Numerical Method20755 marksNumerical: Simpson's 1/3 ruleSimpson's 1/3 rule
Calculate the integral value of the function given below from x = 1.8 to x = 3.4 using Simpson's 1/3 rule.
Calculate the integral value of the function given below from $x = 1.8$ to $x = 3.4$ using Simpson's 1/3 rule.
$$\begin{array}{c|cccccccc} x & 1.8 & 2.0 & 2.2 & 2.4 & 2.6 & 2.8 & 3.0 & 3.4 \ \hline f(x) & 0.003 & 0.778 & 1.632 & 2.566 & 3.579 & 4.672 & 7.097 & 8.429 \end{array}$$
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X 1.8 2.0 2.2 2.4 2.6 2.8 3.0 3.4 -------------------------------------------------------------- F(x) 0.003 0.778 1.632 2.566 3.579 4.672 7.097 8.429 Limits: $x = 1.8$ to $x = 3.4$ Spacing check: - 1.8 to 3.0: step $h = 0.2$ (equally spaced, 6 intervals) - 3.0 to 3.4: step $h = 0.4$ (unequal, sin...