1. Let's clarify the problem: You are asking about an integral where the limits are from 1 to 5, and you mention it is "on the y" which suggests the integral might be with respect to $y$. 2. When integrating with respect to $y$, the limits correspond to values of $y$, not $x$. So if the integral is $$\int_1^5 f(y) \, dy,$$ the variable of integration is $y$ and the limits are from $y=1$ to $y=5$. 3. The integral's limits depend on the variable of integration. For example, if you have $$\int_a^b f(x) \, dx,$$ the limits $a$ and $b$ are values of $x$. If you switch to integrating with respect to $y$, the limits must be values of $y$. 4. If you have a function defined as $x = g(y)$ and you want to integrate with respect to $y$ from $y=1$ to $y=5$, then the integral is $$\int_1^5 g(y) \, dy.$$ This is common in problems where you integrate along the $y$-axis. 5. To summarize: The integral limits correspond to the variable of integration. If integrating with respect to $y$, limits are values of $y$. If integrating with respect to $x$, limits are values of $x$. If you provide the exact integral or function, I can help you evaluate it step-by-step.