Augustus Acevedo

2022-07-10

How do you find the average value of $f\left(x\right)=\frac{1}{x}$ as x varies between [2,3]?

Kiana Cantu

Expert

The average value of f on [a,b] is $\frac{1}{b-a}{\int }_{a}^{b}f\left(x\right)dx$
Explanation:
$\frac{1}{3-2}{\int }_{2}^{3}\frac{1}{x}dx=\mathrm{ln}\left(\frac{3}{2}\right)$

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