Jump to content

File:Improper integral.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia
    Original file (SVG file, nominally 420 × 420 pixels, file size: 6 KB)
    Render this image in .

    Summary

    Description Plot of 1/(sqrt(x)*(x+1)) from 0.093 to 3.0
    Date
    Source self-made using gnuplot with alterations to SVG (piecewise-Bézier replacement of function graph, area fill)
    Author KSmrq

    Comment

    Illustrate an improper Riemann integral,

    0dx(x+1)x=π.

    The domain goes to infinity, and at zero so does the range. Thus the integral is improper in both senses, but has a well-defined value using limits.

    Licensing

    I, KSmrq, the copyright holder of this work, hereby publishes it under the following licenses:
    GNU head 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.
    w:en:Creative Commons
    attribution share alike
    This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
    Attribution:
    You are free:
    • 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.
    w:en:Creative Commons
    attribution share alike
    This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic license.
    Attribution:
    You are free:
    • 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.
    You may select the license of your choice.

    Captions

    Add a one-line explanation of what this file represents

    Items portrayed in this file

    depicts

    26 June 2007

    5,233 byte

    image/svg+xml

    a47cc94af4f7fabaa06e9f0718347a987885eb9f

    File history

    Click on a date/time to view the file as it appeared at that time.

    Date/TimeThumbnailDimensionsUserComment
    current02:44, 5 April 2026Thumbnail for version as of 02:44, 5 April 2026420 × 420 (6 KB)Bjankuloski06File uploaded using svgtranslate tool (https://svgtranslate.toolforge.org/). Added translation for mk.
    21:36, 26 June 2007Thumbnail for version as of 21:36, 26 June 2007420 × 420 (5 KB)KSmrq~commonswiki{{Information |Description=Plot of 1/(sqrt(x)*(x+1)) from 0.093 to 3.0 |Source=self-made using gnuplot with alterations to SVG (piecewise-Bézier replacement of function graph, area fill) |Date=2007-06-26 |Author= KSmrq }} == Comment == Il

    Global file usage

    Metadata