Find the average value of the function on the interval $[4,9]$.
$F\left(x\right)=\sqrt{x}+6$

Average value

In a mass-spring-dashpot system like the one in Exercise 65, the mass's position at time t is

y = 4e^(-t)(sin(t) - cos(t)), t ≥ 0.

Find the average value of y over the interval 0 ≤ t ≤ 2π.

Average Value: Find the average value of the function f(x) = 1 / (1 - sin θ) on the interval [0, π/6].

Find the average value of f(x) = (√(x + 1)) / √x on the interval [1, 3].

Find the average value of the function on the interval $[2,5]$.

$F\left(x\right)=x^3-\frac{2}{\sqrt{x}}$

Find the average value of the function on the interval $[0,1]$.

$G\left(x\right)=\frac{2}{x^2+1}$

Let $f\left(x\right)=x^2+1$. What is the average value of $f$ on the closed interval $[0,2]$?

What is the average value of the function $f\left(x\right)=x^2$ over the interval $[1,3]$?

What is the average value of the function $f\left(x\right)=x^2$ on the interval $[0,2]$?