- #1
JBrandonS
- 21
- 0
Homework Statement
Find [itex]\int_0^\infty e^{-\beta x^2 - \alpha/x^2}dx[/itex]
Homework Equations
This is from a mathematical techniques of engineering and physics course by Dr. Feynman. Methods it uses are generalizing the function, differentiation under the integral sign and complexifying.
The Attempt at a Solution
I have tried everything I know over the course of a few days. Taylor series expansion does not work. differentiation wrt alpha or beta do not work. I am unable to find a general term I can introduce to allow me to change the formula into something that is workable. I am completely at a loss here.