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Integral(F(x) homework

  1. Apr 25, 2007 #1
    L,p,q,r are constants

    F(x) = p + qx + rx^2
    F(L) = 0
    F(0) = (1.5/L) * Integral(F(x), from 0 to L)

    show, F(x) = F(0) *(1-(x/L)^2)

    I, have made several attempts, and I am not sure what to do.
    I have determined
    p = -qL - rL^2
    and
    p = -1.5qL - rL^2


    how do i proceed?
    -cheers
     
  2. jcsd
  3. Apr 25, 2007 #2

    cristo

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    Staff Emeritus
    Science Advisor

    Well firstly I would evaluate F(0) [i.e. compute the integral]. Then see if you can show that the statement holds.
     
  4. Apr 25, 2007 #3
    I have done that, and ended up with

    p = -1.5qL - rL^2,
    that hasnt help and i dont know how to proceed.
     
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