Explanation Given: The definite integral ∫ − 3 3 | x 2 − 4 | d x . Concept Used: The definite integral ∫ a b f ( x ) d x represents the area between the graph of f ( x ) and x -axis on the interval [ a , b ] . The area that is bounded by the graph of f ( x ) above the x -axis is positive. The area that is bounded by the graph of f ( x ) below the x -axis is negative. Calculation: In order tocheckwhether the definite integral ∫ − 3 3 | x 2 − 4 | d x is equal to a positive number, a negative number, or zero, use a graphing calculator to plot the graph of the function f ( x ) = | x 2 − 4 | on the interval [ − 3 , 3 ]

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Question

Chapter 4.3, Problem 10C

To determine

Whether the definite integral ∫−33|x2−4| dx is equal to a positive number, a negative number, or zero using the graphs.

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Chapter 4.3, Problem 9C

Chapter 4.3, Problem 11C

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Whether the definite integral ∫ − 3 3 | x 2 − 4 | d x is equal to a positive number, a negative number, or zero using the graphs.

Solution Summary: The author analyzes whether the definite integral displaystyle 'int' is equal to a positive or negative number using graphs.

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Whether the definite integral ∫−33|x2−4| dx is equal to a positive number, a negative number, or zero using the graphs.

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