Using Simpson's Rule with N = 6, the Approximated Value $\int _ { \frac { \pi } { 2 } } ^ { \frac { 3 \pi } { 2 } } \frac { \sin x } { x } d x,$

Multiple Choice

Using Simpson's Rule with n = 6, the approximated value of $\int _ { \frac { \pi } { 2 } } ^ { \frac { 3 \pi } { 2 } } \frac { \sin x } { x } d x,$ to three decimal places, is

A) $0.546$
B) $0.437$
C) $0.758$
D) $0.397$
E) $0.238$