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Absolute value in integral

  1. Apr 24, 2010 #1
    1. The problem statement, all variables and given/known data

    How do split

    [tex]\int^1_{-1}\left| \frac{1}{2}+xt\right|dt[/tex]

    2. Relevant equations

    3. The attempt at a solution

    [tex]\int_{-1}^0 -\frac{1}{2}-xt dt+\int_0^1 \frac{1}{2}+xt dt[/tex]

    Im not sure if this is right, and if it is... i still dont understand how to split the absolute value part inside an integral.

    thank you
  2. jcsd
  3. Apr 24, 2010 #2


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    Homework Helper

    Do you know how to split up [itex]|t|[/itex]? I suggest drawing a graph of [itex]1/2+xt[/itex] and look closely how it differs from [itex]|t|[/itex].
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