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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the integration of functions in several variables, closed box, Darboux sums, integrability of a continuous function on a closed box, and properties of the integral. It also includes Fubini's theorem on a closed box. The lecture discusses the definition of a closed box as a subset of R^n, the volume of a closed box, the concept of Darboux sums, and the integrability of a function on a closed box. It explores the volume of a closed set under a surface, the Fubini theorem for a closed box, and the integration order. The lecture concludes with the properties of the integral, including additivity and integrability conditions.