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Length of spiral

  1. Sep 26, 2004 #1
    a spiral given by r(t) = (e^-t cos t, e^-t sin t) , t is greater than or equal to 0, how would i find the length of the spiral?
    thanks anyone!
     
  2. jcsd
  3. Sep 26, 2004 #2
    do a line integral. length = S(dr) from t = 0 on out to infinity in this case. dr is sqrt(dx^2+dy^2) (assuming this is two and not three dimensions) where dx is the derivative of the i component of r(t) and dy is the derivative of the j component of r(t). Oh sorry S also means integral in my bastardized way of writing math with basic text.
     
    Last edited by a moderator: Sep 26, 2004
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