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Integration Problem involving absolute bracket, sine,cosine

  1. Feb 1, 2012 #1
    1. The problem statement, all variables and given/known data
    Evaluate

    ∫(1)to(-1) l sin(x) l dx


    2. Relevant equations



    3. The attempt at a solution

    If I just leave it like this, is it wrong?

    1. ∫(1)to(-1) l sin(x) l dx = l -cos (x)l

    2. l -cos (1) l — l -cos (-1)l = 0 - 0 = 0
     
  2. jcsd
  3. Feb 1, 2012 #2

    Dick

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    Science Advisor
    Homework Helper

    Way wrong. Split the integral up into regions where sin(x) has a definite sign. Work the integral out on each of those regions. Then add them up. You'll get a very different answer.
     
    Last edited: Feb 1, 2012
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