Example 8.  Find the analytic value of the integral  [Graphics:Images/TrapezoidalRuleMod_gr_151.gif]  (i.e. find the "true value").  

Solution 8.

[Graphics:../Images/TrapezoidalRuleMod_gr_152.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_153.gif]


[Graphics:../Images/TrapezoidalRuleMod_gr_154.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_155.gif]

[Graphics:../Images/TrapezoidalRuleMod_gr_156.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_157.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004