Numerical Method20795 marksNumerical: Simpson's 1/3 rule integrationMulti-Segment Simpson's 1/3 rule
Simpson's 1/3 Rule Integration Estimate the integral value of the following function from x = 1.2 to x = 2.4 using Simpson's 1/3 rule.
Simpson's 1/3 Rule Integration
Estimate the integral value of the following function from $x = 1.2$ to $x = 2.4$ using Simpson's 1/3 rule.
$$\begin{array}{c|cccccccc} x & 1.0 & 1.2 & 1.4 & 1.6 & 1.8 & 2.0 & 2.2 & 2.4 & 2.6 \ \hline f(x) & 1.53 & 2.25 & 3.18 & 4.32 & 5.67 & 7.23 & 8.98 & 10.94 & 13.08 \end{array}$$
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$x$ 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 -------------------------------------------------- $f(x)$ 1.53 2.25 3.18 4.32 5.67 7.23 8.98 10.94 13.08 Integration limits: $x = 1.2$ to $x = 2.4$ Step size: $h = 0.2$ $$h = 0.2, \quad n = \frac{2.4 - 1.2}{0.2} = 6 \quad (\text{even, so Simpson's 1/3 appli...