To prove: The value of
Explanation of Solution
Given information:
The expression is
Calculation:
To prove that
Note that
Put in
Then gives,
The integral cannot equal 2 because the value of the integral must be less than or equal to 1.
A graphical representation of this problem is shown below:
The area under the curve of
and the base
Since the area of the curve can never be greater than 1, it must be less than or equal to 1.
Chapter 5 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning