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Evaluate the integral:

$$\int \frac{3 \cos 4x}{2+\sin 4x}dx$$

A

$\cfrac{3}{4}\cot^2 4x+C$

B

$\cfrac{4}{3}\ln|2+\cos 4x|+C$

C

$-\cfrac{3}{2}\cos^2 4x+C$

D

$\cfrac{3}{4}\ln|2+\sin 4x|+C$

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