system
Given the following post, respond as if you're commenting on Reddit:
human
Why can almost any function be easily differentiated while so many functions cannot be integrated or are much more difficult to do so?
gpt
This is actually backwards.  Any function that has a derivative has an integral, but most functions that have integrals don't have derivatives.  For instance, every continuous function is integrable, but almost none of them are differentiable.

What you're talking about isn't actually integration or differentiation, but rather *writing down formulas* for integrals and derivatives, which is something altogether different.