AP Calculus AB 6.10 Integrating Functions Using Long Division and Completing the Square Questions

Review AP Calculus AB 6.10 by choosing algebraic rearrangements such as long division or completing the square before finding an antiderivative.

Exam points

rearrange rational or quadratic expressions before integrating
use long division or completing the square to select a valid antiderivative

Covered syllabus points

FUN-6.D—For integrands requiring substitution or rearrangements into equivalent forms: (a) Determine indefinite integrals. (b)…—Topic 6.10

[Maximum number: 1]

$\int_{0}^{2}\frac{x^{2}-3x+7}{x+3}\,dx=$

A

Over 3

B

egative 10 plus 25 times natural log of 5 over 3

C

plus 7 times natural log of 5 over 3

D

$\frac{32}{5}\ln 5$

Table for Question 1 — AP Calculus AB

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