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

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The discussion focuses on sketching the region enclosed by given curves and determining the appropriate variable for integration. Participants emphasize the importance of subtracting the lower curve from the upper curve to find the area, confirming that this method is correct. There is a reminder to multiply the result by two if the region is symmetric. Participants express frustration over consistently obtaining negative answers, indicating a need for clarity on the integration process. Understanding the reasoning behind these steps is crucial for accurate area calculations.
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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


I got a negative answer again :(
 

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Same answer as before. You subtract the curve on the top minus the curve on the bottom and integrate. Not vice versa.
 
Is this right?
 

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Yes, don't forget you were going to multiply by two. Are you sure you know why you can do that?
 

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