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

Solution 9.

[Graphics:../Images/TrapezoidalRuleMod_gr_158.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_159.gif]


[Graphics:../Images/TrapezoidalRuleMod_gr_160.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_161.gif]


[Graphics:../Images/TrapezoidalRuleMod_gr_162.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_163.gif]


[Graphics:../Images/TrapezoidalRuleMod_gr_164.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_165.gif]


[Graphics:../Images/TrapezoidalRuleMod_gr_166.gif]
[Graphics:../Images/TrapezoidalRuleMod_gr_167.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004