AP®︎ Calculus AB: Topic 6.6 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 6.6 of AP Calculus AB – Applying Properties of Definite Integrals.


Questions List

Topic 6.6

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15
Q16
Q17

Question 1 Easy

Suppose ∫05f(x) dx=8\int_0^5 f(x)\,dx=8.

What is ∫50f(x) dx\int_5^0 f(x)\,dx?

A00
B−8-8
CIt cannot be determined because the lower limit is greater than the upper limit.
D88

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB 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 6.6: Applying Properties of Definite Integrals

Learning Objective: FUN-6.A

Calculate a definite integral using areas and properties of definite integrals.

Essential Knowledge: FUN-6.A.1

In some cases, a definite integral can be evaluated by using geometry and the connection between the definite integral and area.

Essential Knowledge: FUN-6.A.2

Properties of definite integrals include the integral of a constant times a function, the integral of the sum of two functions, reversal of limits of integration, and the integral of a function over adjacent intervals.

Essential Knowledge: FUN-6.A.3

The definition of the definite integral may be extended to functions with removable or jump discontinuities.