Chapter 13, Problem 68RE

To determine

To calculate: And interpret ${\displaystyle \underset{0}{\overset{20}{\int }}f\left(t\right)dt}$, if the rate of petroleum consumption is given by the function $f\left(t\right)$ in the equation below:

$f\left(t\right)=2.27t^3-82t^2-700t+36\text{ ;0}\le t\le 20$

Here, $t=0$ represents the start of the year 2015.