Finding the exact coordinates of the centroid of a region

[jimen113]

1. Homework Statement [/b]
Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordinates of the centroid:

Homework Equations

I don't have the answer for this problem to check my work.

The Attempt at a Solution

see attachment

 

[HallsofIvy]

For $\overline{x}$, I would suggest that leaving the answer as 1/ln(2) would be preferable to "1.44".

For $\overline{y}$, (1/2)² seems to mysteriously become (1/2).