This is absolutely untrue. Batteries are NOT covered by the warranty or AppleCare, unless they are defective. See my post #14 for links to the actual Warranty and AppleCare agreements and read it for yourself.
whos to say short battery life isn't a defect?
got mine replaced just over a year when it took a nosedive from 2 1/2 hours to 1 hour after the battery update on my old 2.33. I had 68 cycles at 34% health. Compared to my current 2.4 SR with 96 cycles and 88% health.
but you can go check for yourself, it is "covered under Apple Care Limited Warranty" if you have access their service site.
thank you!
just to note, you don't have to use all the battery all at once. You can use little by little between charges until it adds to a cycle as well.