English: Line-Integral. A line integral sums together elements along a curve. The trajectory of a particle along a curve inside a vector field. At the bottom are the vectors of the field seen by the particle as it travels along the curve. The sum of the dot products of these vectors with the tangent vector of the curve at each point of the trajectory results in the line integral.
This GIF image is an information graphic created by a computer program from data sets or formulas that have not been fully provided on this page. In order to allow other editors to improve or build such images, and to ensure compliance with free content licenses such as the GFDL, the following should be provided:
Software package(s) used
Data sets used (if any), including pre-processing instructions
Sequence of commands used to create the graphic
Short description of any post-processing stages
Once all the above are included in the image's description page(s), please remove this template.
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue
to share – to copy, distribute and transmit the work
to remix – to adapt the work
Under the following conditions:
attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue
Captions
Add a one-line explanation of what this file represents