How to solve ∫ 1/((a+x²)√(2a+x²)) dx

[Identity]

It's been a while since I've done much integration, could someone please give me a hint with:

$$\int \frac{1}{(a+x^2)\sqrt{2a+x^2}}\,dx$$

Thanks

 

[Dickfore]

Use Euler substitution:

$$\sqrt{2a + x^{2}} = x - t$$

 

[Identity]

Thanks :)