ConceptConceptDocsDocuments

AP Calculus AB 6.8 Antiderivative Review

Review AP Calculus AB 6.8 by reversing derivative rules, selecting correct antiderivative forms, and retaining the constant of integration.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • determine antiderivatives by reversing known derivative rules
  • write indefinite integrals with a correct constant of integration

Covered syllabus points

FUN-6.C—Determine antiderivatives of functions and indefinite integrals, using knowledge of derivatives

6.8 Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation question 1

[Maximum number: 1]

∫(12x+2x)dx=\int\left(\frac{1}{2 x}+2^{x}\right) d x=

A

−12x2+2xln⁡2+C-\frac{1}{2 x^{2}}+2^{x} \ln 2+C

B

12ln⁡∣x∣+2x+1x+1+C\frac{1}{2} \ln |x|+\frac{2^{x+1}}{x+1}+C

C

12ln⁡∣x∣+2xln⁡2+C\frac{1}{2} \ln |x|+\frac{2^{x}}{\ln 2}+C

D

ln⁡∣2x∣+2xln⁡2+C\ln |2 x|+\frac{2^{x}}{\ln 2}+C

All question bank results loaded