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Integrate x/sqrt(a^2+b^2-2abx)

  1. Sep 15, 2014 #1
    1. The problem statement, all variables and given/known data
    I need to integrate x/sqrt(a^2+b^2-2abx) with respect to x.

    3. The attempt at a solution
    This follows from a substitution of the form x=cost in a textbook I'm reading - they jump to the solution straight from the above and I have no idea how to go about it - any hints will be very gratefully appreciated, thanks :)
     
  2. jcsd
  3. Sep 15, 2014 #2

    pasmith

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    Hint: [tex]\int \frac{Au + B}{\sqrt u}\,du = \int Au^{1/2} + Bu^{-1/2}\,du.[/tex]
     
  4. Sep 15, 2014 #3
    Got it, thanks! Was that something you could spot or did you just know it from experience - I don't think I would ever have thought of something like that...
     
  5. Sep 15, 2014 #4

    SteamKing

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    You also should make an attempt to post HW in the correct HW forum. There is a perfectly good Calculus-HW forum listed right below this one, which is where this post belongs.
     
  6. Sep 15, 2014 #5

    berkeman

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    Staff: Mentor

    Thread moved to Calculus HH. :smile:
     
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