Set up the integral$($s$)$ that can be used to determine the amount of work done.

Do not evaluate the integral$($s$).$

A swimming pool has a rectangular base $12$ ft long and $24$ ft wide. The sides are $7$ ft high, and the pool is full of water. How much work will it take to puinp out all the water $2$ feet over the top of the pool. $($water weighs $62\mathrm{.}4l\frac{b}{f}{t}^3)$