Explanation Given: The definite integral ∫ 0 2 π cos x 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 ∫ 0 2 π cos x 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 ) = cos x on the interval [ 0 , 2 π ]

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Chapter 4.3, Problem 11C

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Whether the definite integral ∫02πcosx dx is equal to a positive number, a negative number, or zero using the graphs.

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Chapter 4.3, Problem 10C

Chapter 4.3, Problem 12C

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Whether the definite integral ∫ 0 2 π cos x 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 ∫02πcosx dx is equal to a positive number, a negative number, or zero using the graphs.

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