To calculate:
The area under the following region:
Answer to Problem 44CLT
The area under the given region is
Explanation of Solution
Given information:
Formula Used:
The property of the summation is given by the following expression:
Calculation:
From the given figure, understand that:
Along the
Numbers of rectangles:
So, the width of the rectangles is given by:
By evaluating the function
So, the six intervals are given as:
That means:
The right end of each interval is
The sum of areas of six rectangles is given by:
Use the property of the summation:
Hence, the area under region is calculated as
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