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Integration using separation of parts

  1. Apr 13, 2010 #1
    1. The problem statement, all variables and given/known data

    evaluate the integral cos^-1 2x dx?


    2. Relevant equations



    3. The attempt at a solution

    let

    u = arc cos
    du = -1 / (sqrt 1-x^2)
    dv = 2x
    v= x^2

    arc cos * x^2 - the integral of -x^2 / (sqrt 1-x^2)

    then i don't know what to do
     
  2. jcsd
  3. Apr 13, 2010 #2

    rock.freak667

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    Homework Helper

    What you have is ∫cos-1(2x) dx

    so u = cos-1(2x) and dv=dx
     
  4. Apr 13, 2010 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    This is NOT "arccos" multiplied by 2x!
     
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