1. The problem is to evaluate the double integral $$\iint dx\,dy$$ over a given region. 2. The formula for a double integral over a region $R$ is: $$\iint_R f(x,y)\,dx\,dy$$ where $f(x,y)$ is the function being integrated. 3. Since the integrand is 1 (because $dx\,dy$ means integrating the function $f(x,y)=1$), the double integral represents the area of the region $R$. 4. Without specific limits or region $R$ given, the integral cannot be evaluated numerically. 5. If the region $R$ is known, the integral equals the area of $R$: $$\iint_R 1\,dx\,dy = \text{Area}(R)$$ 6. Important rule: The order of integration $dx\,dy$ means integrate with respect to $x$ first, then $y$. 7. To solve such problems, always identify the region $R$ and set the limits accordingly. Since no region or limits are provided, the integral is expressed as the area of the region $R$. Final answer: $$\iint_R dx\,dy = \text{Area}(R)$$