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Intergration problem

  1. Feb 8, 2009 #1
    1. The problem statement, all variables and given/known data
    i'm taking a defitinite integral from sqrt2 to 2 of the function 1/x^3*sqrt(x^2-1)dx.

    2. Relevant equations



    3. The attempt at a solution
    I seperated it into 1/x^3 and 1/sqrt(x^2-1). I have the second part using trig sub. as being sec theta dtheta, before integrating it. I believe i did this part correctly.

    What I can't remember is that I make 1/x^3 to x^-3 and then integrate it that way with the final being -1/2(1/x^2)??

    Am i going about this correctly?
     
  2. jcsd
  3. Feb 9, 2009 #2

    Tom Mattson

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    No need to do that. The entire integrand comes out very nice with a trig substitution.

    The part in red makes very little sense to me, but it sounds like it has the kernel of a correct method in there. Could you elaborate?
     
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