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If x in (0, (pi)/(2)) " then " int sqrt(...

If x `in (0, (pi)/(2)) " then " int sqrt([(sin x - sin^(3) x)/(1 + sin^(3) x) ]) ` dx =

A

`(2)/(3) "cosh"^(-1) (sin" x")^((3)/(2) ) + c `

B

`(2)/(3) "sinh"^(-1) (sin" x")^((3)/(2)) + c `

C

`(2)/(3) "cosh"^(-1) (cos" x")^((3)/(2)) + c `

D

`(2)/(3) "sinh"^(-1) (cos" x")^((3)/(2)) + c `

Text Solution

Verified by Experts

The correct Answer is:
B
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