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Propiedades de la Integral Definida

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Universidad Cálculo Diferencial e Integral Flashcards on Propiedades de la Integral Definida, created by Freddy Ulate Agüero on 07/08/2014.

Flashcards by Freddy Ulate Agüero, updated more than 1 year ago

	Created by Freddy Ulate Agüero over 10 years ago

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Resource summary

Question	Answer
$\int_{a}^{a} f(x) dx =$	$0$
$\int_{a}^{b} f(x) dx =$	$- \int_{b}^{a} f(x) dx =$
$\int_{a}^{b} c dx =$	$c(b-a), c constante$
$\int_{a}^{b} [f(x) \pm g(x)] dx =$	$\int_{a}^{b} f(x) dx \pm \int_{a}^{b} g(x) dx$
$\int_{a}^{b} cf(x) dx =$	$c \int_{a}^{b} f(x) dx =$
$\int_{a}^{b} f(x) dx =$	$\int_{a}^{c} f(x) dx + \int_{c}^{b} f(x) dx$
$\mbox{Si} \,\, f(x) \geq 0 \,\, para \,\, a \leq x \leq b$	$\int_{a}^{b} f(x) dx \geq 0$
$Si \,\, f(x) \geq g(x) \,\, para \,\, a \leq x \leq b$	$\int_{a}^{b} f(x) dx \geq \int_{a}^{b} g(x) dx$

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