Inverse Laplace Transform

I've been reading ahead for my next semester's math courses and am on Laplace transforms now. I completely understand how to setup and evaluate the transform integral, but the inverse has me quite perplexed; the usual answer is to consult a table of transforms, but I also wish to do the reverse by hand should the need arise.

http://en.wikipedia.org/wiki/Inverse_laplace_transform

It's a helpful start but the description is a bit cryptic. Can anyone clarify?

The integral is defined on the complex plane.  It should work with any gamma (aside from the singularity condition the wiki mentions).

Singularities just refer to poles and branch cuts in complex analysis. ie 1/(x^2+1) has poles at x= +-i

Chances are you won't need to do the inverse other than by looking up from a table, especially if you're an engineering student.