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

question 3

Short Answer

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.
$$2 \int _ { 2 } ^ { 3 } e ^ { - \sqrt { x } } d x , n = 6$$

---

Definitions:

Oval Window

A membrane-covered opening that leads from the middle ear to the vestibule of the inner ear, where sound vibrations are transmitted.

Cochlea

A spiral-shaped, fluid-filled organ in the inner ear that is responsible for converting sound vibrations into nerve impulses that the brain can interpret as sound.

Inner Ear

The inner ear is the deepest part of the ear, containing the cochlea, vestibule, and semicircular canals, which are crucial for hearing and balance.

Hertz

The unit of frequency in the International System of Units (SI), defined as one cycle per second.