$R$

The region $R$ is bounded by the $x$-axis, $y$-axis, and the line in the graph and has a constant density. To find the centroid of the region you would compute $\int\int_R dA=\int_c^d\int_{p(x)}^{q(x)}dydx, \int_c^d\int_{p(x)}^{q(x)}x\,dydx,$ and $\int_c^d\int_{p(x)}^{q(x)}y\,dydx$ where

$c =$
$d =$
$p(x) =$
$q(x) =$
$\int_c^d\int_{p(x)}^{q(x)}dydx =$
$\int_c^d\int_{p(x)}^{q(x)}x\,dydx =$
$\int_c^d\int_{p(x)}^{q(x)}y\,dydx =$

and finally the centroid is

$\overline {x} =$
$\overline {y} =$