Just wondering. Is there a density function given? Or something that describes the density of the lamina that we are finding the center of gravity?

If so, then there are two formulas for the coordinates of the center of gravity:

However, if there is no information on the density, I would probably assume it to be constant everywhere. This will give us a special case of the center of gravity. Treating as a constant, we see now that

This gives us the coordinates of thecentroid.

Does this help?

--Chris