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in Indefinite Integral by (27.3k points)
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Find : \(\int\sqrt{\frac{1-\sqrt x}{1+\sqrt x}}dx\)

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Let I = \(\int\sqrt{\frac{1-\sqrt x}{1+\sqrt x}}dx\) 

Putting \(\sqrt{x}=cos\,\theta,\) 

i.e., x = cos2θ

θ = cos-1\(\sqrt{x}\) and

dx = - 2 cos θ sin θ dθ, we get

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