The error in Simpson's Three-eight rule is 

1
\(-\frac{(x_n-x_0)}{180} h^4f{''''}(t) \)
2
\(-\frac{(x_n-x_0)}{12} h^2f{''}(t) \)
3
\(-\frac{3}{80} h^5f{'''''}(t) \)
4
\(-\frac{3}{180} h^4f{''''}(t) \)

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