Length Of A Helix

Calculus Level 4

Consider the cylindrical helix in R3\mathbb{R}^3 whose equations are

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

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

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