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int(dx)/(sqrt(1-x^2)(9+(sin^(-1)x)^2))=...

`int(dx)/(sqrt(1-x^2)(9+(sin^(-1)x)^2))=`

A

`3tan^(-1)((sin^(-1)x)/(3))+c`

B

`3cot^(-1)((sin^(-1)x)/(3))+c`

C

`(1)/(3)tan^(-1)((sin^(-1)x)/(3))+c`

D

`(1)/(3)cot^(-1)((sin^(-1)x)/(3))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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