AP®︎ Calculus BC: Topic 8.5 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.5 of AP Calculus BC – Finding the Area Between Curves Expressed as Functions of y.

Questions List

Topic 8.5

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Q2
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Q5
Q6
Q7
Q8
Q9

Question 1 Easy

Figure

The figure shows the region RR enclosed by x=y2x=y^2 and x=2y+3x=2y+3.

Which integral gives the area of RR?

A∫19((2y+3)−y2) dy\displaystyle \int_{1}^{9}\big((2y+3)-y^2\big)\,dy
B∫−13(y2−(2y+3)) dy\displaystyle \int_{-1}^{3}\big(y^2-(2y+3)\big)\,dy
C∫−13((2y+3)−y2) dy\displaystyle \int_{-1}^{3}\big((2y+3)-y^2\big)\,dy
D∫19(y2−(2y+3)) dy\displaystyle \int_{1}^{9}\big(y^2-(2y+3)\big)\,dy

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 8.5: Finding the Area Between Curves Expressed as Functions of y

Learning Objective: CHA-5.A

Calculate areas in the plane using the definite integral.

Essential Knowledge: CHA-5.A.2

Areas of regions in the plane can be calculated using functions of either x or y.

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