Once again I feel I am not too far from the answer...

I am asked to integrate:

using an hyperbolic substitution.

I tried helping myself with this: Integration by Hyperbolic Substitution | calculuspowerup.com but I have trouble converting the hyperbolic function with the triangle.

I did:

Once again I feel I am not too far from the answer...

I am asked to integrate:

using an hyperbolic substitution.

I tried helping myself with this: Integration by Hyperbolic Substitution | calculuspowerup.com but I have trouble converting the hyperbolic function with the triangle.

I did:

That is where I'm not sure how to isolate u to get my x value and how to work with the triangle etc. I need help with that.

The good answer is:

Thank you very much in advance.