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Convocatoria Ordinaria Ejercicio Funciones Integrales Matemáticas II

Matemáticas II 2020 Julio A 1

1 Consideremos la función \fn_jvn f(x) = \frac{\ln (x)}{x^{2}} , donde ln denota el logaritmo neperiano. Resuelva justificadamente los siguientes apartados:
a) Presente el dominio, los intervalos de crecimiento y decrecimiento, así como los posibles extremos relativos de la función f(x).
b) Calcule el valor de la integral: \fn_jvn \int_{1}^{e}f(x)dx.

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