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A Trigometric Integral

  1. Jun 2, 2005 #1
    A Trigonometric Integral

    I'm trying to find
    [tex]\int_3^x \frac{\sin t}{t}dt[/tex]
    I can't find its indefinite integral:
    So I'm trying to use
    [tex]F(x)=\int_3^x\frac{\sin t}{t}dt[/tex]
    and solve it using sums. I am wondering, will that will work?
     
    Last edited: Jun 2, 2005
  2. jcsd
  3. Jun 2, 2005 #2

    Zurtex

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    It's of bad form to put the variable of integration inside the limit itself.

    [tex]\int_3^x \frac{\sin t}{t} dt = \text{SinIntegral}(x) - \text{SinIntegral}(3)[/tex]

    If

    [tex]x = 0 \quad \text{or} \quad \Re(x) > 0 \quad \text{or} \quad \Im(x) \neq 0[/tex]

    Not too exciting really.
     
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