8. Applications of Integration

Finding The Area Between Curves That Intersect At More Than Two Points — Quiz

Test your understanding of finding the area between curves that intersect at more than two points with 5 practice questions.

Read the lesson first

Practice Questions

Question 1

When finding the area between two curves that intersect more than once, what is the most important first step?

Question 2

What does the definite integral $\int_a^b (\text{top} - \text{bottom})\,dx$ represent in this topic?

Question 3

Two curves intersect at $x=1$, $x=3$, and $x=5$. Why should the area usually be found by adding separate integrals on $[1,3]$ and $[3,5]$?

Question 4

If $f(x)$ is above $g(x)$ on $[2,4]$, which expression gives the area between the curves on that interval?

Question 5

Suppose two curves intersect at $x=0$, $x=2$, and $x=4$, and one curve is above the other on $[0,2]$ but below it on $[2,4]$. What is the correct total area formula?