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: Integral of Bessel function

  1. Aug 11, 2014 #1
    1. The problem statement, all variables and given/known data

    I've been given that the Bessel function

    ∫(J3/2(x)/x2)dx=1/2π (the integral goes from 0 to infinity).

    2. Relevant equations

    ∫(J3/2(ax)/x2)dx,

    where a is a constant.

    3. The attempt at a solution

    Is the following correct?

    a2∫(J3/2(ax)/(ax)2)dx=a2/2π

    (This is just a part of a triple integral. We are not asked nor expected to bother too much with the Bessel function, since it is not the focus of the problem).
     
  2. jcsd
  3. Aug 11, 2014 #2

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    No, I think one of the 'a's goes away. Do the substitution again: y = ax. With a>0.
     
  4. Aug 11, 2014 #3
    Oh, of course. I then get dx=dy/a, which solves the problem for me. Thanks!
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Loading...