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In Exercise use the integration feature on a graphing calculator to find the volume of the solid of revolution by rotating about the x-axis each region bounded by the given curves.
f(x)=1/4x^2, y=0, x=-2, x=2.

Respuesta :

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Answer:

[tex]\frac{4\pi}{5}[/tex]

Step-by-step explanation:

We will use the following property of integral to calculate the volume of the solid of revolution by rotating about the x-axis:

[tex]V=\pi\int\limits^2_{-2} (\frac{1}{4}x^2)^2\:dx=\pi\int\limits^2_{-2} \frac{1}{16}x^4\:dx=\pi\frac{x^5}{80} |^2_{-2}=\frac{4\pi}{5}[/tex]

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