Does $\int_0^{\frac {\pi}{2}}{\sqrt {\sin x\tan x}}\space dx $ diverge or converge

Question

I am trying to decide if this integral converges or diverges, I got stuck calculating, so I tried to use the comparison test, but I'm not sure of which function to choose, I would appreciate any hints and help in how to choose which function to compare my integral with, or any tips in general about how to approach these questions.
Thanks in advance.

Answer 1

Hint:\begin{align}\lim_{x\to\pi/2^-}\frac{\sqrt{\sin(x)\tan(x)}}{\frac1{\sqrt{\pi/2-x}}}&=\lim_{x\to\pi/2^-}\frac{\sin(x)}{\sqrt{-\frac{\cos(x)}{x-\pi/2}}}\\&=1.\end{align}