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Trapezoidal & Simpson's Rule
Have abscissas
xi
=
x
0 +
ih
,
i
= 0, 1, ...,
N
+ 1.
A function
f
(
x
) has known values
f
(
xi
) =
fi
.
Want to integrate
f
(
x
) between endpoints
a
&
b
.
Trapezoidal rule
(2-point closed formula):
Simpson's rule
(3-point closed formula):
Notes: