That's an American school, isn't it? They're speaking FAA licences, I'm not sure that's what you want..
Anyway, the difference is rather easy:
modular - you get your licences one by one. First PPL, then CPL/IR, then the ground course for the fATPL.
integrated - One BIG course including every aspect from scratch up to the fATPL (in case of an ATPL integrated course).