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Transformation to explain

  1. Jan 27, 2012 #1
    1. The problem statement, all variables and given/known data

    Mathematica's calculation of ∫0Log(2)Sin[([itex]\pi[/itex]/2)e2x]exdx = -FresnelS[1] + FresnelS[2]

    Remembering that FresnelS[x] = ∫0tSin[([itex]\pi[/itex]/2)t2]dt, You announce that a transformation you can use to help explain Mathematica's output is that every time x goes up by one unit, t=?


    Not even sure how to approach this at all. Any suggestions or help on how to start this is appreciated!
     
  2. jcsd
  3. Jan 27, 2012 #2

    Char. Limit

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    Gold Member

    I'd start with a quick substitution, t=e^x. That'll make things real easy.
     
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