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

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

A

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

B

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

C

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

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
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