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NDA Math Definite Integrals

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Consider the integrals

I_1=\int\limits_{\pi/6}^{\pi/3}\frac{dx}{1+\sqrt{\tan x}}

and

I_2=\int\limits_{\pi/6}^{\pi/3}\frac{\sqrt{\sin x}\,dx}{\sqrt{\sin x}+\sqrt{\cos x}}

[NDA I 2014]

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Question : 61 of 62

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What is

I_1 - I_2

0
$2I_1$
π
None of the above

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