class 12 maths integrals

$\sin x\sin \left( {\cos x} \right)$

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📘 Integrals NCERT,ex.7.2,Q.4,Page 304 SA

$\sin x\sin \left( {\cos x} \right)$

Official Solution

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.: Let$I = \int {\sin x\sin \left( {\cos x} \right)dx}$

Put $\cos x = t$ $\Rightarrow$ $- \sin xdx = dt$

$\therefore$ $I = - \int {\sin \,t\,dt} = \cos t + C = \cos \left( {\cos x} \right) + C$

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