AP®︎ Calculus BC: Topic 6.12 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 6.12 of AP Calculus BC – Integrating Using Linear Partial Fractions.


Questions List

Topic 6.12

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Question 1 Easy

Which of the following is the correct form of the partial fraction decomposition of 5x2−2x−15\frac{5}{x^2-2x-15}, where AA and BB are constants?

AAx−5+Bx+3\frac{A}{x-5}+\frac{B}{x+3}
BAx+5+Bx−3\frac{A}{x+5}+\frac{B}{x-3}
CAx−15+Bx+1\frac{A}{x-15}+\frac{B}{x+1}
DAxx−5+Bx+3\frac{Ax}{x-5}+\frac{B}{x+3}

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 6.12: Integrating Using Linear Partial Fractions

Learning Objective: FUN-6.F

For integrands requiring integration by linear partial fractions: (a) Determine indefinite integrals. (b) Evaluate definite integrals.

Essential Knowledge: FUN-6.F.1

Some rational functions can be decomposed into sums of ratios of linear, nonrepeating factors to which basic integration techniques can be applied.