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The Kurzweil Henstock Gauge Integral

Dr Peyam

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The Kurzweil Henstock Gauge Integral

21 124 просмотра · 7 лет назад
Dr Peyam
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21 124 просмотра · 7 лет назад
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.e... Lebesgue Integral Overview:    • Lebesgue Integral Overview   Check out my Real Analysis Playlist:    • Real Analysis   Check out my Calculus Playlist:    • Calculus   Subscribe to my channel:    / @drpeyam