Evalaute `int_(pi//6)^(pi//3)(sqrt((sinx))dx)/(sqrt((sinx))+sqrt((cosx)))`

Explanation

To evaluate the integral

\[ I = \int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} \, dx, \]

we can use a property of definite integrals. The property states that if \( I = \int_a^b f(x) \, dx \), then

...