The Kurzweil Henstock Integral

In this video, I present an integral that is even better than Riemann and Lebesgue combined: Ladies and gentlement, I present you, the Gauge Integral, aka the Kurzweil or the Denjoy or the Henstock integral. This is an integral that allows more flexibility than the usual calculus integral, and includes examples like the integral of 1/x sin(1/x^3) from 0 to 1. Enjoy this integration extravaganza!

Boming Jia's notes: https://math.osu.edu/sites/math.osu.edu/files/jia_denjoy_2015.pdf

Lebesgue Integral Overview: https://www.youtube.com/watch?v=axEyHyIP5KM

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Видео The Kurzweil Henstock Integral канала Dr Peyam