Concept explainers
(a)
The sum value of the function using computer algebra system.
(a)
Answer to Problem 6RE
The sum value of the function is 5,220.
Explanation of Solution
Given information:
The function as
The region lies between
The expression to find the sum value when the sample points at right endpoints are shown below:
Here, the height of sample at the right endpoint is
Find the width
Here, the upper limit is b, the lower limit is a, and the number of rectangles is n.
Substitute 5 for b and 1 for a in Equation (2).
To find the value of
Substitute 1 for a and
Substitute
Substitute
Therefore, the sum value of the function is 5,220.
(b)
The value of the integral using the fundamental theorem.
(b)
Answer to Problem 6RE
The value of the integral is 5,220.
Explanation of Solution
Given information:
The function as
The region lies between
The expression to find the value of the integral using the fundamental theorem is shown below:
Therefore, the value of the integral using the fundamental theorem is 5,220.
Chapter 5 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- 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