Which of the following formula is the Simpson's \(\rm \frac 3 8th\) rule for numerical integration?

• A. \(\rm \int^{x_n}_{x_0} ydx = \frac {3h}{8} (y_0 + y_n) + 3(y_1 + y_2 + y_4 + y_5 + y_7 + ...+y_{n-1}) + y_n\)
• B. \(\rm \int^{x_n}_{x_0} ydx = \frac {3h}{8} \{(y_0 + y_n) + 3(y_1 + y_2 + y_4 + y_5 + ...+y_{n-1}) + 2(y_3 + y_6 + ...+y_{n-2})\}\)
• C. \(\rm \mathop \smallint \nolimits_{{x_0}}^{{x_n}} ydx = \frac{{3h}}{8}\left\{ {\left( {\frac{{{y_0} + {y_n}}}{2}} \right) + 3\left( {{y_1} + {y_2} + \ldots + {y_{n - 1}}} \right) + 2\left( {{y_3} + {y_6} + \ldots {y_{n - 3}}} \right)} \right\}\)
• D. \(\rm \mathop \smallint \nolimits_{{x_0}}^{{x_n}} ydx = \frac{{3h}}{8}\left\{ {\left( {\frac{{{y_0} + {y_n}}}{2}} \right) + 3\left( {{y_1} + {y_2} + \ldots + {y_{n - 2}}} \right) + 2\left( {{y_3} + {y_6} + \ldots {y_{n - 3}}} \right)} \right\}\)