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

The function ln(x) is rotated around the x-axis on the interval [1,4].

2. Relevant equations

Find the volume of the figure using integration.

3. The attempt at a solution

[tex]\pi[/tex] [tex]\int _{1}^{4} (.75) ln(x)^{2} dx[/tex]

= [tex]\pi[/tex] [tex]\int _{1}^{4} [3(ln(x))^{2}]/4 [/tex]

sorry I'm bad at typing these things in

anyway solving that I got 6.1187 units^3 and I don't think it's the correct answer, but I'm not sure.

I approximated the volume using cylinders and got 10.518 for circumscribed and 5.989 for inscribed.

Thanks in advance

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# Ln(x) rotated around the x-axis [1,4] Find Volume

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