Integration Problem

  • Thread starter Psi-String
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  • #1
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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!!
 

Answers and Replies

  • #2
154
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Look up Sadikus textbook. Or David Griffiths. You'll find a good result there.
 
  • #3
79
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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
 

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