A cattle trough has a trapezoidal cross section with a height of $1$ m and horizontal sides of

length $0\mathrm{.}5$ m and $1$ m $.$ Assume the length of the trough is $10$ m $($see figure$).$ How much work is

required to pump the water out of the trough $($to

the level of the top of the trough$)$ when it is $3//4$ full?

Just set up the required definite integral and then

approximate the answer to $3$ decimal places using

"fnInt" on the graphing calculator. Include units

on your answer.

show work & steps if answer is approximately $29,859\mathrm{.}375$ Joules