Question

Question 4: sin x sin (cos x)

Class 12 - Math - Integrals

Answer 1

Indefinite Integral of Sinx * Sin(cosx) dx

We use the method of substitution.  t = Cos x.

The answer is : Cos [ Cos x  ] + K

$I=\int {(Sin x * Sin(Cos \: x))} \, dx\\\\Let \: Cos x = t.\ \ -sin x\ dx=dt\\\\ I= -\int {Sin(t)*t} \, dt\\\\=-(-Cos(t))=Cos(t)\\\\=Cos(Cos\ x)+ K$

Answer 2

The answer is:

Cos[cos x]+k

Hope this will help you.

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