" [an "(1-x)/(1+x)=(1)/(2)sin^(-1)(x)/(sqrt(1+x^(2)))

tan ^(-1)""(1-x)/(1+x)""=(1)/(2) sin ^(-1)""(x)/(sqrt(1+x^(2)))

(tan^(-1)(1-x))/(1+x)=(1)/(2)(sin^(-1)x)/(sqrt(1+x^(2)))

sin^(-1)x+sin^(-1)sqrt(1-x^(2))

solve : sin ^(-1) ""((x)/(sqrt(1+x^(2))))-sin ^(-1)((1)/(sqrt(1+x^(2))))= sin ^(-1) ((1+x)/(1+x^(2)))

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

tan^(-1)sqrt((1-x)/(1+x))+sin^(-1)2x sqrt(1-x^(2))=(5 pi)/(12) if x=

int_(-1)^(1)(x)/(sqrt(1-x^(2)))*sin^(-1)(2x sqrt(1-x^(2)))dx is equal to

solve : tan^(-1) sqrt(x(x+1))+sin ^(-1) (sqrt(1+x+x^(2)))=(pi)/(2)

If y=sin^(-1)(xsqrt(1-x)+sqrt(x)sqrt(1-x^2)) and (dy)/(dx)=1/(2sqrt(x(1-x)))+p , then p is equal to 0 (b) 1/(sqrt(1-x)) sin^(-1)sqrt(x) (d) 1/(sqrt(1-x^2))

y=sin^(-1)((x)/(sqrt(1+x^(2))))+cos^(-1)((1)/(sqrt(1+x^(2))))