Concept explainers
Explain the step by step process to find the area under the given graph and between the x-axis values.
Explanation of Solution
Given:
The given function is
Calculation:
Graph of the function is
In the graph,
The length of the entire interval from
The width of each of the
The area of the first rectangle
The area of the second rectangle
The area of the
Total area
To make the width of the rectangles approach
Therefore, the exact area of the region under the graph of the function is
This limit is called a definite integral and is denoted by
So, the exact area formula for the region under the graph of the function is
Hence the steps are given below.
First find
Then find
In third step, substitute the value of
Chapter 15 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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