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Centroid of a bounded region: Help

  1. Jul 16, 2013 #1
    1. The problem statement, all variables and given/known data
    Find the centroid of the region bounded by the graphs of y = sqrt (x) and y = (1/2) * x


    2. Relevant equations
    A = [f(x)-g(x)]dx
    from point a -> b


    3. The attempt at a solution
    x = [0,4] ; p(0,0) and p(4,2)

    I am just checking on if I did the integral correctly.

    A = ((2x^3)/3) - ((x^2)/4)] 0 -> 4
     
  2. jcsd
  3. Jul 16, 2013 #2

    Mark44

    Staff: Mentor

    Not quite. If you integrate x1/2 you don't get x3.
     
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