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I am having trouble following the derivation from Euler's Equation to Bernoulli's Equation. The trouble lies in the math, not the physics part. Especially the step when partial derivatives are being integrated.

I have attached the relevant part as a screenshot.

How does the partial dp/dx change into dp? And where does gH come from?

Any help will be much appreciated!

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# Integration of partials, specifically Euler to Bernoulli Equation

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