Concept explainers
To Fill: The exact area under the graph of
Answer to Problem 2E
The exact area under the graph of
Explanation of Solution
To calculate areas under the graph divide the area by using
To achieve accuracy increase the number of rectangle.
Number of rectangle increases, error in calculation of area decreases.
Where,
Use summation and rewrite equation (1) as follows,
To get exact area take limit of above equation with
Thus, the value of exact area under the function
Chapter 13 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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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