Mathematics

Evaluate $$\int \sin x \sin(\cos x) \ dx$$.


SOLUTION
$$I=\sin x \sin(\cos x) \ dx$$

Put $$\cos x=t$$

$$-\sin x \ dx =dt$$

$$\int \sin x.\sin (\cos x) \ dx=-\int \sin t \ dt$$

$$I=\cos t+C$$

$$I=\cos (\cos x)+C$$
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Subjective Medium Published on 17th 09, 2020
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