Lecture

Curvilinear Integrals

Description

This lecture covers the calculation of curvilinear integrals for a continuous function in R^n, focusing on the norm of the derivative and change of variables. It explains the intrinsic definition of the curvilinear integral, its independence of the chosen smooth parameterization, and the interpretation of the integral as the sum of small segments along a curve. The lecture also discusses the calculation of the length of a curve using curvilinear integrals.

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