$(3)$ Evaluate ${}_R\frac{y}{x}dA$ where $R$ is the region bounded by $y=0,y=0\mathrm{.}5x,x=\sqrt[\phantom{2}]{1+y^2},$ and $x=\sqrt[\phantom{2}]{4+y^2}.$ Round to the nearest tenth. Hint: $u=x^2-y^2$ and $v=\frac{y}{x}.$