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Interesting integration problem

  1. Apr 2, 2012 #1
    1. The problem statement, all variables and given/known data
    In the given integral, both A and B are constants.


    2. Relevant equations

    ∫{[A+(1/x²-Bx)]^1/2}dx


    3. The attempt at a solution
    Well, I have solved the problem by expanding the root and considering the first two terms only,
    but it gives a very crude approximation of the required result.
    Anyone having any ideas or comments, please do reply.

    Thank you.
     
  2. jcsd
  3. Apr 2, 2012 #2
    Is this a problem in a homework or something? I can't see how to do it. Was it a definite or indefinite integral? If definite, can you do something numerical?
     
  4. Apr 3, 2012 #3
    Well actually it is sort of a homework problem and unfortunately, it is indefinite. I am looking for a numerical solution by defining the limits. It would be very helpful if you could give me a good algorithm for the numerical integration.

    Thank you!
     
  5. Apr 3, 2012 #4
    Well, for an algorithm, just google Simpson's Rule. (Try the 3/8 one first).

    But, I don't really see how this will help if the integral is indefinite. What you really need is an anti-derivative and I just don't think that a non-really-complicated one exists.
     
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