\[\int_{\,\pi /6}^{\,\pi /3}{\,\frac{dx}{1+\sqrt{\cot x}}}\] is [DCE 2001]

\[\int_{\,\pi /6}^{\,\pi /3}{\,\frac{dx}{1+\sqrt{\cot x}}}\] is

1.	\[\int_{\,\pi /6}^{\,\pi /3}{\,\frac{dx}{1+\sqrt{\cot x}}}\] is [DCE 2001]
A.	\[\pi /3\]
B.	\[\pi /6\]
C.	\[\pi /12\]
D.	\[\pi /2\]
Answer» D. \[\pi /2\]

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\[\int_{\,\pi /6}^{\,\pi /3}{\,\frac{dx}{1+\sqrt{\cot x}}}\] is [DCE 2001]

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