Impossible Integral: Integrate 1/(x^2-1)^0.5

[Badrakhandama]

1. integrate 1/(1+(xx-1)^0.5)

I.E. Integrate 1 over the sqaure root of( x^2 - 1)



2. I started by rationalizing the fraction and then i split the equation into two. I THEN let x = root2 (tanh(u)) for the 1/(xx-2) fraction, and have no idea what to do from there :S

 

[Char. Limit]

Not sure why you would do all that. Just start with:

$$\int \frac{1}{\sqrt{x^2-1}} dx$$

And use the substitution x=sec(u) or the hyperbolic trig substitution x=cosh(u). Either one will work.