1.

The value of \[\int_{\,0}^{\,1}{\,\frac{dx}{x+\sqrt{1-{{x}^{2}}}}}\] is                        [MP PET 2003]

A.                 \[\frac{\pi }{3}\]              
B.                 \[\frac{\pi }{2}\]
C.                 \[\frac{1}{2}\]   
D.                 \[\frac{\pi }{4}\]
Answer» E.


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