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Parametric curve arc length

AP.CALC: CHA‑6 (EU), CHA‑6.B (LO), CHA‑6.B.1 (EK)

Problem

Consider the parametric curve:
x=cos(2t)y=6t3\begin{aligned} x&=\cos(2t) \\\\ y&=6t^{3} \end{aligned}
Which integral gives the arc length of the curve over the interval from t, equals, a to t, equals, b?
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