Example 4.  Use the "true value" in example 3 and find the error for the Simpson' 3/8 rule approximations in example 2.  

 

Solution 4.

[Graphics:../Images/Simpson38RuleMod_gr_103.gif]
[Graphics:../Images/Simpson38RuleMod_gr_104.gif]


[Graphics:../Images/Simpson38RuleMod_gr_105.gif]
[Graphics:../Images/Simpson38RuleMod_gr_106.gif]


[Graphics:../Images/Simpson38RuleMod_gr_107.gif]
[Graphics:../Images/Simpson38RuleMod_gr_108.gif]


[Graphics:../Images/Simpson38RuleMod_gr_109.gif]
[Graphics:../Images/Simpson38RuleMod_gr_110.gif]


[Graphics:../Images/Simpson38RuleMod_gr_111.gif]
[Graphics:../Images/Simpson38RuleMod_gr_112.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004