Area Calculation using a 4th Degree Function

[color=#c51414]Simpson's 1st Rule assumes a 2nd degree equation[/color] [color=#b20ea8]Simpson's 2nd Rule assumes a 3rd degree equation[/color] Using GeoGebra we have used a 4th degree equation

As you can see visually, the 4th degree trend line is closer to the given points and therefore the area calculated should be more accurate!