To find: Whether the given statement is true or false.
Answer to Problem 5RQ
The given statement is false.
Explanation of Solution
Given:
The statement is that “If f is continuous
Calculation:
The statement is proved false by counter example.
Let the function
Substitute
Evaluate the integral
Evaluate the of the integral
From equations (3) and (4), it is observed that the values of the integral is not equal that is,
Hence, equation (1) is not true that is,
Therefore, the given statement is false.
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