AP®︎ Calculus BC: Topic 6.9 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 6.9 of AP Calculus BC – Integrating Using Substitution.

Questions List

Topic 6.9

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Question 1 Easy

∫e−2x dx=\displaystyle \int e^{-2x}\,dx =

A12e−2x+C\frac{1}{2}e^{-2x}+C
B−2e−2x+C-2e^{-2x}+C
C−12e−2x+C-\frac{1}{2}e^{-2x}+C
D2e−2x+C2e^{-2x}+C

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 6.9: Integrating Using Substitution

Learning Objective: FUN-6.D

For integrands requiring substitution or rearrangements into equivalent forms: (a) Determine indefinite integrals. (b) Evaluate definite integrals.

Essential Knowledge: FUN-6.D.1

Substitution of variables is a technique for finding antiderivatives.

Essential Knowledge: FUN-6.D.2

For a definite integral, substitution of variables requires corresponding changes to the limits of integration.

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