6.5 Integral Applications
Average Value of a Function: Overview
For a continuous function over the interval [ ], average value of the function is calculated by:
Statistically, “average” (or “mean”) means adding up all the data points (here represented by for
each subinterval [ ] ), then dividing by the number of data points (number of rectangles under
the curve , and as it is set equal to the integral based on the definition).
, so .[ ] [