Mastering Integrals for Electrodynamics Students

[MarekS]

Two types of integrals that are coming up in electrodynamics that I don't know how to do:

(1-a(1-x^2))^(-3/2) with x as the integration variable.

And the related and more nasty:

x*(x^2-a*x+b))^(-3/2)

What is the formula for doing these?

Thanks!

 

[tiny-tim]

hi MarekS!

(try using the X² button just above the Reply box )

complete the square

 

[clamtrox]

You can do at least the first one with a clever substitution. Sometimes in this kind of problems, substituting first y = 1/x helps.