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

`intsqrt((cosx-cos^(3)x)/(1-cos^(3)x))dx` is equal to a)`2/3sin^(-1)(cos^(3//2)x)+C` b)`(3)/(2)sin^(-1)(cos^(3//2)x)+C` c)`(2)/(3)cos^(-1)(cos^(3//2)x)+C`d)None of these

A

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

B

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

C

`(2)/(3)cos^(-1)(cos^(3//2)x)+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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