AP®︎ Calculus BC: Topic 6.13 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 6.13 of AP Calculus BC – Evaluating Improper Integrals.


Questions List

Topic 6.13

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

Question 1 Easy

Evaluate ∫1∞3x4 dx\displaystyle \int_1^{\infty}\frac{3}{x^4}\,dx or determine that it diverges.

A−1-1
B35\frac{3}{5}
C11
DThe integral diverges.

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 6.13: Evaluating Improper Integrals

Learning Objective: LIM-6.A

Evaluate an improper integral or determine that the integral diverges.

Essential Knowledge: LIM-6.A.1

An improper integral is an integral that has one or both limits infinite or has an integrand that is unbounded in the interval of integration.

Essential Knowledge: LIM-6.A.2

Improper integrals can be determined using limits of definite integrals.