3 Definition The triple integral of f over the box B is m n | (x, y, 2) dV = lim EE wh, yih, zi) AV 1, m, n* i=1 j=1 k=1 if this limit exists. Let K be a cube in the first octant, with the measure of it's diameter being 3 and one of it's vertices being at the origin of the cartesian system. Using the definition of a triple integral, calcu late this triple integral: JUU z+ y+x*dV 3 K