Consider the equation, f(x) = x*. (a) Using the trapezoidal method with 3 columns, estimate the value of the integral f² f(x)dx. (b) Using the trapezoidal method with 10 columns, estimate the value of the integral f² f(x)dx. You many need software to help you do this (e.g. MATLAB, Excel, Google sheets). (c) Use software to accurately calculate the integral (e.g. Wolfram alpha, Matlab). Using this answer, comment on the answers you found in parts a) and b).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 3E
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Consider the equation, f(x) = x*.
(a) Using the trapezoidal method with 3 columns, estimate the value of the integral f² f(x)dx.
(b) Using the trapezoidal method with 10 columns, estimate the value of the integral f² f(x)dx.
You many need software to help you do this (e.g. MATLAB, Excel, Google sheets).
(c) Use software to accurately calculate the integral (e.g. Wolfram alpha, Matlab). Using this
answer, comment on the answers you found in parts a) and b).
Transcribed Image Text:Consider the equation, f(x) = x*. (a) Using the trapezoidal method with 3 columns, estimate the value of the integral f² f(x)dx. (b) Using the trapezoidal method with 10 columns, estimate the value of the integral f² f(x)dx. You many need software to help you do this (e.g. MATLAB, Excel, Google sheets). (c) Use software to accurately calculate the integral (e.g. Wolfram alpha, Matlab). Using this answer, comment on the answers you found in parts a) and b).
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