Plotting area under an integral curve

In this recipe, we will learn how to plot a defined area under a curve and embed the equation as text on the plot.

Getting ready

Import the required libraries:

import numpy as np
import matplotlib.pyplot as plt
from matplotlib.patches import Polygon

How to do it...

The following code block plots a polynomial of the third y = x ** 3 order and plots the area under this curve between two points on the x axis, which is the integral of the function limited by the two points:

1. Define two points a and b that are the limits of integral being...