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

Solution 3.

[Graphics:../Images/SimpsonRuleMod_gr_163.gif]
[Graphics:../Images/SimpsonRuleMod_gr_164.gif]
[Graphics:../Images/SimpsonRuleMod_gr_165.gif]
[Graphics:../Images/SimpsonRuleMod_gr_166.gif] [Graphics:../Images/SimpsonRuleMod_gr_167.gif]
[Graphics:../Images/SimpsonRuleMod_gr_168.gif]

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003