Let $f(0)=1,f(0.5)=\large\frac{5}{4}$$, f(1)=2,f(1.5)=\large\frac{13}{4}$ and $f(2)=5$. Using Simpson's rule, $\int \limits_0^{2} f(x) dx=$

Question

$$\begin {array} {1 1} (a)\;\frac{14}{3} & \quad (b)\;\frac{7}{6} \\ (c)\;\frac{14}{9} & \quad (d)\;\frac{7}{9} \end {array}$$