Using Simpson's Rule with N = 4, the Approximated Value $\int _ { - 1 } ^ { 0 } \frac { 1 } { \sqrt { 1 - x ^ { 3 } } } d x,$

Multiple Choice

Using Simpson's Rule with n = 4, the approximated value of $\int _ { - 1 } ^ { 0 } \frac { 1 } { \sqrt { 1 - x ^ { 3 } } } d x,$ to three decimal places, is

A) $0.967$
B) $0.958$
C) $0.945$
D) $0.932$
E) $0.910$