(a)
To Prove: The value of
(a)
Explanation of Solution
Calculation:
Consider the given integral equation is,
Solve the left hand side as,
Solve further as,
Hence, proved.
(b)
To Find: The integral
(b)
Answer to Problem 40E
The sum of the series is
Explanation of Solution
Given:
The given formula for
Calculation:
Consider the expression
Then,
Therefore,
Then,
From part (a)
Hence, proved.
Chapter 8 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