Is the following statement true or false? Please explain and justify your reasoning. If f takes on both positive and negative values, then the Riemann sum is the sum of the areas of rectangles that lie above the x-axis and the negatives of the areas of the rectangles that lie below the x-axis. Please include an example and use clear writing

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 40E
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Is the following statement true or false? Please explain and justify your reasoning. If f takes on both positive and negative values, then the Riemann sum is the sum of the areas of rectangles that lie above the x-axis and the negatives of the areas of the rectangles that lie below the x-axis. Please include an example and use clear writing
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