Question Determine the absolute error when using the trapezoidal rule to find (2x³+4x) dx using 4 subintervals. Enter an exact value. Do not enter the answer as a percent. Provide your answer below:

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine the absolute error when using the trapezoidal rule to find \(\int_{0}^{2}(2x^3 + 4x) \, dx\) using 4 subintervals. Enter an exact value. Do not enter the answer as a percent.

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This educational resource asks students to calculate the absolute error in numerical integration using the trapezoidal rule. The task involves evaluating the integral of the function \(2x^3 + 4x\) over the interval from 0 to 2, divided into four equal parts. Students are instructed to provide an exact value for the error rather than a percentage.
Transcribed Image Text:**Question** Determine the absolute error when using the trapezoidal rule to find \(\int_{0}^{2}(2x^3 + 4x) \, dx\) using 4 subintervals. Enter an exact value. Do not enter the answer as a percent. **Provide your answer below:** [Answer Box] [Submit Button] This educational resource asks students to calculate the absolute error in numerical integration using the trapezoidal rule. The task involves evaluating the integral of the function \(2x^3 + 4x\) over the interval from 0 to 2, divided into four equal parts. Students are instructed to provide an exact value for the error rather than a percentage.
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