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Need help integrating

  1. Nov 28, 2007 #1
    I am trying to integrate (sin(x))/x It's an indefinite integral I cant think of any tricks to work this out
  2. jcsd
  3. Nov 28, 2007 #2


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    It has no elementry solution.

    There is a function however called SinIntegral(x) that is defined by this very integral: http://mathworld.wolfram.com/SineIntegral.html
  4. Nov 28, 2007 #3


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    The most I can guess is to write out sin(x) as the infinite series and divide by x and integrate

    [tex]sinx=\sum_{n=0} ^\infty \frac{(-1)^n x^{2n+1}}{(2n+1)!}[/tex]

    then [itex]\frac{sinx}{x}[/itex] will become

    [tex]\sum_{n=0} ^\infty \frac{(-1)^n x^{2n}}{(2n+1)!}[/tex]

    Integrate this w.r.t.x and you'll get the infinite series representation of it
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