Mathematics

Problem

Statement-I : The value of the integral

\int_{\pi/6}^{\pi/3} \frac{dx}{1 + \sqrt{\tan x}}

is equal to

\frac{\pi}{6}

. [JEE-MAIN-2013] Statement-II :

\int_{a}^{b} f(x) dx = \int_{a}^{b} f(a+b-x) dx

. 1. Statement-I is true, Statement-II is true; Statement-II is a correct explanation for Statement-I. 2. Statement-I is true, Statement-II is true; Statement-II is not a correct explanation for Statement-I. 3. Statement-I is true, Statement-II is false. 4. Statement-I is false, Statement-II is true.

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