Arc Length

[rm196]

Find the length of the curve.r(t) = 9t i + 12t^3/2 j + 9t² k, 0 ≤ t ≤ 1

I know arc length is equal to the integral of the magnitude of the derivative or r but I just have no idea about how to take the integral of this monster. Can anyone help me out?

 

[Deleted member 4993]

Find the length of the curve.r(t) = 9t i + 12t^3/2 j + 9t² k, 0 ≤ t ≤ 1

I know arc length is equal to the integral of the magnitude of the derivative or r but I just have no idea about how to take the integral of this monster. Can anyone help me out?

Please show us what do you get as the magnitude of dr/dt.

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

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