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by thaumasiotes 4816 days ago
I find that saying bizarre. In high school, I found derivatives significantly more difficult to learn than I did integrals. Then, in multivariable calc, I found derivatives significantly more difficult, again. Integrals follow your intuition in a way that derivatives just don't.
5 comments

Derivatives are formulaic. Integrals, like proofs, require thinking backwards, i.e. creativity and/or luck. For the vast majority of people, cultivating that intuition is a lot harder than plugging numbers into formulas...
Formally speaking, solving integrals requires brute force. It is only after many such brute force samples your starting to get an intuition. But I won't call this creativity.
What. Derivatives are a very straightforward algorithm. Integrals aren't.
I would guess that this depends on the things you usually integrate and those one differentiates – as the former only has (simple) algorithms for very simple cases, whereas the latter has very general algorithms, differentiation exercises in school tend to use more complex examples than integration exercises.

However, given a ‘random’ expression, integration will be much more difficult than differentiation.

Do you have this backward (computing a derivative is algorithmic, computing an integral is analytic)?
Tell that to a rabbit.