1.

\[\int_{0}^{1}{\sqrt{\frac{1-x}{1+x}}}\,dx\] equals          [RPET 1997; IIT Screening 2004]

A.                 \[\left( \frac{\pi }{2}-1 \right)\] 
B.                 \[\left( \frac{\pi }{2}+1 \right)\]
C.                 \[\frac{\pi }{2}\]              
D.                 \[(\pi +1)\]
Answer» B.                 \[\left( \frac{\pi }{2}+1 \right)\]


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