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

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

A

`(1)/(sqrt(2))tan^(-1) [(sqrt(1-x^2))/(xsqrt(2))] +C`

B

`(1)/(sqrt(2))tan^(-1)[ (x sqrt(2))/(sqrt(1-x^2))]+C`

C

`sqrt(2) tan^(-1) [ (sqrt(1-x^2))/(x sqrt(2))]+c`

D

`- sqrt(2) tan^(-1) [ (sqrt(1-x^2))/(x sqrt(2))]+c`

Verified by Experts

The correct Answer is:

B

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