Example
11. Let
over
. Use
Simpson's rule to approximate the value of the integral.
Solution 11.
|
m sample points |
Simpson[a,b,m] |
|
2 |
|
|
3 |
|
|
4 |
|
|
5 |
|
|
6 |
|
|
7 |
|
|
9 |
|
|
11 |
|
|
13 |
|
|
15 |
|
|
17 |
|
|
19 |
|
|
21 |
|
|
25 |
|
|
29 |
|
|
33 |
|
|
37 |
|
|
41 |
|
|
51 |
|
|
61 |
|
![[Graphics:../Images/SimpsonRuleMod_gr_211.gif]](../Images/SimpsonRuleMod_gr_211.gif)
Animation 1. ( Simpson's Rule Simpson's Rule ). Internet hyperlink.
(c) John H. Mathews 2004