6 дек. 2013 г. · 1 Answer. Direction does not matter for the line integral of a function, but here you are dealing with a work integral (i.e. the integral of a ... Line integral, not depend on orientation? - Math Stack Exchange A misunderstanding on the independence of orientation of line ... (Edited) Confusing on proving reverse direction of Line Integral Другие результаты с сайта math.stackexchange.com

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

12 дек. 2021 г. · With scalar line integrals, neither the orientation nor the parameterization of the curve matters. As long as the curve is traversed exactly ... Example 15.2.5: Evaluating a... · Example 15.2.8: Using...

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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.

16 нояб. 2022 г. · So, for a line integral with respect to arc length we can change the direction of the curve and not change the value of the integral. This is a ...

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.

6 дек. 2013 г. · No, the orientation of a line integral only matters for certain types of integrals, such as path integrals or line integrals along closed curves ... Line Integral of circle in counterclockwise direction Greens theorem direction of line integral - Physics Forums Curve for a line integral - direction confusion - Physics Forums Другие результаты с сайта www.physicsforums.com

Orientation of the curve. Math 114 – Rimmer. 17.2 Line Integrals. Line Integral ... along the piecewise smooth curve consisting of line segments from 2,2 to 0,0 ...

We define unoriented line integrals of functions along parametric curves. As a particular case, we study how to calculate the arc length of a parametric curve.