It depends on your coding style, what you are doing, your experience and other things.
Given all that, there's nothing stopping you from using both.
I know I use the term unit test way too often. Much of what I do might be better called integration test, but better still is to just think of it as testing.
So I suggest using all the testing techniques where they fit. The overall aim being to test well, take little time doing it and personally have a solid feeling that it's right.
Having said that, depending on how you program, you might want to consider using techniques (like interfaces) that make mocking less intrusive a bit more often. But don't use Interfaces and injection where it's wrong. Also if the mock needs to be fairly complex there is probably less reason to use it. (You can see a lot of good guidance, in the answers here, to what fits when.)
Put another way: No answer works always. Keep your wits about you, observe what works what doesn't and why.