Given that $\displaystyle 1 \le \tan(x) \le \sqrt{3}$ on $\displaystyle \left[\frac{\pi}{4}, \frac{\pi}{3}\right]$ to estimate $\displaystyle \int_{\pi/4}^{\,\pi/3} {\tan(x)}\, dx\,.$

$\displaystyle \le \int_{\pi/4}^{\,\pi/3} {\tan(x)}\, dx \le$