https://github.com/chicolucio/integrals

Computing integrals
https://github.com/chicolucio/integrals

animation integral integration math matplotlib matplotlib-animation python riemann riemann-sum

Last synced: 4 days ago
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Computing integrals

• Host: GitHub
• URL: https://github.com/chicolucio/integrals
• Owner: chicolucio
• License: mit
• Created: 2022-04-28T00:01:00.000Z (over 3 years ago)
• Default Branch: master
• Last Pushed: 2022-04-28T17:43:10.000Z (over 3 years ago)
• Last Synced: 2025-10-06T01:37:19.293Z (4 days ago)
• Topics: animation, integral, integration, math, matplotlib, matplotlib-animation, python, riemann, riemann-sum
• Language: Python
• Homepage:
• Size: 1.13 MB
• Stars: 5
• Watchers: 1
• Forks: 0
• Open Issues: 3
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# Integrals

[![author](https://img.shields.io/badge/author-Francisco Bustamante-red.svg)](https://www.linkedin.com/in/flsbustamante/) 

[![](https://img.shields.io/badge/python-3.8+-blue.svg)](https://www.python.org/) 

[![contributions welcome](https://img.shields.io/badge/contributions-welcome-brightgreen.svg?style=flat)](https://github.com/chicolucio/integrals/issues)

![header image](images/animation.gif)

A Python project to compute integrals:

- symbolically with SymPy

- numerically through Riemann sums

The project aims to be educational, showing how numerical integration works

through animations like the one at the beginning. There are more animations in

the [images folder](images/). Yes, you can do such calculations with SciPy

but without the nice animations :-)

## Usage

1. clone the repo, not a package yet :-(

2. create a virtual environment with Python 3.8+

3. activate the virtual environment

4. install dependencies

5. run the scripts

```bash

git clone https://github.com/chicolucio/integrals

cd integrals

python -m venv .venv

source .venv/bin/activate

pip install -r requirements.txt

python animation.py

python integral.py

python antiderivatives.py

```

`animation.py` shows how more Riemann rectangles make the approximation better.

`integral.py` has examples of how to use the other methods. Both files have

more examples that can be uncommented in the code as instructed in them.

`antiderivatives.py` just plots a family of functions that are antiderivatives

of *2x*.

## Testing

Tests can be run in the top-level directory with the command `pytest -v tests/`.

## Contributing

All contributions are welcome.

**Issues**

Feel free to submit issues regarding:

- recommendations

- more animations or examples

- enhancement requests and new useful features

- code bugs

There are some open issues waiting for your help, see

[here](https://github.com/chicolucio/integrals/issues).

**Pull requests**

- before starting to work on your pull request, please submit an issue first

- fork the repo

- clone the project to your own machine

- commit changes to your own branch

- push your work back up to your fork

- submit a pull request so that your changes can be reviewed

## License

MIT, see [LICENSE](LICENSE)

## Citing

If you use this project in a scientific publication or in classes, please consider citing as

F. L. S. Bustamante, Integrals, 2022 - Available at: https://github.com/chicolucio/integrals

## More

- [LinkedIn](https://www.linkedin.com/in/flsbustamante/)

- [Portfolio](https://franciscobustamante.com.br/portfolio)

- [Curriculum Vitae](https://franciscobustamante.com.br/about/)