As a physics undergrad, what's the actual usefulness of doing a shit ton of integrals for weird functions to get really aquainted with integration methods?
Are integrals in higher physics as hard to solve? (ie. you have to throw lots of shit at them until they give) Is this just so we develop an intuition as to what shit should we throw at the integral to solve it faster?

From what I can gather, most mathematicians don´t give a shit about them unless there's some kind of relevancy in a theorem, then they will struggle until they find an answer and go about their day.