1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
|
"""
==================================
Integral as the area under a curve
==================================
Although this is a simple example, it demonstrates some important tweaks:
* A simple line plot with custom color and line width.
* A shaded region created using a Polygon patch.
* A text label with mathtext rendering.
* figtext calls to label the x- and y-axes.
* Use of axis spines to hide the top and right spines.
* Custom tick placement and labels.
"""
import matplotlib.pyplot as plt
import numpy as np
from matplotlib.patches import Polygon
def func(x):
return (x - 3) * (x - 5) * (x - 7) + 85
a, b = 2, 9 # integral limits
x = np.linspace(0, 10)
y = func(x)
fig, ax = plt.subplots()
ax.plot(x, y, 'r', linewidth=2)
ax.set_ylim(bottom=0)
# Make the shaded region
ix = np.linspace(a, b)
iy = func(ix)
verts = [(a, 0), *zip(ix, iy), (b, 0)]
poly = Polygon(verts, facecolor='0.9', edgecolor='0.5')
ax.add_patch(poly)
ax.text(0.5 * (a + b), 30, r"$\int_a^b f(x)\mathrm{d}x$",
horizontalalignment='center', fontsize=20)
fig.text(0.9, 0.05, '$x$')
fig.text(0.1, 0.9, '$y$')
ax.spines[['top', 'right']].set_visible(False)
ax.set_xticks([a, b], labels=['$a$', '$b$'])
ax.set_yticks([])
plt.show()
|
