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AP Calculus BC 6.9 Substitution Methods Question Bank

Choose a substitution, rewrite the integrand and differential, transform bounds when needed and evaluate the resulting integral.

Syllabus
Effective Fall 2025
Course
AP Calculus BC

Exam points

  • identify the governing calculus relationship in the problem
  • justify the result with symbolic, graphical or contextual evidence

Covered syllabus points

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

6.9 Integrating Using Substitution question 1

[Maximum number: 1]

6. ∫12(3x−2)3dx\int_{1}^{2}(3 x-2)^{3} d x is equal to

A

643\frac{64}{3}

B

634\frac{\mathbf{6 3}}{\mathbf{4}}

C

854\frac{\mathbf{8 5}}{\mathbf{4}}

D

2554\frac{255}{4}

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