Se analizan las propiedades de diferenciación de integrales definidas sobre conjuntos que dependen continuamente de un parámetro. Se enuncian y se demuestran los terrenos relevantes para el establecimiento de las propiedades de este tipo de integrales, especialmente se demuestra el Teorema de Reynolds.
Integrals that are dependent on a parameter, have been long used as mathematical tools to solve problems of fluid physics and electromagnetic theory. However, the introduction of derivation properties of these integrals mzector calculation and physics text books are overlooked or partially present. This paper gives a detailed mathematical formalism and suggests the physical context of these integráis. So it provides a teaching strategy to show how problems are approached with a rigorous mathematical background. A series of theorems and lemmae with theirdemostrations are included together with the Reynolds theoren and three physical applications.
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