Posted by Beth on Sunday, December 4, 2011 at 8:54pm.
The integral required is:
I=∫sqrt(1+f'(x)^2)dx from 0 to 1
=∫sqrt(1+(4x^3)^2)dx from 0 to 1
An analytic result involves elliptic integrals. Numerical integration would therefore be recommended.
I=1.600... (to 3 decimal places)
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