Integral and Derivative Calculator

Overview

This web-based calculator allows users to compute definite integrals and derivatives of mathematical functions. The calculator uses Pyodide, a Python distribution for the browser, to run Python code for symbolic computation.

Features

• Definite Integral Calculation: Computes the definite integral of a user-defined function over a specified interval using both symbolic integration and Monte Carlo approximation.
• Derivative Calculation: Computes the derivative of a user-defined function.
• Interactive Interface: Users can select between integration and derivation, input functions, and specify integration bounds interactively.

Requirements

• A modern web browser with JavaScript enabled.

Usage

1. Open the Application: Visit the GitHub Pages URL where the application is hosted.
2. Select Calculation Type: Choose between "Integration" and "Derivation" using the radio buttons.
3. Input Function:
   • For integration, enter the function, lower bound, and upper bound.
   • For derivation, enter the function to differentiate.
4. Preview: The entered function and integral bounds will be previewed in LaTeX format.
5. Calculate: Click the "Calculate" button to perform the computation. The results will be displayed, showing both the regular integral and Monte Carlo approximation for integration or the derivative for derivation.

Technical Details

• Pyodide: Loads and runs Python code directly in the browser.
• SymPy: Performs symbolic mathematics.
• NumPy: Handles numerical operations, especially for the Monte Carlo approximation.
• MathJax: Renders mathematical notation in LaTeX format.