Average Value of Functions
Published in
1 min readJan 21, 2019
Refer to Khan academy: Average value over a closed interval
Refer to video: Average Value of a Function on an Interval
Calculating
Favg
is just to get the actual area of the function,
and then "reform" it to a rectangle,
then divide it by its width, then you get the height.
Strategy:
- Calculate the function’s
integral
, which is theActual area of the function
- Calculate the
Interval
, which is theimaginary rectangle's width
. - Divide the area by width to get the
Average value of function
, which is the height.
Mean value theorem for integrals
It actually IS the
Average Value of Functions