$\int \frac{\cos 2 x-\cos 2 \alpha}{\cos x-\cos \alpha} d x$ is equal to

Question

$2(\sin x-x \cos \alpha)+c$

$2(\sin x+x \cos \alpha)+c$

$2(\sin x-2 x \cos \alpha)+c$

$2(\sin x+2 x \cos \alpha)+c$

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