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: Integration Problem

  1. Jan 23, 2008 #1
    Hi! Could someone give me an idea how the following integration be carried out??

    [tex] \int \frac{r dr}{ \left( r^2 + a^2 - 2rau \right)^{3/2}} = \frac{ru - a}{a(1-u^2)\sqrt{r^2 + a^2 - 2rau}} [/tex]

    where u and a are constant.

    I have encounter such integration several times in electrodynamics.

    I can solve it in lengthy way, but can't carry out such compact result as above. Could someone help me?? Thanks a lot!!
  2. jcsd
  3. Jan 23, 2008 #2
    Look up Sadikus textbook. Or David Griffiths. You'll find a good result there.
  4. Jan 23, 2008 #3
    well, this is an integration I need to carry out when solving Griffiths' problem. The solution manual only give the result as above, it didn't take out step by step, and I don't think it is that obvious that we can solve it just by one equation XDDDD
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook