Change of Variables & the Jacobian · Hard problem

Let $R$ be the region where $1 \le \dfrac{x^2}{4} + \dfrac{y^2}{9} \le 4$ and $0 \le y \le \dfrac{3x}{2}$. Evaluate $\displaystyle\iint_R \dfrac{dA}{\dfrac{x^2}{4} + \dfrac{y^2}{9}}$.