21. Using simepon's rule, evaluate Sande by
taking 6 qual fontanals,
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Simpson's Rule
Area \displaystyle={\int_{{a}}^{{b}}} f{{\left({x}\right)}}{\left.{d}{x}\right.}=∫
a
b
f(x)dx
\displaystyle\approx\frac{{\Delta{x}}}{{3}}{\left({y}_{{0}}+{4}{y}_{{1}}+{2}{y}_{{2}}+{4}{y}_{{3}}+{2}{y}_{{4}}+\right.}≈
3
Δx
(y
0
+4y
1
+2y
2
+4y
3
+2y
4
+ \displaystyle{\left.\ldots+{4}{y}_{{{n}-{1}}}+{y}_{{n}}\right)}…+4y
n−1
+y
n
)
where \displaystyle\Delta{x}=\frac{{{b}-{a}}}{{n}}Δx=
n
b−a
N
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