The value of the integral \( \int_{0}^{1} \sqrt{\frac{1-x}{1+x}} d ...

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The value of the integral \( \int_{0}^{1} \sqrt{\frac{1-x}{1+x}} d x \) is \( \quad(2004,1 \mathrm{M}) \)
(a) \( \frac{\pi}{2}+1 \)
(b) \( \frac{\pi}{2}-1 \)
(c) \( -1 \)
(d) 1
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