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Evaluate: intsqrt((3-x)/(3+x))sin^(-1)(1...

Evaluate: `intsqrt((3-x)/(3+x))sin^(-1)(1/6sqrt(3-x))dx`

A

`(1)/(4){-3(cos^(-1)((x)/(3)))^(2)+2sqrt(9-x^2).cos^(-1)((x)/(3))+2x}+C`

B

`(1)/(4){-3(cos^(-1)((x)/(3)))^(2)+2sqrt(9-x^2).sin^(-1)((x)/(3))+2+C`

C

`(1)/(4){-3(sin^(-1)((x)/(3)))^(2)+2sqrt(9-x^2).sin^(-1)((x)/(3))+2x+C`

D

None of these

Text Solution

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The correct Answer is:
A
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