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Description of Simpson's Rule

A function f is given by the following table:

x= 0 1 2 3 4
f(x)= 9 2 2 8 5

Approximate the area between the x-axis and y=f (x) from x=0 to x=4 using Simpson's Rule.

Solution Summary

The attached file contain an example of using Simpson's rule to approximate an area, made up of a page of calculations and brief explanation.