Find a Bound on the Error in Approximating the Definite

question 119

Essay

Find a bound on the error in approximating the definite integral Please round your answers to seven decimal places.
Using the trapezoidal rule with 6 intervals.
Using Simpson's rule with 6 intervals.

---

Definitions:

Cognitive Style

A characteristic mode of processing information, perceiving, and problem-solving, which can vary among individuals.

Cultural Background

The cultural environment and experiences that influence an individual's beliefs, values, and behaviors.

Expectation

A belief or anticipation about the outcome of an event or situation in the future.

Perceptual Constancy

A tendency of the human perception system to see familiar objects as having standard shape, size, color, and location regardless of changes in the angle of perspective, distance, and lighting.