Use the Trapezoidal Rule and Simpson's Rule to Approximate the Value

question 74

Short Answer

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Compare your result with the exact value of the integral. Please give the answer to four decimal places.
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Trapezoidal rule: __________
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Simpson's rule: __________
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Exact value: __________

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Definitions:

External Costs

Costs that are not borne by the producers or users of a product or service, but by society or the environment.

Polluting Firms

Companies that release harmful substances into the environment as a byproduct of their production processes.

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Emissions standards are government-imposed limits on the amount of pollutants that can be emitted by vehicles and other sources, to protect environmental and public health.

Marginal Social Benefit

The supplementary advantage to society from the production or utilization of an additional unit of a product or service.