MHB Integrating the Square Root of a Fraction with a Radical

[karush]

$\tiny{10.08.06}\\$
$\textsf{Evaluate the function}$
\begin{align*}\displaystyle
I_5&=\int \sqrt{\frac{x^2-4}{x}} \, dx
\end{align*}

ok, I thought this would be a simple U subst, but nothing looks convienent

 

[Greg]

W|A gives a non-elementary result.

 

[karush]

I presume when $x=0$ it is undefined

 

[Dethrone]

Are you sure you did not mean $\int \frac{\sqrt{x^2-4}}{x}\,\mathrm{d}x$?