Why are they integrating from 1 to x?

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so I have a Bernoulli equation here, and I'm not sure why they are integrating from 1 to x. I understand that the initial condition is when x = 1, y = 1, but why are they integrating from 1 to x? They don't make a clear explanation, and I don't even know what to do with the initial condition at this point.

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