Example 9.  Use the "true value" in example 8 and find the error for the midpoint rule approximations in exercise 7.  

Solution 9.

[Graphics:../Images/MidpointRuleMod_gr_155.gif]
[Graphics:../Images/MidpointRuleMod_gr_156.gif]

[Graphics:../Images/MidpointRuleMod_gr_157.gif]
[Graphics:../Images/MidpointRuleMod_gr_158.gif]

[Graphics:../Images/MidpointRuleMod_gr_159.gif]
[Graphics:../Images/MidpointRuleMod_gr_160.gif]

[Graphics:../Images/MidpointRuleMod_gr_161.gif]
[Graphics:../Images/MidpointRuleMod_gr_162.gif]

[Graphics:../Images/MidpointRuleMod_gr_163.gif]
[Graphics:../Images/MidpointRuleMod_gr_164.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004