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.
Freddy Ulate Agüero
Flashcards by Freddy Ulate Agüero, updated more than 1 year ago
Freddy Ulate Agüero
Created by Freddy Ulate Agüero over 10 years ago
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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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