Helix Arc Length

[ArPEn]

Would someone mind demonstrating how to calculate the arc length of a helix, or show how to integrate over a 3D vector on the HP Prime?

I am attempting to calculate the length of wire required to wrap around a cylinder, and need to mathematically determine length to calculate resistance.

Parameters:
Height: 10 inches
Revolutions: 35
Diameter: 0.54 inches
Pitch: 0.29 inches

A=∫(from 0 to 1)? √((x′(t))^2+(y′(t))^2+(z′(t))^2) dt

(Taken from https://math.stackexchange.com/questions...of-a-helix)

If anyone is able to direct me how to integrate over a 3D vector function I can probably figure out the correct formula and/or inputs. I just can't figure out how to input the equation properly.

Thanks kindly!