Approximate the Value of the Definite Integral

question 111

Essay

Approximate the value of the definite integral. Use the trapezoidal rule. Please give the answer to four decimal places.
Use the Simpson's rule. Please give the answer to four decimal places.
Find the exact value of the integral. Please give the answer to four decimal places.

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Definitions:

Environment

pertains to the surrounding conditions or context in which a person, plant, or animal operates, affecting growth, development, and survival.

Hormones

Chemical substances produced in the body that regulate and control the activity of certain cells or organs, crucial for bodily functions.

Genes

Basic units of heredity that are made up of DNA and determine specific characteristics by encoding proteins.

Hereditary Information

consists of the genetic data and characteristics passed from parents to offspring, determining various aspects of physical appearance and predispositions to certain health conditions.