What's the point of memorizing a bunch of integration techniques if most models/functions that describe real world phenomenons can only be integrated numerically?
>>9137254
You utilize basic integration techniques on the most simple problems to get some intuition behind the solutions of the equations.
For all the others, you've got numerical solutions.
>>9137254
>what's the point of learning the multiplication table when you can just press a god damn button on a calculator
>>9137260
the problems are carefully hand-picked for students, the set of unsolvable integrals is much much larger than the set of solvable ones, one typo can make a simple problem impossible unless you do it numerically.
>>9137268
Yes, that's what I've said.
>>9137254
sup nerdlord
ever used an excel function? pretend the integral is the function doing its answer onto the boxes of your meme CS company
>>9137260
does this really help in higher level math?
because i feel like learning integrals have not done me any good
>>9137312
integrals show up all the time in higher math
>>9137254
Approximations and neglecting are still useful and illuminating. And what methods are you talking about? Integration by parts and substitution are fundamental and partial fractions is basic algebra.