Concept explainers
To find: The area of the region under the given curve on
Answer to Problem 101RE
The required area is
Explanation of Solution
Given:
The given curve is
Concept used:
Suppose
Formula used:
Summation formula for
Summation formula for
Summation formula for constant function is given as follows:
Linear rule of summation is as follows:
Here,
Calculation:
Consider the given curve.
Here, the interval is
Therefore,
Therefore, width of each sub-interval will be as shown.
Now, the area of the region under the given curve can be calculated as shown.
Therefore, the exact area of the region under the given curve is
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
- 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