\( \int \frac{2 \sin 2 x-\cos x}{6-\cos ^{2} x-4 \sin x} d x= \)
(A) \( \log \left|\sin ^{2} x-4...
\( \int \frac{2 \sin 2 x-\cos x}{6-\cos ^{2} x-4 \sin x} d x= \)
(A) \( \log \left|\sin ^{2} x-4 \sin x+5\right|+7 \tan ^{-1}(\sin x-2)+C \)
(B) \( 2 \log \left|\sin ^{2} x-4 \sin x+5\right|+7 \tan ^{-1}(\sin x-2)+C \)
(C) \( 2 \log \left|\sin ^{2} x-4 \sin x+5\right|+C \)
(D) \( \log \left|\sin ^{2} x+4 \sin x+5\right|+7 \tan ^{-1}(\sin x-2)+C \)
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