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Find the integrals of the function: sin2x1+cosx - Mathematics

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Question

Find the integrals of the function:

`(sin^2 x)/(1 + cos x)`

Sum

Solution

Let `I = int (sin^2 x)/(1 + cos x)  dx`

`= int (1 - cos^2 x)/(1+ cos x)  dx`

`= int ((1 - cos x) (1 + cos x))/(1 + cos x)  dx`

`= int (1 - cos x) dx`

`= int 1  dx - int cos x  dx`

`= x - sin x + C`

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Chapter 7: Integrals - Exercise 7.3 [Page 307]

APPEARS IN

NCERT Mathematics [English] Class 12
Chapter 7 Integrals
Exercise 7.3 | Q 12 | Page 307

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