5.4 Further Applications of Definite Integrals
1. Write the integration formula to find the average value of $f$ from $a$ to $b$
2. Given functions $f(x) \ge g(x)$ on $[a, b]$, write the integration formula to find the area
bound between the curves.
3. Use the graph below to answer the questions that follow.
Shade the area bound between $f(x)$ and $g(x)$.
On the interval $[-5, 0]$, which of $f$ or $g$ is greater?
On the interval $[0, 5]$, which of $f$ or $g$ is greater?
Write the definite integral to find the area on the interval $[-5, 0]$.
Write the definite integral to find the area on the interval $[0, 5]$.
Write the sum of the definite integrals that would be used to find the total area
between $f$ and $g$.