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