Chemical Engineering
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Values of $f\left ( x \right )$ in the interval $\left [ 0,4 \right ]$ are given below.

$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline
&{x} & \text{0} & \text{1} & \text{2} & \text{3} & \text{4} \\ \hline &f(x) & \text{3} & \text{10} & \text{21} & \text{36} & \text{55} \\ \hline \end{array}$

Using Simpson’s $1/3$ rule with a step size of $1$, the numerical approximation (rounded off to the second decimal place) of $\int_{0}^{4}f\left ( x \right )dx$ is ______________
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