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Need help with complex integral

  1. Sep 24, 2009 #1
    Hi,i would be gratefull if anyone could help me with this problem.

    [tex]\frac{2}{\pi}[/tex][tex]\int \frac{cos(ux)}{\sqrt{x}} dx[/tex]
    x goes from zero to infinity.

    thanks in advance.
     
  2. jcsd
  3. Sep 24, 2009 #2

    CompuChip

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    Assuming you know a thing or two about Gaussian integrals, you could try substituting [itex]y^2 = x[/itex]...
     
  4. Sep 24, 2009 #3
    yes I tried that and I got[tex]\frac{\sqrt{2}}{\sqrt{u\pi}}[/tex]
    but correct is [tex]\frac{1}{\sqrt{u}}[/tex] .
    any other way of solving?
     
  5. Sep 24, 2009 #4

    nicksauce

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    Are you sure 1/√u is correct? Maple and wolfram alpha agree with your answer.
     
  6. Sep 24, 2009 #5
    Ok my mistake,thank you all.Maple rules :smile:
     
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