If `2tan^(-1)x+sin^(-1)(2x)/(1+x^2)` is independent of `x ,` then

Explanation

if|x|`<=`1 then `2tan^(-1)x=sin^(-1)((2x)/(1+x^2))`

If x>1 then `2tan^(-1)x=pi-sin^(-1)((2x)/(1+x^2))`

If x<-1, then `2tan^(-1)x=-pi-sin((2x)/(1+x^2))`

x>1 or x<-1

Option A and B are correct.