If \( I=\int \frac{\sin 2 x}{(3+4 \cos x)^{3}} d x \), then \( I \) equals (A) \( \frac{3 \cos x...

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If \( I=\int \frac{\sin 2 x}{(3+4 \cos x)^{3}} d x \), then \( I \) equals
(A) \( \frac{3 \cos x+8}{(3+4 \cos x)^{2}}+C \)
(B) \( \frac{3+8 \cos x}{16(3+4 \cos x)^{2}}+C \)
(C) \( \frac{3+\cos x}{(3+4 \cos x)^{2}}+C \)
(D) \( \frac{3-8 \cos x}{16(3+4 \cos x)^{2}}+C \)
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