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Homework Help: Intergal Help!

  1. Sep 28, 2007 #1
    1. The problem statement, all variables and given/known data

    Find the intergal of [tex] s*(4-s)^\frac{1}{2} [/tex]

    2. Relevant equations

    [tex] \int s*(4-s)^\frac{1}{2} dx [/tex]

    3. The attempt at a solution

    using u sub
    u = 4-s
    s = 4-u

    [tex] \int (4-u)*(u)^\frac{1}{2} du [/tex]

    [tex] \int 4u^\frac{1}{2}*u^\frac{3}{2} [/tex]

    then what?
    Last edited: Sep 28, 2007
  2. jcsd
  3. Sep 28, 2007 #2


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    You mean, [tex] \int (4u^\frac{1}{2}-u^\frac{3}{2})du [/tex]
  4. Sep 28, 2007 #3
    Yes, [tex] \int (4u^\frac{1}{2}-u^\frac{3}{2})du [/tex]

    to solve this do I just do the integral of the equation above then plug in 4-x for u?
  5. Sep 28, 2007 #4
    yes, 4-s. I think your original integral was meant to be ds not dx right?

    also when you made your u substitution du=-ds so your integral should be u^(3/2)-4*u^(1/2)
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