Results 1 to 4 of 4

Math Help - d^3x in integration?

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    11

    d^3x in integration?

    So I'm working on a research project for my physics professor and although I'm a physics and math major, he's giving me a few problems with mathematical concepts that's beyond what I've taken so far. Here is the latest integral he is having me solve:

    <br />
\[ \int \frac{\sin \left(kr-atan \left(ka \right)\right)}{kr} \frac{\sin \left(k'r-atan \left(k'a \right)\right)}{k'r} {d^3r}<br />

    I haven't solved integrals that have looked like that with the d^3r term. What do you refer to this concept as (so I can know what to look for in order to study it)? And does anyone happen to have any resources where I can read up on solving them?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2
    It's the volume element in 3 dimensions, equivalent to dx dy dz, or whatever the volume element is in whatever coordinate system you're in (spherical, cylindrical, etc.). It's a Calc III topic. Here r=\sqrt{x^{2}+y^{2}+z^{2}}.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2010
    Posts
    11
    Ohhh, I see. I guess I just haven't seen the notation in a while and forgot about it. Thanks
    Follow Math Help Forum on Facebook and Google+

  4. #4
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2
    You're very welcome.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: November 3rd 2010, 12:54 AM
  2. Replies: 2
    Last Post: November 2nd 2010, 04:57 AM
  3. Replies: 8
    Last Post: September 2nd 2010, 12:27 PM
  4. Replies: 2
    Last Post: February 19th 2010, 10:55 AM
  5. Replies: 6
    Last Post: May 25th 2009, 06:58 AM

Search Tags


/mathhelpforum @mathhelpforum