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CALCULO INTEGRAL - AREAS BAJO LA CURVA

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on 30 April 2014

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Transcript of CALCULO INTEGRAL - AREAS BAJO LA CURVA

AREAS BAJO LA CURVA
El cálculo integral se dio a la luz gracias al problema geométrico de hallar áreas de regiones no poligonales, es decir de regiones con aspecto curvo vamos a mostrar, el cómo podemos hallar áreas haciendo uso de la integral.
Áreas bajo la curva
Definición: Sí f es continua y no negativa en un intervalo cerrado , el área de la región limitada por la gráfica de f, el eje x y las rectas verticales viene dada por:
AREA = ∫ f(x)dx
Integral Definida

Dada una función f(x) y un intervalo [a,b], la integral definida es igual al área limitada entre la gráfica de f(x), el eje de abscisas, y las rectas verticales x = a y x = b.
Encontrar el área bajo la curva
mediante la integral definida
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