Example 8.  Find the analytic value of the integral  [Graphics:Images/SimpsonRuleMod_gr_159.gif]  (i.e. find the "true value").   

Solution 8.

[Graphics:../Images/SimpsonRuleMod_gr_160.gif]
[Graphics:../Images/SimpsonRuleMod_gr_161.gif]


[Graphics:../Images/SimpsonRuleMod_gr_162.gif]
[Graphics:../Images/SimpsonRuleMod_gr_163.gif]

[Graphics:../Images/SimpsonRuleMod_gr_164.gif]
[Graphics:../Images/SimpsonRuleMod_gr_165.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004