# Reimman sums

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• Publicado : 22 de octubre de 2010

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I. Approximate the area under the following curves, using the rectangular method with an inscribed rectangular polygon using 5 intervals:
a. [pic] when [pic]
b. [pic] when [pic]c. [pic] when [pic]

II.- For each of the following exercises, find the area using all three rules: left endpoints, right endpoints and midpoints:
2. Use 4 rectangles to find the approximation ofthe region lying between the graph of the function [pic], the x axis and the lines x=0 , x=2.
3. Use 6 rectangles to find the approximation of the region lying between the graph of the function [pic],the x axis and the lines x=2 , x=5.
4. Use 8 rectangles to find the approximation of the region lying between the graph of the function [pic], the x axis and the lines x=2 , x=5.
5. Use 7rectangles to find the approximation of the region lying between the graph of the function [pic], the x axis and the lines x=2 , x=5.
6. Use 4 rectangles to find the approximation of the region lying betweenthe graph of the function [pic], the x axis and the lines x=2 , x=5.
7. Use 4 rectangles to find the approximation of the region lying between the graph of the function [pic], the x axis and thelines x=2 , x=5.
8. Use 7 rectangles to find the approximation of the region lying between the graph of the function [pic], the x axis and the lines x=2 , x=5.
9. Use 6 rectangles to find theapproximation of the region lying between the graph of the function [pic], the x axis and the lines x=2 , x=5.
10. Use 10 rectangles to find the approximation of the region lying between the graph of thefunction [pic], the x axis and the lines x=2 , x=5.
11. Approximate the area bounded by the function [pic] and the x axis on the interval [pic] using 4 rectangles

II.- Critical thinking: If g(x) is acontinuous function that contains the values in the following table
x |0 |1 |2 |3 |4 |5 |6 |7 |8 | |g(x) |2.1 |3.6 |5.1 |6.3 |6.9 |7.2 |7.3 |4 |3.2 | |Approximate the area bounded by g(x) and the x...