The function (liters per hour) is continuous on and represents the rate at which…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The function

p(t)

(liters per hour) is continuous on

0\le t\le 8

and represents the rate at which water flows out of a tank (positive values indicate water leaving the tank). Explain what it would mean if

\displaystyle \int_{0}^{8} p(t)\,dt

is negative, and state the units of this integral.