This is the point, there is NO right answer
Modular is not better then integrated and integrated is not better then modular!! They are aimed at different people wanting different things!! Your biased anyway will
To answer the original question since my first post didn't, advantages of integrated are that you get to do the whole course with one group of people, very much a classroom type of enviroment which suits some people. Integrated, will generally not give a major advantage in job seeking, which somepeople seem to think it will, altho I think with some airlines ( a very small number tho) have good relationships with some schools and this may give you a slight advantage (please note you WILL NOT walking into a job from any course!!!!) The only integrated disadvantage is the price. Modular advantages is first and fore most the cost, it is the cheapest way to get your licence. Disadvantages are that it is not as structured and so more planning is needed and you generally will not have the same people for all of your course.
As I said most of these differences are all down to what you want on a course, somepeople find the integrated course more to their suiting, some people find modular better. Go vist some schools, see what you think and form your own opinion on what the schools (integrated AND modular) are offering.