Evaluate: `intsqrt((1-x)/(1+x))\ dx`

Explanation

I=`intsqrt((1-x)/(1+x))\ dx`


I=`intsqrt((1-x)/(1+x)**(1-x)/(1-x)\ dx`

I=`int(1-x)/(sqrt(1-x^2))\ dx`

`I=int((dx)/(sqrt(1-x^2))-int (xdx)/(sqrt(1-x^2))`

`I=sin^(-1)x-1/2(-2sqrt(1-x^2))+C`

`I=sin^(-1)x+sqrt(1-x^2)+C`