Use Simpson's Rule With $n = 6$ To Estimate the Length of the Curve

question 26

Multiple Choice

Use Simpson's Rule with $n = 6$ to estimate the length of the curve $y = 3 \sin x , 0 \leq x \leq \pi$ . Round your answer to six decimal places.

• A) \(6.987208\)
• B) \(6.947368\)
• C) \(6.972089\)
• D) \(6.947582\)
• E) None of these

---

Definitions:

Depression

A mental health disorder identified by constant sentiments of gloom, hopelessness, and a lack of inclination or pleasure in engagements.

Childhood Anxiety

A condition marked by excessive worry or fear in children, which can impact their social, academic, and personal functioning.

Coordinated Motor Activities

The ability to execute smooth, accurate, and controlled motor actions, often involving the integration of movements across multiple body parts and sensory systems.

Social Anxiety Disorder

A mental health condition characterized by intense fear and avoidance of social situations due to perceived judgement, embarrassment, or scrutiny by others.