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

Solution 4.

[Graphics:../Images/MidpointRuleMod_gr_91.gif]
[Graphics:../Images/MidpointRuleMod_gr_92.gif]


[Graphics:../Images/MidpointRuleMod_gr_93.gif]
[Graphics:../Images/MidpointRuleMod_gr_94.gif]


[Graphics:../Images/MidpointRuleMod_gr_95.gif]
[Graphics:../Images/MidpointRuleMod_gr_96.gif]


[Graphics:../Images/MidpointRuleMod_gr_97.gif]
[Graphics:../Images/MidpointRuleMod_gr_98.gif]


[Graphics:../Images/MidpointRuleMod_gr_99.gif]
[Graphics:../Images/MidpointRuleMod_gr_100.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004