AP Calculus BC 6.9 Integrating Using Substitution

Practise AP Calculus BC 6.9 by choosing effective substitutions, transforming integrands, and updating bounds correctly for definite integrals.

Exam points

Choose a substitution that converts a composite integrand into an elementary antiderivative.
Transform the differential and update both bounds before evaluating a definite integral.

[Maximum number: 1]

6. $\int_{1}^{2}(3 x-2)^{3} d x$ is equal to

$\frac{64}{3}$

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

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

$\frac{255}{4}$

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