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Evaluate: int sin ^(-1) sqrt((x)/(x+a))...

Evaluate: ` int sin ^(-1) sqrt((x)/(x+a)) dx `

A

`(a+x)tan^(-1)sqrt(((x)/(a)))+ C`

B

`(a) sin^(-1)sqrt(((x)/(a))) -sqrt(ax) + c`

C

`(a+x)tan^(-1)sqrt(((a)/(x)))- sqrt((a)/(x)) + C`

D

`(a+x)tan^(-1) sqrt(((x)/(a)))-sqrt(ax) + c`

Text Solution

Verified by Experts

The correct Answer is:
D
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