Concept explainers
To find: the area of region bounded by the graph of the function and the x-axis over the specified interval.
Answer to Problem 38E
The area of bounded region is
Explanation of Solution
Given:
Calculation:
To find the area of the region between thegraph of the function and the x-axis over the specified interval use the formula:
First find the summation as a rational function of n, say
Now, take the limit of
Conclusion:
Therefore,the area of bounded region is
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning