Question

Encuentre el volumen del sólido formado al girar la región entre y desde hasta sobre el eje x.

Ask by Gibson Greene. in Cuba
Jan 10,2025

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Answer

El volumen del sólido es unidades cúbicas.

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Beyond the Answer

Para encontrar el volumen del sólido formado al girar la región descrita, se puede utilizar el método de discos. La fórmula para el volumen es:
Aquí, , y . Entonces, el volumen se calcula como:
Calculando la integral:
Por lo tanto, el volumen del sólido es:

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