Find the average value of the function on the given interval.
\[
f(x)=x^{2}-5 ;[0,3]
\]
The average value is
(Type an integer or a fraction.)
Answer
Final Answer: \(\boxed{-2}\)
Step 1 ：The average value of a function on the interval [a, b] is given by the formula: \[\frac{1}{b-a} \int_{a}^{b} f(x) dx\]
Step 2 ：In this case, we need to find the average value of the function f(x) = x^2 - 5 on the interval [0, 3].
Step 3 ：So, we need to calculate the integral of the function from 0 to 3, and then divide it by the length of the interval, which is 3 - 0 = 3.
Step 4 ：The average value of the function f(x) = x^2 - 5 on the interval [0, 3] is -2. This is the result of the integral calculation and the division by the length of the interval.
Step 5 ：Final Answer: \(\boxed{-2}\)
