Find the volume generated by rotating the given region about the specified line? - Math Help Forum

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$Reload this Page$ Find the volume generated by rotating the given region about the specified line?

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$Old$ 11-19-2008, 07:47 PM

sobadin $sobadin is offline$

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$Default$ Find the volume generated by rotating the given region about the specified line?

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$Old$ 11-20-2008, 05:47 AM

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Using the washer method, the volume of revolution about the x-axis is:

$V_x=\pi\int_0^1 (x-x^6)dx$

You can do the volume around the y-axis:

$V_y=\pi\int_0^1\bigg(g(y)^2-h(y)^2\bigg) dy$

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