Mathematics

This is an antiderivative problem: you're given the rate of change and an initial condition, and need to find the function's value at a new point. The key insight is that integrating $\frac{dy}{dx}$ gives you the general form of $y$, then the initial condition $y(1)=4$ pins down the specific constant. Once you have the complete function, evaluating it at $x=3$ is straightforward.

This is an antiderivative problem: you're given the rate of change and an initial condition, and need to find the function's value at a new point. The key insight is that integrating $\frac{dy}{dx}$ gives you the general form of $y$, then the initial condition $y(1)=4$ pins down the specific constant. Once you have the complete function, evaluating it at $x=3$ is straightforward.