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Integration by Parts evaluation help

  1. Apr 7, 2010 #1
    Hi,
    Can you tell me if I am on the right track with this problem. Thanks in advance.

    1. The problem statement, all variables and given/known data
    Evaluate the integral using integration by parts


    2. Relevant equations
    ln(2x + 1)dx


    3. The attempt at a solution
    ln(2x + 1)dx

    = ln(2x + 1) * 1dx

    Let U = ln(2x + 1)

    therefore du = 1/(2x+1)

    dv = 1dx

    therefore v = x

    Using the formula: [tex]\int udv = uv - \int vdu [/tex]

    = \int ln(2x + 1) * 1dx = ln (2x + 1)(x) - \int (x)(1/2x + 1)

    If any of this is correct, I am now stuck at this point.
     
  2. jcsd
  3. Apr 7, 2010 #2

    gabbagabbahey

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    Homework Helper
    Gold Member

    Double check that differentiation :wink:

    Other than that, it looks good so far. As a hint on how to continue, [itex]\frac{2x}{2x+1}=1-\frac{1}{2x+1}[/tex]
     
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