I told you that the boundaries don't matter. But I think I finally understand what you're asking me. The answer to your question is no, you don't need to state the equation in terms of y. You can integrate the entire thing from x = -4 to x = 4. If the boundaries had been on the y-axis from 0 to 3, I would say that you should rewrite the equation. But in this case, you don't have to.
I still don't see why you're integrating, but I guess if you really think there's a reason, there must be. I've never pretended to remember everything from my calculus classes.
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