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Homework Help: Integration by Substitution.

  1. Mar 14, 2010 #1
    1. The problem statement, all variables and given/known data
    Question is:Integrate x(2x+1)^8 dx in terms of x.


    2. Relevant equations



    3. The attempt at a solution
    Here is how i started off:by relabeling them.
    let u = 2x+1. du/dx = 2.
    dx=du/2.

    Also x=u-1/2.
    So my terms now are: Integral (u-1/2)u^8 (du/2) <- this is where i am slightly confused i know i need to take out common term and just do i simple integration :/ can anyone hint me.
    Thanks
     
  2. jcsd
  3. Mar 14, 2010 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Now just multiply it out to get simple power terms.
     
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