Concept explainers
To find: Whether the integral relation
Answer to Problem 10RQ
The integral relation
Explanation of Solution
Given:
The integral relation is
The region lies between
Theorem used:
1) If
2) If
Calculation:
Rearrange the left hand side part of equation (1) as shown below,
Consider the integral
The function
Substitute
Thus, the function is an odd function at
From the theorem used, as the function is an odd function, so the value of the function
Substitute
Thus, the left hand side part is equal to the right hand side part.
Therefore, the statement is true.
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