https://github.com/saadarazzaq/python-integrals

Definite and Indefinite Integrals with SciPy and SymPy
https://github.com/saadarazzaq/python-integrals

calculus colab definite-integral indefinite-integral numpy python scipy sympy

Last synced: 11 days ago
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Definite and Indefinite Integrals with SciPy and SymPy

• Host: GitHub
• URL: https://github.com/saadarazzaq/python-integrals
• Owner: SaadARazzaq
• Created: 2024-11-08T20:52:33.000Z (11 days ago)
• Default Branch: main
• Last Pushed: 2024-11-08T21:08:39.000Z (11 days ago)
• Last Synced: 2024-11-08T21:35:18.634Z (11 days ago)
• Topics: calculus, colab, definite-integral, indefinite-integral, numpy, python, scipy, sympy
• Language: Jupyter Notebook
• Homepage: https://www.freecodecamp.org/news/calculate-definite-indefinite-integrals-in-python/
• Size: 0 Bytes
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Python-Integrals

![image](https://github.com/user-attachments/assets/a75b06bd-9601-43f4-864b-f8aac1397ecc)

This repository includes a Colab notebook that demonstrates how to perform definite and indefinite integration using Python libraries such as SciPy and SymPy. The examples cover a range of integration techniques, from single-variable integrals to double and triple integrals, as well as indefinite integrals with symbolic math. (MERGED ALL INTO ONE PLACE FROM FREECODECAMP)

## Overview

The notebook is organized as follows:

1. **Single-variable Definite Integrals** - Using `scipy.integrate.quad`

2. **Double and Triple Integrals** - Using `scipy.integrate.dblquad` and `tplquad`

3. **Infinite Limits** - Example of an integral from 0 to infinity

4. **Indefinite Integrals** - Using SymPy for symbolic integration

### Key Examples

- **Single-variable integrals**:

  - Definite Integral

    - ∫x^2 dx from 0 to 1

    - ∫{x+1}/{x^2} dx from 1 to 2

    - ∫log(sin(x)) dx from 0 to 2

    - ∫e^{-x} dx from 0 to ∞

  - Indefinite Integral

    - ∫(x^2) dx = (x^3)/x + C

    - ∫sin(x) dx = -cos(x) + C

    

- **Double Integral**:

  - ∫∫ x * y^2 dxdy

    

- **Triple Integral**:

  - ∫∫∫ z * (x + y + z) dxdydz

## Usage

Open the notebook in Google Colab and run the cells sequentially to execute the integration examples.

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Feel free to clone this repository to modify or expand on these integration examples for other mathematical functions or intervals.