Use the Midpoint Rule to Approximate the Given Integral with the Specified

question 104

Multiple Choice

Use the Midpoint Rule to approximate the given integral with the specified value of n. Compare your result to the actual value. Find the error in the approximation. $2 \int_{2}^{3} e^{-\sqrt{x}} d x, \quad n=6$

• A) \(-0.00008\)
• B) \(0.60004\)
• C) 0.00008
• D) 1.00008
• E) \(-0.00096\)

---

Definitions:

Imprinting

A rapid learning process that occurs in some animals in a limited time period after birth, leading to recognition and attraction to a particular stimulus or individual.

Conservation

Conservation involves the protection, preservation, management, or restoration of natural environments, ecosystems, vegetation, and wildlife to prevent exploitation and degradation.

Egocentrism

A cognitive stance involving seeing the world solely from one’s own perspective and having difficulty recognizing other viewpoints.

Basic Trust

A foundational sense of confidence in the predictability and reliability of the world, often established in early childhood.