Numerical analysis — composite Simpson's one-third rule

Let $y=f(x)$ take the values $y_0,y_1,\dots,y_n$ for $a=x_0$, $x_1=x_0+h$, …, $x_n=x_0+nh=b$. Then the value of $\int_a^bf(x)\,dx$ by Simpson's $\frac13$-rule is: