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The function is $\"\"$ and interval is $\"\"$ .

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(a)

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Determine the area of the curve using four rectangles from $\"\"$ to $\"\"$ using right endpoint.

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Number of intervals $\"\"$ .

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Area is the sum of areas of the $\"\"$ rectangles.

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Width of the each rectangle : $\"\"$ .

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The rectangle repeat for $\"\"$ and $\"\"$ .

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Right endpoints are $\"\"$ and $\"\"$ .

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Area under the graph of the function using right endpoints :

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$\"\"$

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$\"\"$

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Area of the graph of the function using right endpoints is $\"\"$ .

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Graph:

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Graph the function $\"\"$ using right endpoints.

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$\"\"$

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The graph of the function is decreasing function.

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From the graph of the function and rectangle, it is observed that the rectangular bars are below the graph of the curve.

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The estimation is an underestimate of the true area.

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(b)

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Left endpoints are $\"\"$ and $\"\"$ .

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Area under the graph of the function using left endpoints :

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$\"\"$ .

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$\"\"$

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Area of the graph of the function using left endpoints is $\"\"$ .

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Graph:

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Graph the function $\"\"$ using left endpoints.

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$\"\"$

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The graph of the function is decreasing function.

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From the graph of left end estimate $\"\"$ , it is observed that the bars are above the graph of the curve.

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Therefore, $\"\"$ is an overestimate of the area.

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Area of the graph of the function using right endpoints is $\"\"$ .

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$\"\"$

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$\"\"$ is an underestimate of the true area.

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(b)

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Area of the graph of the function using left endpoints is $\"\"$ .

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$\"\"$

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$\"\"$ is an overestimate of the area.

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