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## Main Question or Discussion Point

Well i know that the line integral is
given a scalar function f. equation1

But the line integral is also
given a vector field F. equation2

So, given scalar function f and taking the gradient vector of it in order to turn it into a vector field F. Why is equation1 not equal to equation2?

But the line integral is also

So, given scalar function f and taking the gradient vector of it in order to turn it into a vector field F. Why is equation1 not equal to equation2?