Solving the Schrodinger Equation for Fusion Process | Integral Help

[eoghan]

Hi all!
I'm trying to solve the Schrödinger equation for a fusion process. I came up with this integral
$$\int dx\sqrt{\frac{1}{x}-1}$$
I can't see how to solve it... can you please give me an hint?

Thank you

 

[eoghan]

Ok... I applied the integration by part and now I have
$$\int dx\frac{1}{x\sqrt{x-1}}$$
I know that the result is proportional to $atan(\sqrt{x-1})$ and this is also correct by a physical point of view. The problem is how to prove that the integral is proportional to the arctangent...

 

[eoghan]

Ok... I got it! I made the substitution $y=\sqrt{x-1}$ and I finally solved the integral

 

[phyzguy]

Glad we could help!