From Rogawski $2$e section $16\mathrm{.}4,$ exercise $5.$

Integrate $f(x,y)=y(x^2+y^2{)}^{-1}$ over the region $D$:$y1\mathrm{.}5,x^2+y^{2}9$ using polar coordinates.

$($Use symbolic notation and fractions where needed.$)$

${}_{D}y(x^2+y^2{)}^{-1}dA=$ help $($fractions$).$