AP®︎ Calculus BC: Topic 8.6 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.6 of AP Calculus BC – Finding the Area Between Curves That Intersect at More Than Two Points.

Questions List

Topic 8.6

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Question 1 Easy

Figure

The graphs of ff and gg are shown.

Which expression gives the area of the region between the graphs of ff and gg from x=0x=0 to x=5x=5?

A∫05(f(x)−g(x)) dx\displaystyle \int_0^5 (f(x)-g(x))\,dx
B∫02(g(x)−f(x)) dx+∫25(f(x)−g(x)) dx\displaystyle \int_0^2 (g(x)-f(x))\,dx+\int_2^5 (f(x)-g(x))\,dx
C∫02(f(x)−g(x)) dx+∫25(g(x)−f(x)) dx\displaystyle \int_0^2 (f(x)-g(x))\,dx+\int_2^5 (g(x)-f(x))\,dx
D∫01(f(x)−g(x)) dx+∫15(g(x)−f(x)) dx\displaystyle \int_0^1 (f(x)-g(x))\,dx+\int_1^5 (g(x)-f(x))\,dx

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 8.6: Finding the Area Between Curves That Intersect at More Than Two Points

Learning Objective: CHA-5.A

Calculate areas in the plane using the definite integral.

Essential Knowledge: CHA-5.A.3

Areas of certain regions in the plane may be calculated using a sum of two or more definite integrals or by evaluating a definite integral of the absolute value of the difference of two functions.

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