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- Line_integral abstract "In mathematics, a line integral (sometimes called a path integral, contour integral, curve integral, or curvilinear integral; not to be confused with calculating arc length using integration) is an integral where the function to be integrated is evaluated along a curve.The function to be integrated may be a scalar field or a vector field. The value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar function on the curve (commonly arc length or, for a vector field, the scalar product of the vector field with a differential vector in the curve). This weighting distinguishes the line integral from simpler integrals defined on intervals. Many simple formulae in physics (for example, W=F·s) have natural continuous analogs in terms of line integrals (W=∫C F· ds). The line integral finds the work done on an object moving through an electric or gravitational field, for example.".
- Line_integral thumbnail Line_integral_of_scalar_field.gif?width=300.
- Line_integral wikiPageExternalLink ContourIntegralMod.html.
- Line_integral wikiPageExternalLink line_integral_vector_field_introduction.
- Line_integral wikiPageExternalLink introduction-to-the-line-integral?playlist=Calculus.
- Line_integral wikiPageExternalLink line-integral-example-1?playlist=Calculus.
- Line_integral wikiPageExternalLink line-integral-example-2--part-1?playlist=Calculus.
- Line_integral wikiPageExternalLink line-integral-example-2--part-2?playlist=Calculus.
- Line_integral wikiPageExternalLink body.htm.
- Line_integral wikiPageID "21245414".
- Line_integral wikiPageRevisionID "597743644".
- Line_integral hasPhotoCollection Line_integral.
- Line_integral id "p/i051570".
- Line_integral title "Integral over trajectories".
- Line_integral title "Path integral".
- Line_integral urlname "LineIntegral".
- Line_integral subject Category:Complex_analysis.
- Line_integral subject Category:Vector_calculus.
- Line_integral comment "In mathematics, a line integral (sometimes called a path integral, contour integral, curve integral, or curvilinear integral; not to be confused with calculating arc length using integration) is an integral where the function to be integrated is evaluated along a curve.The function to be integrated may be a scalar field or a vector field.".
- Line_integral label "Całka krzywoliniowa".
- Line_integral label "Integral de linha".
- Line_integral label "Integral de línea".
- Line_integral label "Integrale di linea".
- Line_integral label "Intégrale curviligne".
- Line_integral label "Kurvenintegral".
- Line_integral label "Lijnintegraal".
- Line_integral label "Line integral".
- Line_integral label "Криволинейный интеграл".
- Line_integral label "تكامل خطي".
- Line_integral label "曲线积分".
- Line_integral label "線積分".
- Line_integral sameAs Křivkový_integrál.
- Line_integral sameAs Kurvenintegral.
- Line_integral sameAs Integral_de_línea.
- Line_integral sameAs Intégrale_curviligne.
- Line_integral sameAs Integral_garis.
- Line_integral sameAs Integrale_di_linea.
- Line_integral sameAs 線積分.
- Line_integral sameAs 선적분.
- Line_integral sameAs Lijnintegraal.
- Line_integral sameAs Całka_krzywoliniowa.
- Line_integral sameAs Integral_de_linha.
- Line_integral sameAs m.010wg2.
- Line_integral sameAs Q467699.
- Line_integral sameAs Q467699.
- Line_integral wasDerivedFrom Line_integral?oldid=597743644.
- Line_integral depiction Line_integral_of_scalar_field.gif.
- Line_integral isPrimaryTopicOf Line_integral.
