Example 2.  Numerically approximate the integral  [Graphics:Images/BooleRuleMod_gr_71.gif]  by using Boole's rule with  m = 1, 2, 4, 8,  and 16.

Solution 2.

We will use the subroutine for the solution.

[Graphics:../Images/BooleRuleMod_gr_72.gif]

[Graphics:../Images/BooleRuleMod_gr_73.gif]
[Graphics:../Images/BooleRuleMod_gr_74.gif]
[Graphics:../Images/BooleRuleMod_gr_75.gif]


[Graphics:../Images/BooleRuleMod_gr_76.gif]
[Graphics:../Images/BooleRuleMod_gr_77.gif]
[Graphics:../Images/BooleRuleMod_gr_78.gif]


[Graphics:../Images/BooleRuleMod_gr_79.gif]
[Graphics:../Images/BooleRuleMod_gr_80.gif]
[Graphics:../Images/BooleRuleMod_gr_81.gif]


[Graphics:../Images/BooleRuleMod_gr_82.gif]
[Graphics:../Images/BooleRuleMod_gr_83.gif]
[Graphics:../Images/BooleRuleMod_gr_84.gif]


[Graphics:../Images/BooleRuleMod_gr_85.gif]
[Graphics:../Images/BooleRuleMod_gr_86.gif]
[Graphics:../Images/BooleRuleMod_gr_87.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004