Calculus
Advanced

Average Value of a Function

Mean value of a continuous function over an interval.

Formula

fˉ=1b−a∫abf(x) dx\bar{f} = \frac{1}{b-a}\int_a^b f(x)\,dx

Variables

a,bInterval

Example

Area divided by width

Did You Know?

The average value of a function is the height of the rectangle with the same area — the mean of infinitely many points.

integral