Hmmm....I'm strictly no authority on the subject, but I guess it wouldn't hurt- especially if you mentioned that you couldn't send it earlier but would like to submit it now.
Maybe it would help if you just include a couple of books you really liked and wrote a short para on each and how they've influenced your way of thinking? Make it clear that reading's more to you than just skimming through a pile of books to prove how 'knowledgeable' you are =D
Good luck! =D