Consider the integrals

I1 = ∫(from π/6 to π/3) [ dx / (1 + √(tan x)) ] and I2 = ∫(from π/6 to π/3) [ √(sin x) dx / ( √(sin x) + √(cos x) ) ]

What is I₁ equal to?

Mathematics 2014 NDA Mathematics 2014 NDA 2014

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