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Find the integrals of the function: sin−1 (cos x)

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Question

Find the integrals of the function:

sin−1 (cos x)

Sum
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Solution

Let `I - int sin^-1 (cos x) dx`

`int sin^-1 [sin (pi/2 - x)] dx`

`= int (pi/2 - x) dx`

`= pi/2 int dx - int x dx`

`= (pix)/2 - x^2/2 +C`

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Chapter 7: Integrals - Exercise 7.3 [Page 307]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 7 Integrals
Exercise 7.3 | Q 21 | Page 307

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