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

question 33

Essay

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. Trapezoidal rule: __________
Simpson's rule: __________
Exact value: __________

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Definitions:

Recession

A temporary economic slump, associated with a drop in business and manufacturing activities, commonly distinguished by a successive decline in GDP across two quarters.

Cyclical Unemployment

Cyclical unemployment is the component of overall unemployment that results from economic recessions or expansions, influenced by the business cycle.

Economy

An area or system in which goods and services are produced, distributed, and consumed by various agents, encompassing local to global scales.

Recession

A significant decline in economic activity spread across the economy, lasting more than a few months, typically visible in real GDP, real income, employment, industrial production, and wholesale-retail sales.