Integral Calculus: Darboux Sums

This lecture covers the concept of Darboux sums in integral calculus, focusing on the definition of Darboux sums for a continuous function. It explains the regularity of Darboux sums, the maximum and minimum values of the function, and the relationship between Darboux sums and subdivisions. The lecture also discusses the properties of Darboux sums, the proposition related to the maximum and minimum values, and the theorem of the average. Furthermore, it explores the calculation of integrals, the proposition of the fundamental theorem of calculus, and the corollaries related to the integral function of the bounds.