I am confused on how to change the limits of integration on this problem after making a trigonometric substitution

$$\int\_1^2 \frac{\sqrt {x^2-1}}{x}\,dx $$

I am using $x=\sec \theta$ as my substitution to remove the radical but cannot see how I am supposed to change the limits to $\theta$ since the $\operatorname{arcsec}(2)$ does not exist.