Sketch the region enclosed by the given curves. Decide whether to integrate.

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Homework Help Overview

The discussion revolves around sketching the region enclosed by given curves and deciding on the appropriate method for integration, focusing on the area calculation between two curves.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss how to determine whether to integrate the difference of the curves in one order or the other, referencing the graphical representation for clarity. There is also a mention of a negative area result prompting a check for errors in calculations.

Discussion Status

Some participants have provided guidance on interpreting the curves and the integration process. There appears to be a productive exchange of ideas, with some confirming understanding of the concepts involved.

Contextual Notes

There is a concern regarding the negative area result, which raises questions about potential mistakes in the calculations or assumptions made during the problem setup.

phillyolly
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Homework Statement


Sketch the region enclosed by the given curves. Decide
whether to integrate with respect to x or y. Draw a typical approximating
rectangle and label its height and width. Then find the
area of the region.

Homework Equations


The Attempt at a Solution


My result gave me an answer "-20". The area cannot be negative, please check my answer for a mistake?
 

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If you want to find the area between two curves f(x) and g(x), how do you know whether to integrate f(x)-g(x) or g(x)-f(x)? Use your graph.
 
OK, I got it. This is my try. Thank you.
 

Attachments

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Yes, that's right.
 

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