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intsqrt( ( cos x - cos^(3) x)/( 1 - cos^...

`intsqrt( ( cos x - cos^(3) x)/( 1 - cos^(3) x)) dx = ........+ C`. ( where `x in R - { (kpi)/( 2)//k in Z}` )

A

`(2)/(3) cos^(-1) ( sin^(3/2) x)`

B

`(2)/(3) tan^(-1) ( cos^(3/2) x)`

C

`- (2)/(3) sin^(-1) ( cos^(3/2) x ) `

D

`(2)/(3) sin^(-1) ( sin^(3/2) x)`

Text Solution

Verified by Experts

The correct Answer is:
C
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