Example 9.  Use the "true value" in example 8 and find the error for the Simpson rule approximations in example 7.  

Solution 9.

[Graphics:../Images/SimpsonRuleMod_gr_166.gif]
[Graphics:../Images/SimpsonRuleMod_gr_167.gif]

[Graphics:../Images/SimpsonRuleMod_gr_168.gif]
[Graphics:../Images/SimpsonRuleMod_gr_169.gif]

[Graphics:../Images/SimpsonRuleMod_gr_170.gif]
[Graphics:../Images/SimpsonRuleMod_gr_171.gif]

[Graphics:../Images/SimpsonRuleMod_gr_172.gif]
[Graphics:../Images/SimpsonRuleMod_gr_173.gif]

[Graphics:../Images/SimpsonRuleMod_gr_174.gif]
[Graphics:../Images/SimpsonRuleMod_gr_175.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004