ज्ञात करें `int sqrt((1-x)/(1+x))dx`.

Explanation

`int sqrt((1-x)/(1+x))dx=int sqrt((1-x)/(1+x)xx(1-x)/(1-x))dx`
`=int (1-x)/sqrt(1-x^2)dx=int1/sqrt(1-x^2)+1/2int(-2x)/sqrt(1-x^2)dx`
`=sin^(-1)x+1/2int(dz)/sqrtz,` जहां `z=1-x^2`
`=sin^(-1)x+1/2intz^(-1//2)dz`
`=sin^(-1)x+1/2z^(1//2)/(1//2)+c=sin^(-1)x+sqrt(1-x^2)+c`