(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.

x+y^2=6

x+y=0

2. Relevant equations

none, just using integrals...

3. The attempt at a solution

I sketch the two curves and find they intersect at x=-3 and x=2. Looking at it I want to integrate with respect to x.

y=[tex]\sqrt{-x+6}[/tex] appears to be the top function, while y=-x is the lower function.

I set up an integral from -3 to 2 that consists of: [tex]\sqrt{-x+6}[/tex] - (-x) dx.

I evaluate using substitution and keep getting 10.16, which the homework website I'm using says is wrong. Not sure what I'm doing incorrectly here.

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# Homework Help: Another problem involving computing area with integrals

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