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February 28, 2015

February 28, 2015

Posted by **Anonymous** on Tuesday, February 14, 2012 at 5:18pm.

y = (x^3/12) + (1/x), from x=1 to x=2 is rotated around the x-axis.

- calculus -
**Reiny**, Tuesday, February 14, 2012 at 7:40pmI visualize an infinite number of "rings"

radius of ring = (x^3)/12 + 1/x

circumference = 2π((x^3)/12 + 1/x)

surface area = 2π∫( (x^3)/12 + 1/x) dx from 1 to 2

= 2π [ (x^4)/48 + lnx] from 1 to 2

= 2π (1/3 + ln 2 - 1/48 - ln1)

= 2π(5/16 + ln 2

= π(5/8 + 2ln 2)

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