AP Calculus AB: Area Between Curves — Drill 1

About This Drill

AP Calculus AB: Area Between Curves — Drill 1 is a Math practice drill covering Applications of Integration. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

Practice setting up and evaluating integrals to find the area between two curves, including identifying intersection points, integrating with respect to y, and working with regions defined by more than two boundaries. These AP Calculus AB skills appear on both the multiple-choice and free-response sections.

Questions in This Drill

1. The area of the region enclosed by \( y = 2x + 3 \) and \( y = x^2 \) is:
2. The area of the region enclosed by \( y = \sqrt{x} \) and \( y = \dfrac{x}{2} \) is:
3. The region bounded by \( x = y^2 \) and \( x = 4 \) can be computed by integrating with respect to \( y \). Which of the following correctly expresses this area?
4. The area of the region enclosed by \( x = y^2 \) and \( x = y + 2 \) is:
5. The area of the region bounded by \( y = e^x \), \( y = 1 \), \( x = 0 \), and \( x = 2 \) is: