File:Improper integral unbounded internally.svg
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Summary
[edit]DescriptionImproper integral unbounded internally.svg | Plot of 1/((x*x)**(1/3)) from -1.5 to 1.5, area from -1 to 1 |
Date | |
Source | self-made using gnuplot with alterations to SVG (piecewise-Bézier replacement of function graph, area fill) |
Author | KSmrq |
Comment
[edit]Illustrate an improper Riemann integral unbounded internally,
The range goes to infinity at zero. Thus the integral is improper internally, but has a well-defined value using separate limits from the left and right, both of which converge.
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[edit]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 |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | ||
Attribution: I, KSmrq | ||
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 20:01, 5 August 2007 | 420 × 420 (5 KB) | KSmrq~commonswiki (talk | contribs) | {{Information |Description=Plot of 1/((x*x)**(1/3)) from -1.5 to 1.5, area from -1 to 1 |Source=self-made using gnuplot with alterations to SVG (piecewise-Bézier replacement of function graph, area fill) |Date=2007-08-05 |Author= KSmrq }} |
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Short title | Improper integral (symmetric) |
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Image title | Plot of 1/((x*x)**(0.333)) from -1.5 to 1.5 |