Finding area between curves: choosing integration variable

[phillyolly]

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 :(

 

[Dick]

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

 

[phillyolly]

Is this right?

 

[Dick]

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