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int0^(1//2)(dx)/((1+x^2)sqrt(1-x^2)) is ...

`int_0^(1//2)(dx)/((1+x^2)sqrt(1-x^2))` is equal to

A

`1/sqrt2tan^(-1)""sqrt2/3`

B

`2/sqrt2tan^(-1)(3/sqrt2)`

C

`sqrt2/2tan^(-1)(3/2)`

D

`sqrt2/2tan^(-1)(sqrt3/2)`

Text Solution

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The correct Answer is:
A
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