Length Of A Helix

Calculus Level 4

Consider the cylindrical helix in $$\mathbb{R}^3$$ whose equations are

$x = 3\cos(t) \hspace{.4cm} y = 3\sin(t) \hspace{.4cm} z = 4t$

What is the length of this helix from $$t = 0$$ to $$t = 403$$?

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