Find the areas of the surfaces generated by revolving the curves about the indicated axes. If you have a grapher, you may want to graph these curves to see what they look like.

y = (1/3)(x² + 2)^3/2, 0 ≤ x ≤ √2; y-axis. Express ds = √dx² + dy² in terms of dx, and evaluate the integral S = ∫2πx ds with appropriate limits.