Use Series to Approximate the Definite Integral to Within the Indicated

question 111

Multiple Choice

Use series to approximate the definite integral to within the indicated accuracy.
$$\int _ { 0 } ^ { 0.5 } x ^ { 2 } e ^ { - x ^ { 2 } } d x \quad | e r r o r | < 0.001$$

• A) \(0.0354\)
• B) \(0.0125\)
• C) \(0.0625\)
• D) \(0.1447\)
• E) \(0.2774\)

---

Definitions:

Market Equilibrium

The condition in a market where the quantity of a product demanded by consumers equals the quantity supplied by producers, resulting in a stable price.

Good

A tangible product that satisfies human wants or needs and can be transferred or traded.

Sellers

Sellers refer to individuals or entities that offer goods or services for sale to consumers or other businesses in the market.

Buyers

Participants in the market who purchase goods or services for consumption or investment.