1. The problem statement, all variables and given/known data 1. Find the volume of the solid which is under the surface z = 2x + y2 and above the region bounded by x = y^2 and x = y^3. 2. Relevant equations 3. The attempt at a solution So first I graphed x=y^3 and x=y^2. (http://h.imagehost.org/view/0716/Math_Problem [Broken]) I found their points of intersection (y=1 or y =0). Set up double integral as Integral from 0 to 1 Integral from y^2 to y^3 of (2x+y^2) dx dy where y^2<x<y^3 and 0<y<1 I calculated the integral and got 1/7 plus 1/6 minus 2/5 Is my work correct?