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AP® Calculus AB-BC

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Moderate

Solve for $k$ in an Integral

APCALC-UKGUZR

Given the equation:

$$\int _{ 0 }^{ 1 }{ ( 4{ x }^{ 3 }-3k{ x }^{ 2 }+6kx )\ dx=11 } $$

...determine the value of $k$.

A

$\cfrac {12}{5}$

B

$\cfrac {11}{7}$

C

$\cfrac {7}{3}$

D

$ 5$