Example 6.  Numerically approximate the integral [Graphics:Images/Simpson38RuleMod_gr_124.gif] by using Simpson's 3/8 rule with  m = 1, 2, 4.

Solution 6.

We will use simulated hand computations for the solution.

[Graphics:../Images/Simpson38RuleMod_gr_125.gif]

[Graphics:../Images/Simpson38RuleMod_gr_126.gif]

[Graphics:../Images/Simpson38RuleMod_gr_127.gif]

[Graphics:../Images/Simpson38RuleMod_gr_128.gif]

[Graphics:../Images/Simpson38RuleMod_gr_129.gif]
[Graphics:../Images/Simpson38RuleMod_gr_130.gif]
[Graphics:../Images/Simpson38RuleMod_gr_131.gif]


[Graphics:../Images/Simpson38RuleMod_gr_132.gif]
[Graphics:../Images/Simpson38RuleMod_gr_133.gif]
[Graphics:../Images/Simpson38RuleMod_gr_134.gif]


[Graphics:../Images/Simpson38RuleMod_gr_135.gif]
[Graphics:../Images/Simpson38RuleMod_gr_136.gif]
[Graphics:../Images/Simpson38RuleMod_gr_137.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004