Approximating the Area of a Plane Region In Exercises 1-6, use the rectangles to approximate the area of the region. Compare your result with the exact area obtained using a definite integral. See Example 1.
To calculate: The area bounded by the function
Given Information:
The provided function is
Formula used:
The approximate area of any definite integral
Step1: First divide the provided interval of the function into n sub intervals by the use of formula;
Step2: Use above subinterval find the midpoint of each sub interval.
Step3: Final step is to obtain approximate area by calculating function f at each mid-point from the use of formula;
Calculation:
Consider the provided function
In provided graph, interval
Now, put
Width
So, the interval
Now, the value of midpoint of each rectangle is calculated as;
So, for first rectangle
Similarly, for second rectangle
For third rectangle
For last rectangle
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