Example 8.  Find the analytic value of the integral  [Graphics:Images/Simpson38RuleMod_gr_155.gif]  (i.e. find the "true value").   

Solution 8.

[Graphics:../Images/Simpson38RuleMod_gr_156.gif]
[Graphics:../Images/Simpson38RuleMod_gr_157.gif]


[Graphics:../Images/Simpson38RuleMod_gr_158.gif]
[Graphics:../Images/Simpson38RuleMod_gr_159.gif]

[Graphics:../Images/Simpson38RuleMod_gr_160.gif]
[Graphics:../Images/Simpson38RuleMod_gr_161.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004