volumenes mediante cascarones cilindricos.pptx - C\u00c1LCULO II VOLUMEN MEDIANTE CASCARONES CIL\u00cdNDRICOS ENR\u00cdQUEZ M\u00c9NDEZ MOIS\u00c9S MARCELINO FIGUEROA

volumenes mediante cascarones cilindricos.pptx - CÁLCULO...

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CÁLCULO II VOLUMEN MEDIANTE CASCARONES CILÍNDRICOS ENRÍQUEZ MÉNDEZ MOISÉS MARCELINO FIGUEROA SANTANA KATIA AURORA HERNÁNDEZ AGUILAR IVAN FRANCISCO VERANO 2019
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Un sólido de revolución se forma al girar una curva en alrededor de una recta. Este solido genera un volumen, el método de los cascarones cilíndricos es una forma de calcular el volumen de estos .
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Este método se basa en utilizar anillos cilíndricos de poco grosor llamados cortezas. El volumen de una corteza cilíndrica de radio exterior , radio interior y altura está dado por : ? = ? 2 ? 1 = ? ? 2 2 h− ? ? 1 2 h = ? ( ? 2 2 ? 1 2 ) h = 2 ? ? 2 + ? 1 2 h ( ? 2 ? 1 )
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Si (espesor del cascarón) y (el radio del cascarón), entonces : ? = 2 ? h ? ? ? = 2 ? h ? ? Sea S el sólido que se tiene al hacer girar alrededor del eje ya la región acotada por , [donde ] , donde
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Se divide el intervalo de en subintervalos de igual anchura y sea , el punto medio del subintervalo. Si el rectángulo de
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