Example 4.  Use the "true value" in example 3 and find the error for the trapezoidal rule approximations in example 2.  

Solution 4.

[Graphics:../Images/TrapezoidalRuleMod_gr_94.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_95.gif]


[Graphics:../Images/TrapezoidalRuleMod_gr_96.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_97.gif]


[Graphics:../Images/TrapezoidalRuleMod_gr_98.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_99.gif]


[Graphics:../Images/TrapezoidalRuleMod_gr_100.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_101.gif]


[Graphics:../Images/TrapezoidalRuleMod_gr_102.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_103.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004