1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: How to integrate x^(-a)*e^(-b/x), where a, b are constants?

  1. Feb 21, 2012 #1
  2. jcsd
  3. Feb 21, 2012 #2
  4. Feb 21, 2012 #3
    wow, you are really good.

    Yes, I wrote a simplified version of inverse-gamma. I am looking for the posterior distribution.
  5. Feb 21, 2012 #4
    Try the substitution u = b/x

    I am assuming you have 0 to infinite has bounds of the integral
  6. Feb 22, 2012 #5

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    Maple gets an answer in terms of exponentials and Whittaker M functions. Of course, you might not regard that as a "closed form", since Whittaker functions are not "elementary".

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook