AP®︎ Calculus AB: Topic 6.10 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 6.10 of AP Calculus AB – Integrating Functions Using Long Division and Completing the Square.

Questions List

Topic 6.10

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Question 1 Easy

∫x2x+1 dx=\displaystyle \int \frac{x^2}{x+1}\,dx =

Ax3/3x2/2+x+C\dfrac{x^3/3}{x^2/2+x} + C
Bln⁡∣x+1∣+C\ln|x+1| + C
Cx22−x+ln⁡∣x+1∣+C\frac{x^2}{2} - x + \ln|x+1| + C
Dx2ln⁡∣x+1∣+Cx^2\ln|x+1| + C

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 6.10: Integrating Functions Using Long Division and Completing the Square

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.3

Techniques for finding antiderivatives include rearrangements into equivalent forms, such as long division and completing the square.

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