In mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. Line integral of a scalar field · Complex line integral

If the curve C is a closed curve, then the line integral indicates how much the vector field tends to circulate around the curve C.

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16 янв. 2023 г. · The value of a line integral of a vector field is unchanged as long as the direction of the curve C is preserved by whatever parametrization is chosen.

If C is a closed path, we can integrate around it starting at any point a; since the starting and ending points are the same, ∫C∇f⋅dr=f(a)−f(a)=0.

16 нояб. 2022 г. · A path C C is called closed if its initial and final points are the same point. For example, a circle is a closed path. A path C C is simple ...

7 мая 2021 г. · The line integral of F measures how much F goes along with the direction of the curve C, that's a good explanation of what the line integral is. (Closed) Line integral of Conservative Field. Does fundamental theorem of calculus apply to closed curves ... Do line integrals of closed curves depend on the orientation of ... Другие результаты с сайта math.stackexchange.com

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