(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the volume of the function rotated about the x-axis over the given interval:

y=1/x

on interval [1,4]

for this specific problem it says to sketch the region and express as a sum of two integrals.

2. Relevant equations

3. The attempt at a solution

I'm not sure why you need to express it as a sum of two integrals. Since its about the x-axis I solved so that it was x=1/y for the radius and the height would then be y therefore with the shell method it would be 2*pi* [tex]\int[/tex] (1/y)y(dy) the limits of integration being 1 to 4

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# Homework Help: The shell method

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