How do I integrate (x^2+a^2)^(-3/2)?

[overseastar]

I haven't done basic integrals for awhile...but just wondering how you would integrate the following functions without looking it up in the integral table.

(x^2+a^2)^(-3/2) where a is a constant.

Thanks!

 

[dextercioby]

Make the substitution x=a\sinh t and then see what you get.

 

[HallsofIvy]

The substitution x= atan(\theta) will also work.