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Integrate the functions: sin x ⋅ sin (cos x)

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Question

Integrate the functions:

sin x ⋅ sin (cos x)

Sum
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Solution

Let I `= int sin x sin  (cos x) dx`

Put cos x = t

= - sin x dx = dt

Hence, I `= - int sin t  dt`

= (cos t) + C

= cos (cos x) + C

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Chapter 7: Integrals - Exercise 7.2 [Page 304]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 7 Integrals
Exercise 7.2 | Q 4 | Page 304

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