Integration help

I would use a hyperbolic function to make a substitution to get rid of the square root.

 

[tex] x = \sinh t [/tex] would be the obvious candidate.

 

You'll have to make the calculations on your own. I just gave you a point to start from, assuming you have knowledge of hyperbolic functions. Another option is to use integration by parts.

 

Yes, hyperbolic substitution would work here.

 

Xtreme, why don't you try differentiating your answer to check whether if it is correct?
And answering your question about derivatives: Yes, they are both correct.