Use Simpson's Rule with N = 4 Steps to Estimate $$\int _ { - \pi } ^ { 0 } \sin x d x$$

Multiple Choice

Use Simpson's Rule with n = 4 steps to estimate the integral.
- $$\int _ { - \pi } ^ { 0 } \sin x d x$$

A) $- \frac { 1 + 2 \sqrt { 2 } } { 6 } \pi$
B) $- ( 1 + 2 \sqrt { 2 } ) \pi$
C) $- \frac { 1 + \sqrt { 2 } } { 4 } \pi$
D) $- \frac { 2 + \sqrt { 2 } } { 6 } \pi$