State the Fundamental Theorem:(adsbygoogle = window.adsbygoogle || []).push({});

Let F be a vector field.

If there exists a function f such that F = grad f, then

[itex]\int_{C} F \cdot dr = f(Q) - f(P)[/itex]

where P and Q are endpoints of curve C.

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I didn't receive any credit for this answer. Admittedly, it's not very good. I failed to mention that C is a continuous, oriented curve among other things.

But when I asked my professor about why I received no credit, she opened the textbook and said "THAT is the theorem." She wanted it word for word, claiming that was the difference between asking for the Theorem and definition.

So, my question is, what is the actual guideline for writing a theorem? Obviously, she wanted it word for word, but as far as I know my textbook doesn't give it work for word what some other textbook would.

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# How bad is this statement regarding the Fundamental Theorem for Line Integrals?

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