File:1 over x integral.svg

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Original file ‎(SVG file, nominally 424 × 408 pixels, file size: 44 KB)

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Summary[edit]

Description
English: The plot of hyperbola xy=1 and the area under the curve (integral).
Date
Source Own work
Author Krishnavedala
Other versions 1 over x integral.png
SVG development
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This plot was created with Matplotlib.
Source code
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Python code

Source code 
from matplotlib.pyplot import *
from numpy import linspace, arange
from matplotlib.patches import Polygon

rcParams['font.size'] = 15
rcParams['text.usetex'] = True

x1 = linspace(0,9,100)
y1 = 1./x1
x2 = linspace(1,8,8)
y2 = 1./x2
x3 = arange(1,6,0.01)
y3 = 1./x3
verts = [(1.,0)] + [*zip(x3,y3)] + [(6,0)]
poly = Polygon(verts, facecolor='orange',edgecolor='k')

fig = figure(figsize=(5,5))
ax = fig.add_subplot(111)
ax.grid(True)
ax.plot(x1,y1)
ax.plot(x2,y2,'ro')
ax.add_patch(poly)
ax.text(1,1,r"$\displaystyle f(x)=\frac{1}{x}$", fontdict={'size':20})
ax.text(1.5,.05,r"$\displaystyle\int_1^6f(x)\mathrm{d}x$", fontdict={'size':20})

ax.set_ylim(0,1.2)
ax.set_yticks(linspace(0,1,6))
ax.minorticks_on()
ax.set_xlabel("x", fontsize=18)
ax.set_ylabel("y", fontsize=18)

fig.savefig("1_over_x_integral.svg",bbox_inches="tight",\
	pad_inches=.15)

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  • 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.
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.
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Date/TimeThumbnailDimensionsUserComment
current13:23, 16 May 2020Thumbnail for version as of 13:23, 16 May 2020424 × 408 (44 KB)Krishnavedala (talk | contribs)recreated using matplotlib with increased font sizes
15:18, 5 June 2011Thumbnail for version as of 15:18, 5 June 2011424 × 418 (107 KB)JohnBlackburne (talk | contribs)Make text bigger so clearer in thumbnail
10:27, 5 June 2011Thumbnail for version as of 10:27, 5 June 2011424 × 418 (80 KB)Krishnavedala (talk | contribs){{Information |Description ={{en|1=The plot of hyperbola xy=1 and the area under the curve (integral). Created using python. <source lang="python"> from matplotlib.pyplot import * from numpy import linspace, arange from matplotlib.patches import Polyg

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