Example 7.  Numerically approximate the integral  [Graphics:Images/SimpsonRuleMod_gr_142.gif]  by using Simpson's rule with  m = 10, 20, 40, 80,  and 160  subintervals.

Solution 7.

We will use the subroutine for the solution.

[Graphics:../Images/SimpsonRuleMod_gr_143.gif]

[Graphics:../Images/SimpsonRuleMod_gr_144.gif]
[Graphics:../Images/SimpsonRuleMod_gr_145.gif]
[Graphics:../Images/SimpsonRuleMod_gr_146.gif]


[Graphics:../Images/SimpsonRuleMod_gr_147.gif]
[Graphics:../Images/SimpsonRuleMod_gr_148.gif]
[Graphics:../Images/SimpsonRuleMod_gr_149.gif]


[Graphics:../Images/SimpsonRuleMod_gr_150.gif]
[Graphics:../Images/SimpsonRuleMod_gr_151.gif]
[Graphics:../Images/SimpsonRuleMod_gr_152.gif]


[Graphics:../Images/SimpsonRuleMod_gr_153.gif]
[Graphics:../Images/SimpsonRuleMod_gr_154.gif]
[Graphics:../Images/SimpsonRuleMod_gr_155.gif]


[Graphics:../Images/SimpsonRuleMod_gr_156.gif]
[Graphics:../Images/SimpsonRuleMod_gr_157.gif]
[Graphics:../Images/SimpsonRuleMod_gr_158.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004