How to integrate a total derivative? – math.stackexchange.com

How to integrate a total derivative? – math.stackexchange.com

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Suppose $f(x,y)=x y$ Then, its total derivative is $$ \begin{align} \mathbb{d}f&=x \mathbb{d}y+y \mathbb{d}x \\ \int\mathbb{d}f&= \int x \mathbb{d}y+ \int y \mathbb{d}x \tag{Integration}\\ ...

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