Find the length of the arc of this curve from (-27,9) to (8,4): y^3=x^2

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Find the length of the arc of this curve from (−27, 9) to (8, 4).

$$y^3=x^2$$

I know how to use the simple arc length formula to solve a general equation. What's throwing me off about this problem is the specific points given. Do I just pick either the x or the y values to use in the arc length formula? For example, if I choose to use x values to evaluate:

$$\int_{-27}^8 \sqrt{1 + \left(\frac 49\ x\right)^{-2/3}}\,dx $$

Does this setup look correct? I did it this way and have been getting the wrong answer.