8. Applications of Integration

Finding The Area Between Curves Expressed As Functions Of X — Quiz

Test your understanding of finding the area between curves expressed as functions of x with 5 practice questions.

Practice Questions

Question 1

What is the area between the curves $y=x^2$ and $y=4$ on the interval where they intersect?

Question 2

Which integral represents the area between $y=x$ and $y=x^2$ from $x=0$ to $x=1$?

Question 3

For the curves $y=2x+1$ and $y=x^2+1$, what are the intersection points?

Question 4

What is the area enclosed by $y=3$ and $y=x^2$ from $x=-\sqrt{3}$ to $x=\sqrt{3}$?

Question 5

Why do we usually use the top function minus the bottom function when finding area between curves with respect to $x$?