Numerical Integration
Numerical Integration
Numerical Integration
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Trapezoidal Rule<br />
• Trapezoidal Rule is the first of the Newton-<br />
Cotes closed integration formulas (n=1)<br />
I<br />
b<br />
= ∫ f x)<br />
dx ≅<br />
∫ ( )<br />
a<br />
b<br />
( f x dx<br />
1<br />
f ( b)<br />
− f ( a)<br />
f ( x)<br />
= f ( a)<br />
+<br />
( x − a)<br />
1 b − a<br />
• f 1 (x) () is a straight line<br />
a<br />
© 2003-2006 Roberto Muscedere 3