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Q4  Integrate the functions \sin x \sin ( \cos x )

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Given to integrate \sin x \sin ( \cos x ) function,

Let us assume \cos x =t

we get, -\sin x dx =dt

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

                                                      = -\left ( -\cos t \right ) +C 

                                                      = \cos t +C

Back substituting the value of t we get,

= \cos (\cos x ) +C

 

Posted by

Divya Prakash Singh

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