Solve the following :
`tan^(-1)((1-x)/(1+x))=1/2 tan^(-1) x (x gt0)`

Solve the following tan^-1(frac(1-x)(1+x))=1/2tan^-1x

Solve the following tan^(-1)2x+tan^(-1)3x=pi/4

Integrate the following: tan^-1sqrt((1-x)/(1+x))

Prove that tan^(-1)((sqrt(1+x^2)-1)/x)=1/2 tan^(-1)x .

Solve for x if, tan^-1(frac(1+x)(1-x))=2tan^-1x

Prove the following : tan^(-1)sqrtx=1/2 cos^(-1)((1-x)/(1+x)),x in[0,1]

Prove that cos^(-1)((1-x^(2n))/(1+x^(2n)))=2 tan^(-1)x^n

Find the values of the following tan frac(1)(2) [sin^(-1)((2x)/(1+x^2))+ cos^(-1) ((1-y^2)/(1+y^2))],|x| lt 1, y gt 0 and x y lt 1

Prove that sin[2tan^(-1){sqrt((1-x)/(1+x))}]=sqrt(1-x^2)

int_1^x tan ^(-1) x d x