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Integration Question

  1. May 9, 2009 #1
    1. The problem statement, all variables and given/known data

    [tex] \int \frac{sin(\sqrt{x})}{\sqrt{x}} dx [/tex]

    2. Relevant equations

    3. The attempt at a solution

    I'm not too sure how to approach this. The only thing that rings a bell at this moment is

    [tex] \lim_{x\to\0} \frac{sinx}{x} = 1 [/tex]

    and I don't feel that it is of any relevance.

  2. jcsd
  3. May 9, 2009 #2


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    Homework Helper
    Gold Member

    Use the substitution u = √x. Whats du?
  4. May 9, 2009 #3
    So [tex] du = \frac{dx}{2\sqrt{x}} [/tex]

    [tex] 2 \int sin(u) du [/tex]

    Cool, thanks.
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