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) $0.747$
B) $0.176$
C) $0.285$
D) $0.359$
E) $0.237$