By Simpson’s 3/8th rule, the integral \(\mathop \smallint \limits_{x_0}^{x_3} y ~dx\)

1
\(\frac{3h}{8}(y_0+3y_1+3y_2+y_3)\)
2
\(\frac{h}{2}(y_0+4y_1+2y_2+y_3)\)
3
\(\frac{3h}{8}(y_0+3y_1+2y_2+y_3)\)
4
\(\frac{h}{2}(y_0+3y_1+3y_2+y_3)\)

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