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Line 1: − + − − A '''line integral''' is typically evaluated for the values taken by a three-dimensional vector field along a line or curve segment ''C''. In this common use the line integral of a vector function ''f'' along ''C'' is the following (all three formulations are equivalent);
stick with vector definition per talk page
A '''line integral''' is the area under a function along a specified curve. An ordinary or Riemann [[integral]] is a line integral using the x-axis as the line and bound by a given interval on the x-axis.
A '''line integral''' of a vector function ''f'' along a line or curve segment ''C'' is the following (all three formulations are equivalent);
:<math>\int_\mathbf{C} \vec{f}(\vec{s}) \cdot d\vec{s}</math>
:<math>\int_\mathbf{C} \vec{f}(\vec{s}) \cdot d\vec{s}</math>