Example 7.  Numerically approximate the integral  [Graphics:Images/BooleRuleMod_gr_129.gif]  by using Boole's rule with  m = 1, 2, 4, 8, 16, and 32.

Solution 7.

We will use the subroutine for the solution.

[Graphics:../Images/BooleRuleMod_gr_130.gif]

[Graphics:../Images/BooleRuleMod_gr_131.gif]
[Graphics:../Images/BooleRuleMod_gr_132.gif]
[Graphics:../Images/BooleRuleMod_gr_133.gif]


[Graphics:../Images/BooleRuleMod_gr_134.gif]
[Graphics:../Images/BooleRuleMod_gr_135.gif]
[Graphics:../Images/BooleRuleMod_gr_136.gif]


[Graphics:../Images/BooleRuleMod_gr_137.gif]
[Graphics:../Images/BooleRuleMod_gr_138.gif]
[Graphics:../Images/BooleRuleMod_gr_139.gif]


[Graphics:../Images/BooleRuleMod_gr_140.gif]
[Graphics:../Images/BooleRuleMod_gr_141.gif]
[Graphics:../Images/BooleRuleMod_gr_142.gif]


[Graphics:../Images/BooleRuleMod_gr_143.gif]
[Graphics:../Images/BooleRuleMod_gr_144.gif]
[Graphics:../Images/BooleRuleMod_gr_145.gif]


[Graphics:../Images/BooleRuleMod_gr_146.gif]
[Graphics:../Images/BooleRuleMod_gr_147.gif]
[Graphics:../Images/BooleRuleMod_gr_148.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004