What is the center of mass of the region bounded by and the line y=3?

A) (0,0)

B) (0,1)

c) (0,2)

d) (0,3)

Ok, I know the x-coordinate of the center of mass is 0 because this is an even function. The y-coordinate of the center of mass can be found by this correct? ?

If so I first must find the bounds. I set and get that the two graphs intersect at +- or

So if this correct then the y-coordinate of the center of mass is

I hope someone can check me up to here. Thanks.