Example 1.  Numerically approximate the integral  [Graphics:Images/BooleRuleMod_gr_60.gif]  by using Boole's rule with  m = 1, and 2.

Solution 1.

[Graphics:../Images/BooleRuleMod_gr_61.gif]

[Graphics:../Images/BooleRuleMod_gr_62.gif]

[Graphics:../Images/BooleRuleMod_gr_63.gif]

We will use simulated hand computations for the solution.

[Graphics:../Images/BooleRuleMod_gr_64.gif]

[Graphics:../Images/BooleRuleMod_gr_65.gif]
[Graphics:../Images/BooleRuleMod_gr_66.gif]
[Graphics:../Images/BooleRuleMod_gr_67.gif]


[Graphics:../Images/BooleRuleMod_gr_68.gif]
[Graphics:../Images/BooleRuleMod_gr_69.gif]
[Graphics:../Images/BooleRuleMod_gr_70.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004