Tags:Exponential Function Definite Integral Left Endpoints Riemann Sum Python

Approximating Definite Integrals with Riemann Sums in Python

Author: David Manuel

In this video, it is demonstrated how to use Python to approximate a definite integral using a left endpoint Reimann sum. The presenter shows how to create a list of the left endpoint values, substitute the list of into the function, and then sum the list of the y values times the width of the rectangles.

Transcript 20

Exercises

Python Code: 

from sympy import *
import numpy as np

x=symbols('x')
f=exp(-x**2)
a=0
b=2
n=50
dx=(b-a)/n
xi=np.arange(a,b,dx)
yi=[f.subs(x,i) for i in xi]
Approx=np.sum(yi)*dx
print('The area is approximately', Approx)

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