Integrasi 1 - Member of EEPIS-ITS
Integrasi 1 - Member of EEPIS-ITS
Integrasi 1 - Member of EEPIS-ITS
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Luas daerah yang dibatasi fungsi y=f(x) dan sumbu x, dihitung<br />
dengan aturan Simpson :<br />
h h h<br />
h<br />
h<br />
h<br />
L = 0 1<br />
1 2<br />
2 3<br />
3 4<br />
n−2<br />
n−1<br />
n−1<br />
+<br />
3 3 3<br />
3<br />
3<br />
3<br />
f(x 0 )<br />
( f + 2 f ) + ( 2 f + f ) + ( f + 2 f ) + ( 2 f + f ) + ... + ( f + 2 f ) + ( 2 f f )<br />
f(x 1 )<br />
f(x 2 )<br />
x 4<br />
x n-2<br />
x n-1<br />
x 0 x 1 x 2 x 3 x n<br />
a b<br />
x 5<br />
…<br />
f(x n-1 )<br />
f(x n )<br />
L<br />
Atau dapat ditulis :<br />
h ⎛<br />
= ⎜<br />
f + + ∑<br />
0 4 fi<br />
2<br />
3 ⎝ i ganjil i<br />
<strong>Integrasi</strong> 12<br />
+<br />
∑ i n<br />
f<br />
genap<br />
f<br />
n<br />
⎞<br />
⎟<br />
⎠
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