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**1. Homework Statement**

Given: R(t)= <(1/2)t^2, (4/3)t^(3/2), 2*sqrt(3)t>

Find: Arc length function s(t) where t_0 =0

**2. Homework Equations**

Is this the correct formula?

∫[0,t] sqrt( derivative^2 + derivative^2 +derivative^2) dt

∫[0,t] sqrt(t^2 + 4t + 12) dt

**3. The Attempt at a Solution**

∫[0,t] sqrt(t^2 + 4t + 12) dt

I am not looking for anyone to do my homework, but before I start a messy integral I just want to know if:

A) I am starting correctly, and

B) if their is an easier way to do this (or strategy)

Thanks.

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