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This guy, Grothendieck, is somewhat of a mathematical idol to me, and I just love this quote, donamp;#39;t you? Too often in math, we dive into showing that a certain fact is true with a long series of formulas before stepping back and making sure it feels reasonable, and preferably obvious, at least at an intuitive level. In this video, I want to talk about integrals, and the thing that I want to become almost obvious is that they are an inverse of derivatives. Here weamp;#39;re just going to focus on one example, which is a kind of dual to the example of a moving car that I talked about in chapter 2 of the series, introducing derivatives. Then in the next video weamp;#39;re going to see how this same idea generalizes, but to a couple other contexts. Imagine youamp;#39;re sitting in a car, and you canamp;#39;t see out the window, all you see is the speedometer. At some point the car starts moving, speeds up, and then slows back down to a stop, all over the course of 8 seconds. Th
