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November 21, 2014

November 21, 2014

Posted by **Liz** on Wednesday, December 19, 2012 at 5:36pm.

- calc arc length -
**Count Iblis**, Wednesday, December 19, 2012 at 7:11pmYou need to integrate sqrt[1+f'(x)^2] from x = 0 to pi/3. Computing the derivative of f(x) is not difficult, you can use the chain rule, substitute u = x^3 for the upper limit and use that the derivative w.r.t. x is the derivative w.r.t u times the derivative of of u w.r.t. x. The derivative w.r.t. u is, by the Fundamental Theorem of Calculus, equal to sqrt[cos(u)].

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