`sin^(-1)((1-tan^(2)x)/(1+tan^(2)x))`

sec^(-1)((1+tan^(2)x)/(1-tan^(2)x))

Evaluate the following integrals: int sin^(-1)((2tan x)/(1+tan^(2)x))dx

Evaluate: (i) int cot^(-1)((sin2x)/(1-cos2x))dx (ii) int sin^(-1)((2tan x)/(1+tan^(2)x))dx

sec^-1((1+tan ^2x)/(1-tan ^2 x))

simplify 2tan^(-1)((1+x)/(1-x))+sin^(-1)((1-x^(2))/(1+x^(2)))

tan ^ (- 1) ((cos x-sin x) / (cos x + sin x)) = tan ^ (- 1) ((1-tan x) / (1 + tan x))

If (x -1) (x^(2) + 1) gt 0 , then find the value of sin((1)/(2) tan^(-1).(2x)/(1 - x^(2)) - tan^(-1) x)

int(sin^(2)x*sec^(2)x+2tan x*sin^(-1)x*sqrt(1-x^(2)))/(sqrt(1-x^(2))(1+tan^(2)x))dx

If tan(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)2) then x is

Given that 0<=x<=(1)/(2), and A=tan(sin^(-1)((x)/(sqrt(2))+sqrt((1-x^(2))/(2)))-sin^(-1)x) .If B=tan(4tan^(-1)((1)/(5))-tan^(-1)((1)/(239))) ,then find the value of A " and " B