Question

Integral of $\frac{\cos 2x-\cos 2\alpha }{\cos x-\cos \alpha }$ is $2(\sin x+x\cos \alpha )$.

If this is true enter 1, else enter 0.

Answer 1

$\int \frac{\cos 2x-\cos 2\alpha }{\cos x-\cos \alpha }dx$
$=\int \frac{(2{\cos }^{2}x-1)-(2{\cos }^2\alpha -1)}{\cos x-\cos \alpha }dx=\int 2(\cos x+\cos \alpha )dx=2(\sin x+x\cos \alpha )+c$