Textbook Problem

True or False? In Exercises 47-50, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

If $x=\sec \theta$, then

${\displaystyle \int \frac{\sqrt{x^2-1}}{x}dx={\displaystyle \int \sec \theta \tan \theta d\theta }}$