drupal_add_library

So I have been searching around for the best way to make my jquery accordion work in my drupal site, and I think that drupal_add_library is the recommended way to go. However, I can't seem to find much information on it, or the information that I have found I cannot understand. Anyone familiar enough with drupal_add_library to give me some advice, perhaps a crash course in applying it? Alternatively, if anyone knows of a better way, or something that has worked tried and true for them, I am open to it all.

Running: Drupal 7

Thanks so much