If \( \int \frac{\sin ^{2} \alpha-\sin ^{2} x}{\cos x-\cos \alpha} d x=f(x)+A x+B \) then a) \( f(x)=2 \sin x, A=\cos \alpha \)

If \( \int \frac{\sin ^{2} \alpha-\sin ^{2} x}{\cos x-\cos \alpha} d x=f(x)+A x+B \) then a) \( f(x)=2 \sin x, A=\cos \alpha \) b) \( f(x)=\sin x, A=c \) c) \( f(x)=2 \sin x, A=2 \cos \alpha \) d) \( f(x)=\sin x, A=2 \)

If \( \int \frac{\sin ^{2} \alpha-\sin ^{2} x}{\cos x-\cos \alpha} d x=f(x)+A x+B \) then a) \( f(x)=2 \sin x, A=\cos \alpha \) b) \( f(x)=\sin x, A=c \) c) \( f(x)=2 \sin x, A=2 \cos \alpha \) d) \( f(x)=\sin x, A=2 \)

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