Transformation to explain

  • Thread starter eclayj
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  • #1
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Homework Statement



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!
 

Answers and Replies

  • #2
Char. Limit
Gold Member
1,208
14
I'd start with a quick substitution, t=e^x. That'll make things real easy.
 

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