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September 23, 2014

September 23, 2014

Posted by **Beth** on Sunday, December 4, 2011 at 8:54pm.

- Math -
**MathMate**, Sunday, December 4, 2011 at 9:46pmThe 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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