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

question 81

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

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Definitions:

Digestive Enzymes

Proteins secreted by the digestive system that break down food into nutrients that the body can absorb.

Prokaryotic

Referring to cells that lack a true nucleus and membrane-bound organelles, characteristic of bacteria and archaea.

Photosynthetic

The process by which green plants, algae, and some bacteria convert light energy into chemical energy stored in glucose or other sugars.

Protists

Eukaryotic organisms that may be unicellular, colonial, or simple multicellular; for example, algae, amoebas, ciliates, and slime molds.