### Example 1

Let E be the region bounded by the parabolic cylinder

and
the planes

The projections of E onto the three coordinate planes are

The volume of E can be computed using any of the triple integrals

### Example 2

Let E be the region bounded by the parabolic cylinder

and
the planes

The projections of E onto the three coordinate planes are

The volume of E can be computed using any of the triple integrals