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August 30, 2015

Homework Help: Calculus Check

Posted by Mooch on Tuesday, March 13, 2012 at 4:49pm.

The region R is bounded by the x-axis, x = 1, x = 3, and y = 1/x^3.
Here is what I have so far:
Radius = 1/(x^3)
Area of Cross Section = pi(1/(x^3))^2
Simplified: pi(1/(x^6))
Volume = (definite integral from 1 to 3) pi(1/(x^6)) dx
= pi( -1 / 5(3)^5) - pi(-1 / 5(1)^5)
= pi (-1 / 1215) - pi (-1 / 5)
= pi(242 / 1215) = 0.625732858
Is this right?

Sincerely,
Mooch

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