\[\int_{{}}^{{}}{\frac{\cos 2x-\cos 2\alpha }{\cos x-\cos \alpha }}dx=\] [MP PET 1994]

\[\int_{{}}^{{}}{\frac{\cos 2x-\cos 2\alpha }{\cos x-\cos \alpha }}dx=

1.	\[\int_{{}}^{{}}{\frac{\cos 2x-\cos 2\alpha }{\cos x-\cos \alpha }}dx=\] [MP PET 1994]
A.	\[2[\sin x+x\cos \alpha ]+c\]
B.	\[2[\sin x+\sin \alpha ]+c\]
C.	\[2[-\sin x+x\cos \alpha ]+c\]
D.	\[-2[\sin x+\sin \alpha ]+c\]
Answer» B. \[2[\sin x+\sin \alpha ]+c\]