1. The problem statement, all variables and given/known data Find the volume of the region enclosed by z = 1 - y^2 and z = y^2 - 1 for x lying between 0 and 2 inclusive. 2. Relevant equations 3. The attempt at a solution I know that the y bounds are from -1 to 1, where the parabolas meet. x bounds are from 0 to 2. So would the integral simply by the double integral , x from 0 to 2, y from -1 to 1 of the (y^2 -1) - (1 - y^2)? I'm confused at this point. All the limits of integration are constant..