This repository contains a simple Python class called Integrator that numerically integrates a given function f(x).

To use the Integrator class, follow these steps:

1. Clone the repository:

   git clone https://github.com/your-username/1D-Function-Integrator.git

2. Import the Integrator class into your Python script:

   from integrator import Integrator

3. Define your own function to integrate, similar to the f(x) function provided in the example:

   import numpy as np
   
   def f(x):
       return (x**2) * np.exp(-x) * np.sin(x)

4. Create an instance of the Integrator class, providing the function, minimum and maximum values for integration, and the number of intervals:

   examp = Integrator(f, 1, 3, 200000)

   • f: The function to integrate.
   • xMin: The minimum value for integration.
   • xMax: The maximum value for integration.
   • N: The number of intervals for integration.

5. Perform the integration by calling the integrate() method:

   examp.integrate()

6. Display the result by calling the show() method:

   examp.show()

   This will print the rounded result of the integration.

7. Run your Python script:

   python your_script.py

The provided example demonstrates how to use the Integrator class to integrate the function f(x) = x^2 * exp(-x) * sin(x):

import numpy as np
from integrator import Integrator

def f(x):
    return (x**2) * np.exp(-x) * np.sin(x)

def main():
    examp = Integrator(f, 1, 3, 200000)
    examp.integrate()
    examp.show()

if __name__ == "__main__":
    main()

The integration is performed over the interval [1, 3] using 200,000 intervals (N = 200000). The result is then displayed using the show() method.

Feel free to modify the function and integration parameters to suit your needs.

This project is based on an assignment of the Coursera course Simulation and modeling of natural processes (https://www.coursera.org/learn/modeling-simulation-natural-processes).