If ∫ 1/x√((1-x)/(1+x)) dx = g(x) + c, g(1) = 0, then g(1/2) is equal to:

Question

If \(\int\frac1x\sqrt{\frac{1-x}{1+x}}\) dx = g(x) + c, g(1) = 0, then g(1/2) is equal to: 

Answer 1

Correct option is

\(\int\frac1x\sqrt{\frac{1-x}{1+x}}\) dx = g(x) + c

Put x = cos 2θ

dx = – 2sin2θ · dθ