`intcot^(- 1)sqrt((1-x)/(1+x))`

intcot^(-1)sqrt((1+cos2x)/(1-cos2x))dx is:

intcot^(-1)sqrt((1+cosx)/(1-cosx))dx=

intcot^(-1)((1+sinx)/(cosx))dx=

Evaluate: (i) intcot^(-1)((sin2x)/(1-cos2x))\ dx (ii) intsin^(-1)((2tanx)/(1+tan^2x))\ dx

int_( then )^( If )sqrt((1-x)/(1+x))(dx)/(x)=log((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))+2f(x)+C

-int(1)/(sqrt(1-x)+sqrt(1+x))(-(1)/(2sqrt(1-x))+(1)/(2sqrt(1+x)))xdx

int sqrt((x)/(1-x))dx is equal to sin^(-1)sqrt(x)+C(b)sin^(-1){sqrt(x)-sqrt(x(1-x))}+C(c)sin^(-1){sqrt(x(1-x)}+C(d))sin^(-1)sqrt(x)-sqrt(x(1-x))+C

tan^(-1)((sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x)))