5. Applications of the Definite Integral

Area Between Curves — Quiz

Test your understanding of area between curves with 5 practice questions.

Practice Questions

Question 1

If $f(x)\ge g(x)$ on the interval $[a,b]$, which definite integral gives the area between the curves?

Question 2

If a region is bounded on the left by $x=l(y)$ and on the right by $x=r(y)$ for $c\le y\le d$, which expression gives the area?

Question 3

What is the area between $y=x$ and $y=x^2$ on $0\le x\le1$?

Question 4

What is the area enclosed by $y=2x$ and $y=x^2$ on $0\le x\le2$?

Question 5

On the interval $0\le x\le2$, which curve is above the other: $y=4-x^2$ or $y=2x$?