8. Definite Integrals

What is the average value of the function $f\left(x\right)=x^2$ on the interval $[0,2]$?

Given a function $f\left(x\right)$, what is the average rate of change of $f\left(x\right)$ over the interval $[4,13]$?

Find the average value of the function on the interval $[2,5]$.

$F\left(x\right)=x^3-\frac{2}{\sqrt{x}}$