# Homework Help: Interesting integration problem

1. Apr 2, 2012

### collpitt

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.

Thank you.

2. Apr 2, 2012

### Robert1986

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?

3. Apr 3, 2012

### collpitt

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!

4. Apr 3, 2012

### Robert1986

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.