Using Simpson's Rule with N = 4, the Approximated Value $\int _ { \frac { 3 \pi } { 2 } } ^ { 2 \pi } \frac { \cos x } { x } d x,$

Multiple Choice

Using Simpson's Rule with n = 4, the approximated value of $\int _ { \frac { 3 \pi } { 2 } } ^ { 2 \pi } \frac { \cos x } { x } d x,$ to three decimal places, is

A) 0.148
B) 0.176
C) 0.227
D) 0.359
E) 0.237