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

Solution 4.

[Graphics:../Images/SimpsonRuleMod_gr_105.gif]
[Graphics:../Images/SimpsonRuleMod_gr_106.gif]

[Graphics:../Images/SimpsonRuleMod_gr_107.gif]
[Graphics:../Images/SimpsonRuleMod_gr_108.gif]

[Graphics:../Images/SimpsonRuleMod_gr_109.gif]
[Graphics:../Images/SimpsonRuleMod_gr_110.gif]

[Graphics:../Images/SimpsonRuleMod_gr_111.gif]
[Graphics:../Images/SimpsonRuleMod_gr_112.gif]

[Graphics:../Images/SimpsonRuleMod_gr_113.gif]
[Graphics:../Images/SimpsonRuleMod_gr_114.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004