And as we can see, definite integration is more of a local operation, while indefinite integration is a global operation.
I think this was borrowed from here: http://math.stackexchange.com/a/20636 ? Either way, it'd be cool to link to this question in that "why integrals are hard" section as it has a bunch of great responses.
I don't believe it was borrowed as it is something that is definitely taught in courses. I remember learning it at some point early on in my mathematics education.
I definitely know I knew it by my vector calculus course (2nd year) where we use the various named theorems to translate between the differential and integral forms of Maxwell's equations.
I think this was borrowed from here: http://math.stackexchange.com/a/20636 ? Either way, it'd be cool to link to this question in that "why integrals are hard" section as it has a bunch of great responses.