Calculus 2A — Integrals
Part 1 of 2. The Riemann sum, the Fundamental Theorem of Calculus, and symbolic integration with live Steps.
The derivative asked "how fast?" The integral asks the mirror question: "how much, in total?" — distance from speed, energy from power, area under a curve. This is part 1 of 2 of Calculus 2.
- 01 The Riemann sum — area by brute force ELI5: to find the area under a curve, slice it into thin rectangles and add them up. More, thinner slices → a better answer. Area under f(x) = x² from 0 to 1,…
- 02 The Fundamental Theorem of Calculus ELI5: the miracle that names the subject — integration undoes differentiation. Instead of a thousand rectangles, find a function F whose derivative is the…
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