9.1.13 Double integrals

Problem: Find the double integral of the given function \( f(x, y) \) in the given area \( G \) : \[ \begin{array}{l} f(x, y)=e^{-\left(\frac{x}{a}\right)^{2}-\left(\frac{y}{b}\right)^{2}} \\ G:\left(\frac{x}{a}\right)^{2}+\left(\frac{y}{b}\right)^{2} \geq 1, \quad \iint_{G} f(x, y) d x d y-? \end{array} \]