$$\displaystyle\int{ \frac{ \sqrt{ { x }^{ 2 } -1 } }{ { x }^{ 2 } } }d x$$
$\ln(|\sqrt{x^{2}-1}+x|)-\frac{\sqrt{x^{2}-1}}{x}+С$
$\frac{\sqrt{x^{2}-1}}{x^{2}}$
$|x|\geq 1$
