Concept explainers
To find: The area of region bounded by the graph of
Answer to Problem 40E
The area of region is
Explanation of Solution
Given information:
The given function is,
Given intervals
Concept used:
The area of a region;
Let
The given function is,
The area of the region bounded by the graph of
The dimensions of the rectangles;
And,
Given function;
Approximate the areas as the sum of the areas of
Apply Summation formula and properties.
Now,
Finally the exact area by taking the limit as
Therefore, the exact area is
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
- 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