1. The problem is to determine the integral of $y \, dx$. 2. To solve this, we need the function $y$ expressed in terms of $x$. Without a specific function for $y$, the integral cannot be evaluated explicitly. 3. If $y$ is a function of $x$, say $y = f(x)$, then the integral is $$\int y \, dx = \int f(x) \, dx.$$ 4. This integral represents the antiderivative of $f(x)$ with respect to $x$, plus a constant of integration $C$. 5. Please provide the explicit function $y = f(x)$ to proceed with the integration.