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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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