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  4. ∫ ( cos 2 x- cos 2 α/ cos x- cos α) d x is equal to

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

KCETKCET 2022Integrals

Solution:

$2 \int \frac{\cos ^{2} x-\cos ^{2} \alpha}{\cos x-\cos \alpha} d x=2 \int(\cos x+\cos \alpha) d x$
$=2[\sin x+x \cos \alpha]$