Integrating Multiple Solid Volumes: xy-Plane, x=1, x=3

[Richardbryant]

Homework Statement

A solid is bounded by the surface z=x^2-y^2, the xy-plane, and the plane x=1 and x=3. Compute, by double integration, the volume of the the solid.

Homework Equations

The Attempt at a Solution

I know that the height is the z function and the lower limit of is x= 1 and upper limit is x=3.
Yet, i can't think of the y interval of the integral

 

[haruspex]

i can't think of the y interval of the integral

You know z>0. Since x has limits, one of your equations puts limits on y.