Python-Integrals

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.