Example 9.  Use the "true value" in example 8 and find the error for the Simpson's 3/8 rule approximations in example 7.  

Solution 9.

[Graphics:../Images/Simpson38RuleMod_gr_162.gif]
[Graphics:../Images/Simpson38RuleMod_gr_163.gif]


[Graphics:../Images/Simpson38RuleMod_gr_164.gif]
[Graphics:../Images/Simpson38RuleMod_gr_165.gif]


[Graphics:../Images/Simpson38RuleMod_gr_166.gif]
[Graphics:../Images/Simpson38RuleMod_gr_167.gif]


[Graphics:../Images/Simpson38RuleMod_gr_168.gif]
[Graphics:../Images/Simpson38RuleMod_gr_169.gif]


[Graphics:../Images/Simpson38RuleMod_gr_170.gif]
[Graphics:../Images/Simpson38RuleMod_gr_171.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004