Water leaks out of a tank through a square hole with 1.5-inch sides. At time $t$ (in seconds) the velocity of water flowing through the hole is $v$ ft/sec (where $v$ is a function of time, $t$). Write a definite integral that represents the total amount of water (in cubic feet) lost in the first minute.

Total loss $= \int_a^b\,$
where $a =$
and $b =$