Explanation Given information: If ∫ 0 2 f ( x ) d x = 0 , then f ( x ) = 0 for all 0 ≤ x ≤ 2 . Concept used: If the graph of f ( x ) lies partly below the x -axis and partly above the x -axis, or f ( x ) is positive for some values of x and negative for others but the area below the x -axis is around equal to the area above the x -axis, then the integral will be approximately zero. The graph for the integral ∫ 0 2 f ( x ) d x can be drawn as shown below

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 5, Problem 22SYU

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To indicate:

Whether the statement “If ∫02f(x)dx=0, then f(x)=0 for all 0≤x≤2 ” is true or false.

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Chapter 5, Problem 21SYU

Chapter 5, Problem 23SYU

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Chapter 5 Solutions

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To indicate: Whether the statement “If ∫ 0 2 f ( x ) d x = 0 , then f ( x ) = 0 for all 0 ≤ x ≤ 2 ” is true or false.

Solution Summary: The author explains that if the graph of f(x) lies partly below and partly above the x -axis, then the integral is approximately zero.

Videos

To indicate:

Whether the statement “If ∫02f(x)dx=0, then f(x)=0 for all 0≤x≤2 ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate: Whether the statement “If ∫ 0 2 f ( x ) d x = 0 , then f ( x ) = 0 for all 0 ≤ x ≤ 2 ” is true or false.

Solution Summary: The author explains that if the graph of f(x) lies partly below and partly above the x -axis, then the integral is approximately zero.

Videos

To indicate: Whether the statement “If ∫02f(x)dx=0, then f(x)=0 for all 0≤x≤2 ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate:

Whether the statement “If ∫02f(x)dx=0, then f(x)=0 for all 0≤x≤2 ” is true or false.