Example 3.  Find the analytic value of the integral  [Graphics:Images/TrapezoidalRuleMod_gr_87.gif]  (i.e. find the "true value").   

Solution 3.

[Graphics:../Images/TrapezoidalRuleMod_gr_88.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_89.gif]


[Graphics:../Images/TrapezoidalRuleMod_gr_90.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_91.gif]

[Graphics:../Images/TrapezoidalRuleMod_gr_92.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_93.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004