Using Simpson's Rule with N = 4, the Approximated Value $\int _ { 0 } ^ { 1 } e ^ { x ^ { 2 } } d x,$

Multiple Choice

Using Simpson's Rule with n = 4, the approximated value of $\int _ { 0 } ^ { 1 } e ^ { x ^ { 2 } } d x,$ to three decimal places, is

A) $1.987$
B) $1.767$
C) $1.463$
D) $1.592$
E) 1 $.237$