The problem involves integrating the function x^(5/2) e^(-x) from 0 to infinity, with reference to the known integral result of \int_{-\infty}^{\infty}e^{-x^2/2} dx = \sqrt{2\pi}.
The discussion is ongoing, with participants exploring various methods, including Feynman's trick and partial integration. There is an acknowledgment of the potential to combine these approaches, but no consensus on a definitive method has been reached yet.
Participants are navigating the constraints of using a known integral result while attempting to integrate a different function. There is a focus on the implications of changing the integral's form and the assumptions involved in applying Feynman's trick.
Thanks a lot feynman's trick was a good read. But if suppose i did have to use the given result then, what would be the method to go forward with?Orodruin said:You are supposed to use the knowledge of the result of the given integral to find out the integral you want. Changing the integral to one with ##-x## in the exponent instead of ##-x^2/2## is a good start. I also suggest looking up Feynman's trick of differentiating an integral with respect to a parameter (not the integration variable) and changing the order of integration and differentiation.
I was just trying it i understood how it works. I should be able to use both together. Thanks a lot.Orodruin said:I would use Feynman's trick together with the given result. The alternative is doing partial integration. It all is going to boil down to evaluation of the given integral in the end.