Use the Trapezoidal Rule and Simpson's Rule to Approximate the Value

question 14

Multiple Choice

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Find the exact value of the integral.

---

Definitions:

Soft Palate

The Soft Palate is the soft tissue constituting the back of the roof of the mouth, separating the mouth from the nasopharynx, and is crucial in swallowing and speech.

Hard Palate

The bony front part of the palate forming the roof of the mouth, separating the oral and nasal cavities.

Nasal Cavity

The nasal cavity is a large air-filled space behind the nose, involved in breathing, filtering, warming, and humidifying inhaled air; it also houses olfactory receptors involved in the sense of smell.

Pharynx

The Pharynx is the part of the throat behind the mouth and nasal cavity, leading to the esophagus and larynx, involved in breathing and swallowing.