Difference between revisions of "Line integral"
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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. | ||
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| + | The common notation for a line integral, taken along a line expressed as "contour C," of a vector function ''f'' is: | ||
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| + | :<math>\int_\mathbf{C} \langle \vec{f}(\vec{s}), d\vec{s} \rangle</math> | ||
[[Category:calculus]] | [[Category:calculus]] | ||
[[Category:mathematics]] | [[Category:mathematics]] | ||
Revision as of 14:38, December 26, 2009
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>