Solving the Schrodinger Equation for Fusion Process | Integral Help

[eoghan]

Hi all!
I'm trying to solve the Schrodinger equation for a fusion process. I came up with this integral
<br /> \int dx\sqrt{\frac{1}{x}-1}<br />
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
<br /> \int dx\frac{1}{x\sqrt{x-1}}<br />
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!