Use the Error Formula to Estimate the Error in Approximating $\int _ { 0 } ^ { \pi } 3 \cos x d x$

Multiple Choice

Use the error formula to estimate the error in approximating the integral $\int _ { 0 } ^ { \pi } 3 \cos x d x$ with $n = 6$ using Simpson's Rule. Round your answer to six decimal places.

A) $0.007084$
B) $0.141676$
C) $0.004723$
D) $0.003936$
E) $0.002530$