int(0)^(1//2)(dx)/((1+x^(2))sqrt(1-x^(2)...

`int_(0)^(1//2)(dx)/((1+x^(2))sqrt(1-x^(2)))` is equal to

A

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

B

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

C

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

D

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

Verified by Experts

The correct Answer is:

A

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