is knowing how to compute antiderivatives actually useful? i
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is knowing how to compute antiderivatives actually useful? i think it's a waste of time for most people. after taking the integration class you only need to know how to take a few antiderivatives that appear in some exercises. wouldn't it be better to teach numerical methods of integration instead of teaching antiderivatives?
>>7793504
Why would you need to explicitly compute integrals at all? Integrals are only useful to prove some theorems in cohomology, and there you don't compute them but only show their existence.
In many practical situations it suffices to have numerical estimates, but goddamnit if you learned how differentiation works you can damn well learn how to do it backward. Furthermore numerical estimates don't give you neat formulas when those are available, but the pen and paper way does.