\(\rm \int_{\frac{\pi}{6}}^{\frac{\pi}{3}}\frac{dx}{1+\sqrt{\tan x}}\) is equal to:

1
\(\frac{\pi}{6}\)
2
\(\frac{\pi}{12}\)
3
\(\frac{\pi}{4}\)
4
More than one of the above
5
None of the above

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