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

question 142

Short Answer

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite 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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Definitions:

Index

A statistical measure of change in a representative group of individual data points, often used in finance to track the performance of markets or sectors.

Stock Split

A corporate action where a company divides its existing shares into multiple shares, effectively reducing the price of an individual share for investors while keeping the overall market capitalization the same.

Value-Weighted Index

An stock index in which each component is weighted according to its market value.

Price-Weighted Index

A stock market index in which each company's stock is included in proportion to its share price, meaning higher-priced stocks have more influence on the index's performance.