Numerical Integration
Numerical Integration
Numerical Integration
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Simpson’s 1/3 Rule: Example<br />
f<br />
(0)<br />
=<br />
0.2<br />
f<br />
(0.4)<br />
=<br />
2.456<br />
f<br />
(0.8)<br />
=<br />
0.232<br />
I<br />
≅<br />
⎛ 0.2 + 4(2.456) + 0.232 ⎞<br />
0 .8<br />
⎜<br />
⎟ =<br />
⎝ 6 ⎠<br />
1.36746667<br />
• Better than with Trapezoidal Rule with two<br />
segments (1.0688)<br />
© 2003-2006 Roberto Muscedere 22