2. 15.1: Double Integrals over Rectangles: Let V be the volume of the solid bounded by the xz-plane, the y z-plane, the xy -plane, the planes x = 1 and y = 2 and the surface z = f (x, y ) = (xy )^2 e^x^3 .

(a) Estimate V using a Riemann sum with 4 equal sized rectangles with x = 0.5 and y = 1 and evaluate f at the midpoints of the rectangles.

(b) Set up an iterated double integral for V .

(c) Evaluate this integral.