Example 2.  Numerically approximate the integral  [Graphics:Images/Simpson38RuleMod_gr_76.gif]  by using Simpson's 3/8 rule with  m = 10, 20, 40, 80,  and 160.

Solution 2.

We will use the subroutine for the solution.

[Graphics:../Images/Simpson38RuleMod_gr_77.gif]

[Graphics:../Images/Simpson38RuleMod_gr_78.gif]
[Graphics:../Images/Simpson38RuleMod_gr_79.gif]
[Graphics:../Images/Simpson38RuleMod_gr_80.gif]


[Graphics:../Images/Simpson38RuleMod_gr_81.gif]
[Graphics:../Images/Simpson38RuleMod_gr_82.gif]
[Graphics:../Images/Simpson38RuleMod_gr_83.gif]


[Graphics:../Images/Simpson38RuleMod_gr_84.gif]
[Graphics:../Images/Simpson38RuleMod_gr_85.gif]
[Graphics:../Images/Simpson38RuleMod_gr_86.gif]


[Graphics:../Images/Simpson38RuleMod_gr_87.gif]
[Graphics:../Images/Simpson38RuleMod_gr_88.gif]
[Graphics:../Images/Simpson38RuleMod_gr_89.gif]


[Graphics:../Images/Simpson38RuleMod_gr_90.gif]
[Graphics:../Images/Simpson38RuleMod_gr_91.gif]
[Graphics:../Images/Simpson38RuleMod_gr_92.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004