What is the procedure for evaluating a double integral as described in the chapter?

To evaluate a double integral, the process involves integrating from the inside outwards. This means starting with the innermost integral and then proceeding to the outer integral. The limits of integration for each variable must be determined based on the region of integration.

The evaluation of a double integral is performed by first determining the limits for the inner integral, which is evaluated first. Once the inner integral is computed, the result is then substituted into the outer integral, which is evaluated next. This method is consistent regardless of whether the double integral is expressed in Cartesian or polar coordinates, following the same principle of inside-out evaluation.