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Approximate the Value of the Definite Integral

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Approximate the value of the definite integral.
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.
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.


Definitions:

Direct Materials

Components and materials that are directly incorporated into a finished product and are a significant portion of manufacturing costs.

Direct Labor

The wages and related expenses for workers directly involved in the production of goods or the delivery of services.

Finished Goods Inventory

Inventory that has completed the manufacturing process and is ready to be sold to customers.

Cost of Goods Manufactured

The total cost incurred by a company to produce goods during a specific period, including materials, labor, and overhead.

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