Use Simpson's Rule to Approximate the Integral with Answers Rounded $\int_{0}^{\pi / 2} \sqrt{4+\sin ^{2} x} d x ; \quad n=6$

Multiple Choice

Use Simpson's Rule to approximate the integral with answers rounded to four decimal places. $\int_{0}^{\pi / 2} \sqrt{4+\sin ^{2} x} d x ; \quad n=6$

A) 4.0689
B) 3.3296
C) 2.9599
D) 3.6993