Question. Which of
the above three examples will give better results if the goal is to
obtain a numerical approximation of
Consider the following ratios for examples 2, 3, 4.
The "estimate" for the accuracy of the estimated areas will be
Let's see how to use this formula for the results of examples 1, 2, and 3.
Hence the simulation values in example 4 should be a little closer
the simulation values in examples 2 and 3.
Observation. Notice that when . This is a consequence of "filling up" .
(c) John H. Mathews 2005