Numerical Integration
Numerical Integration
Numerical Integration
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Simpson’s 1/3 Rule<br />
• Substituting Simpson’s 1/3 rule for each<br />
integral yields:<br />
I<br />
≅<br />
+<br />
f<br />
(<br />
x<br />
)<br />
+<br />
4<br />
f<br />
(<br />
x<br />
)<br />
+<br />
f<br />
(<br />
x<br />
0 1<br />
2 h<br />
2<br />
f ( x ) + 4 f ( x ) + f ( x )<br />
2h<br />
2 3 4<br />
6<br />
f ( x ) + 4 f ( x<br />
+ L<br />
+ 2hh<br />
n−<br />
n−<br />
6<br />
6<br />
)<br />
)<br />
+<br />
( x<br />
2 1 n<br />
f<br />
)<br />
© 2003-2006 Roberto Muscedere 24