[tex]{\frac{∂(xy)}{∂x}=x}[/tex] Going backwards. If we took,(adsbygoogle = window.adsbygoogle || []).push({});

[tex]∫x dy[/tex] we get [tex]xy+f(x)[/tex]

Now, the only way that

[tex]∫x dy[/tex]

is a valid operation, is if we know that we came from a partial derivative. Why, when taking a partial integral, do we not denote like this:

[tex]∫x ∂y[/tex]

It seems like it would be less confusing.

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# Symbol for partial derivative not used for partial integrals?

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