Struggling to Solve \int\sqrt{\frac{x}{x^2+2}}dx

[zillac]

Homework Statement

Find $$\int\sqrt{\frac{x}{x^2+2}}dx$$

Homework Equations

N/A

The Attempt at a Solution

Don't know where to start.
I tried a few substitution but doesn't yield anything.
It seems to be short, so any small hint will be great.
Thanks!

 

[Defennder]

The answer isn't pretty at all. Try it out at integrator.wolfram.com There's an imaginary number in it, along with "elliptical integrals", whatever that may mean. Probably there isn't any antiderivative which you can express in elementary form.