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Calc help

  1. Oct 20, 2003 #1
    Calc help plz!!!

    Plz help me out w/ the problem below. Thanks.
    Find the length of the specified arc of the given curve:
    y=1/3sqrt(x)*(3-x), 0<=x <=3
    Formular to find arc length is integral from a to b of sqrt(1+f'(x)^2)dx
    I got to these steps below and not sure exactly wat to do next
    ***y'=1/6x^(-1/2)(3-3x)=1/2x^(-1/2)(1-x)
    ***V= integral from 0 to 3 of sqrt{1+[1/2x^(-1/2)*(1-x)])2} dx
    =integral 0 to 3 of sqrt[1/2+1/4*x^-1+1/4*x] dx
     
  2. jcsd
  3. Oct 21, 2003 #2
    1/(4x) + 1/2 + x/4 can be factorized to (1/2x-1/2 + 1/21/2)2
     
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