## University Calculus: Early Transcendentals (3rd Edition)

The fundamental theorem of calculus states that the average value of any function $f(x)$ on the interval $[m,n]$ is: $\dfrac{1}{n-m}\int_m^n f'(x) dx=\dfrac{1}{n-m}[f'(x)]_m^n$ or, $=\dfrac{f(n)-f(m)}{n-m}$ This represents an average change of $f(x)$ on $[m,n]$