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AP Calculus BC 6.8: Antiderivatives and Indefinite Integrals

Practise AP Calculus BC 6.8 questions by rewriting integrands, applying reverse derivative rules and including the constant of integration in antiderivatives.

Syllabus
Effective Fall 2020
Course
AP Calculus BC

Exam points

  • Rewrite rational powers before applying the power rule and restoring the constant of integration.
  • Reverse exponential derivative rules, including the factor of ln a, to integrate a^x.

FUN-6.C—Determine antiderivatives of functions and indefinite integrals, using knowledge of derivatives question 1

[Maximum number: 1]

∫1ttdt=\int \frac{1}{t \sqrt{t}} d t=

A

−2t−1/2+C-2 t^{-1 / 2}+C

B

−32t−5/2+C-\frac{3}{2} t^{-5 / 2}+C

C

−25t−5/2+C-\frac{2}{5} t^{-5 / 2}+C

D

2t1/2ln⁡t+C2 t^{1 / 2} \ln t+C

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