### Find the centroid of the region in the first quadrant bounded by the given curves y=x^3 and x=y^3

Expert Answer: As discussed above, the region formed by the two curves is shown in Figure 1. We will find the centroid of the region by finding its area and its moments. There will be two moments for this region, $x$-moment, and $y$-moment. We divide $y$-moment by the area to get $x$-coordinate and divide the […]