Concept explainers
To Approximate: the area of the integral bounded by the given graph using the rectangles of equal width.
Answer to Problem 15CT
The approximated area of the region bounded by the graph
Explanation of Solution
Given information:
The graph of
Formula used:
Let n be the number of partition. Here
Also
So, the formula for step length will be
The area will be calculated by
Calculation:
Put
So,
Since
Now
Conclusion:
The approximated area of the region bounded by the graph
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning