I mean, the kind of integral one solves in school are rather trivial, essentially edge cases that never come up IRL. (e.g. ∫x^2 or ∫e*x kinda thing)
But even in that case, you still have to correctly define what you want to integrate as a function, you can’t just draw a random geometric shape and integrate it and you have to correctly “use” the integral operator.
Given an arbitrary function it’s not at all obvious what the integral of that function will look like and it sometimes requires a lot of skill to deduce.
Given an arbitrary problem where integrals are needed I find that it’s often non-obvious how to pick the bound, especially when we get into 2d and 3d integrals (or however you call them, I’m referring to ∫∫ and ∫∫∫).
I mean, the kind of integral one solves in school are rather trivial, essentially edge cases that never come up IRL. (e.g. ∫x^2 or ∫e*x kinda thing)
But even in that case, you still have to correctly define what you want to integrate as a function, you can’t just draw a random geometric shape and integrate it and you have to correctly “use” the integral operator.
Given an arbitrary function it’s not at all obvious what the integral of that function will look like and it sometimes requires a lot of skill to deduce.
Given an arbitrary problem where integrals are needed I find that it’s often non-obvious how to pick the bound, especially when we get into 2d and 3d integrals (or however you call them, I’m referring to ∫∫ and ∫∫∫).