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What is Riemann vs. Lebesgue Integration Explained about?
Riemann integration uses subintervals of the domain to approximate the area under the curve of a function. It constructs inner and outer rectangles based on these subintervals to bound the area from below and above. The function is Riemann integrable if the difference between the upper and lower sums can be made arbitrarily small as the subintervals shrink. Lebesgue integration instead uses the measure of subsets of the domain where the function takes on certain values to define the integral. It can integra
- Author
- Angelica Herawon
- Language
- EN