Statement − I : The value of the integral $\int\limits_{\pi/6} ^{\pi/3} \large\frac{dx}{1+\sqrt{\tan x}}$ is equal to $\large\frac{\pi}{6}$. Statement − II : $\int\limits_{a}^{b} f(x)dx =\int \limits_a^b f(a+b-x)dx$

Question

$\begin{array}{1 1} \text{(1) Statement − I is true; Statement − II is true; Statement − II is a correct explanation for Statement − I.} \\ \text{(2) Statement − I is true; Statement − II is true; Statement − II is a not a correct explanation for Statement − I.} \\ \text{(3) Statement − I is true; Statement − II is false.} \\ \text{(4) Statement − I is false; Statement − II is true. } \end {array}$