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Mediante un trabajo investigativo realizado durante varios anos, se ha podido comprobar, que los estudiantes universitarios y los egresados de ese nivel de ensenanza, no adquieren las habilidades necesarias para identificar problemas nuevos que pueden ser resueltos mediante una integral definida, cuando son utilizados los metodos tradicionales de ensenar el calculo integral. Como resultado de esta investigacion, se ha logrado precisar un conjunto de propiedades que representan condiciones necesarias y suficientes, para que la solucion de un problema pueda ser obtenida directamente mediante el calculo de una integral definida. Eso ha sido enunciado y demostrado en un teorema. Through a research carried out for some years, it has been possible to state that university students and graduates do not acquire the necessary abilities to identify new problems that can be solved by means of a definite integral, when the traditional methods of the teaching of the integral calculus are used. As a result of this research, a group of properties which represent the necessary and sufficient conditions so that the solution of a problem can be obtained directly through the calculus of a definite integral, were established. This process has been enunciated and demonstrated in a theorem.

Propuesta didáctica para identificar cuándo la integral definida es aplicable para resolver un problema