² - 1. The surface is oriented by downward unit normals.