Sketch the area represented by g(x). Then find g′(x) in two ways: (a) by using Part 1 of the Fundamental Theorem and (b) by evaluating the
a)
To calculate: The
Answer to Problem 6E
The
Explanation of Solution
Given information:
Calculation:
Show the integral function as shown below:
Here,
Draw the area represented
Show the part 1 of fundamental theorem of calculus as shown below:
Comparing Equation (1), (2) and (3).
Therefore, get the value of
(b)
The value for
Answer to Problem 6E
The
Explanation of Solution
Given information:
Calculation:
Apply the integral evaluation method:
Differentiate with respect to x.
Therefore, get the value of
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