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

Multiple Choice

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

A) 2.2028
B) 2.7519
C) 3.0265
D) 2.4774