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Try and intergrate this

  1. May 23, 2009 #1
    [tex]\int \frac{x}{\sqrt(1-4x^{2})}dx[/tex]
    If it was just a constant on top I could turn it into an arcsin, but there is a stupid x there, so not to sure. I though about intergrating by parts, but their must be an easier method than that?

    Thanks
     
  2. jcsd
  3. May 23, 2009 #2

    quasar987

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    Well, you could make the x above "disappear" by doing a change of variable u=4x².
     
  4. May 23, 2009 #3

    Dick

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    Try the substitution u=1-4x^2.
     
  5. May 23, 2009 #4
    cheers thanks got it!

    btw, how do you spot a substitution? There is a rule(s) for it. When somthingis the product or differential of somthing else?

    Thanks :)
     
  6. May 23, 2009 #5

    Dick

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    When you see a multiple of the derivative of something else in the numerator, it's a dead giveaway for a substitution.
     
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