Concept explainers
Evaluate the function by interpreting it in terms of areas.
Answer to Problem 3RE
Area of the function is
Explanation of Solution
Given information:
The integral function is
The region lies between
The expression to find the value of the integral in terms of areas as shown below:
Here, area of the triangle as
Draw the diagram for the function of the triangle as shown in Figure 1.
Draw the diagram for the function of the quarter-circle as shown in Figure 2.
To find the area of the function using Figure 1 and Figure 2 as shown below:
Therefore, area of the function is
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