Maples method for finding the area of a shape

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I have been given an assignment on irregular shapes in which I have to find the area of a shape using the Monte Carlo method, Simpson's Rule and Maples Method. While I have been able to find how to do the Monte Carlo method and Simpson's Rule, I have been unable to find any real information on how to do Maples' Method.

Any information on how to do this would be much appreciated.

Thanks in advance.