Well the prompt asks about inductive vs deductive learning, and I don't know what either means, so I'm going to have to look it up.
Well I'm back. Based on what what I've read, I would say this theorem is more inductive. Basically, it doesn't matter how well it is explained; you still might not get it. You basically just have to keep trying and using calc and eventually it will click and it will make sense why it works. For me, the moment when it all kinda clicked was in the shower. No joke. I don't think I was even thinking about math, but somehow it just clicked, and it made sense why the inverse derivative of an original function was the area of it, and why we use integrals. I would say its fundamental, because half of everything calculus does is based of it (assuming calc is half derivative and have integral stuff). The notation is simple enough and makes sense. One thing I don't really get is how it relates to infinite rectangles. That seems completely unrelated to the integrals to me.
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January 2018
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