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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''' 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.
The common notation for a line integral, taken along a line expressed as "contour C," of a vector function ''f'' is:
:<math>\int_\mathbf{C} \langle \vec{f}(\vec{s}), d\vec{s} \rangle</math>
[[Category:calculus]]
[[Category:calculus]]
[[Category:mathematics]]
[[Category:mathematics]]