9. Find the length of the curve. The spiral $r = 2\theta^2$, $0 \le \theta \le 2\sqrt{3}$
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Step 1: The length of the curve can be found using the formula for the arc length of a polar curve, which is given by the integral: \[ \int_{a}^{b} \sqrt{r^2 + \left(\frac{dr}{d\theta}\right)^2} d\theta \] Show more…
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