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Calc 1 Integration headache

  1. Apr 22, 2013 #1
    1. The problem statement, all variables and given/known data

    Hey I'm doing something really stupid it is really pissing me off why I can't figure it out.




    3. The attempt at a solution

    Evaulate the integral : ∫ x(1-x)^1/2

    I tried with substitution. u = 1-x , -du = dx and x = 1-u

    ∫ (1-u)(u)^1/2 I just tried to simplify it some.

    ∫ (u^1/2-u^3/2) -du

    -∫ u^1/2 du +∫ u^3/2 du

    integrate I got

    (-2/3)u^ 3/2 + (2/5)u^5/2


    (-2/3)(1-x)^ 3/2 + (2/5)(1-x)^5/2


    My book got (-2/15)*2+3x)(1-x)^3/2 + C
    I'm lost.

    Thanks for the help.
     
  2. jcsd
  3. Apr 22, 2013 #2

    Mark44

    Staff: Mentor

    It looks to me like they factored (1 - x)3/2 from both terms.
     
  4. Apr 22, 2013 #3
    I just tried that and couldn't get it in the form they had.
     
  5. Apr 22, 2013 #4
    I think I just got it sorry. Jesus this was mad so much harder by me ..Thanks for help
     
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