Checked content

File:1 over x integral.svg

Summary

Description
English: The plot of hyperbola xy=1 and the area under the curve (integral).

Created using python.

from matplotlib.pyplot import *
from numpy import linspace, arange
from matplotlib.patches import Polygon
 
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"$f(x)=\frac{1}{x}$")
ax.text(2,.15,r"$\int_1^6f(x)\mathrm{d}x$")
 
ax.set_ylim(0,1.2)
ax.set_yticks(linspace(0,1,6))
ax.minorticks_on()
ax.set_xlabel("x")
ax.set_ylabel("y")
 
fig.savefig("1_over_x_integral.svg",bbox_inches="tight",\
        pad_inches=.15)
Date 5 June 2011
Source Own work
Author Krishnavedala

W3C✓ The source code of this SVG is valid.

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