Find the area bounded by the curves x = y2 - 4y and x = 2y - y2. your work must include an integral in one variable.

The curves x = y^2 - 4y and x = 2y - y^2 are two parabolas with vertices (-4,2) and (1,1), respectively.

The solutions (0,0) and (-3,3) of system give the common points of these parabolas.
The area is calculated in the image.

None of those are technically correct. 9.7 x 104 is actually 1,008.8, but if that answer was a choice, it would be that one. if you meant 9.7 times maybe a thousand or more or divided by 10 or more, than the answer choices would be correct, but other than that, they actually arent.