Using a graph, it can be seen that the curves $y=x+\ln(x)$ and $y=x^3-x$ intersect at the points $(0.447141, -0.357742)$ and $(1.507397, 1.917782).$ Find the coordinates (to three decimal places) of the centroid for the region bounded by these curves.

$\bar{x} =$

$\bar{y} =$