To me, integrated means it integrates a bunch of tasks that used to be separate. I used to have a text-editor, a Makefile to use with 'make', a command line debugger, a static-analyser, and a profile target in that Makefile that I could use to figure out where my code was slow, using another command line tool.
All of that is in Xcode (and a hell of a lot more besides). That makes it integrated, at least IMHO.
You commented above, and I replied, about some of the tasks you use an integrated terminal for, and I'm not trying to say you shouldn't or that that's not useful to you - you obviously know your own workflows and what works best for you :) I just don't see it as "the most basic feature you could integrate into an IDE" (which was the original claim).
I'd probably put 'text editor' up as the most basic, closely followed by compiler integration and then debugger. Static analysis would probably come next, then unit-testing support, doc-comments, and tools like refactoring, good multi-file search/replace etc.
A terminal app is way, way down the list. For me. I realise everyone is different and YMMV :)