🎬 Calculus Project

✨ Project Overview

This project is a final assignment for a Calculus course. It utilizes the Manim (Python) library to generate a high-quality animated video that visually explains the geometric definition of the Definite Integral.

The animation focuses on illustrating the following core concepts:

1. The concept of Riemann Sums and how rectangles approximate the area under the curve.
2. Definition of difinite and indifinite integral
3. Applications in real-life

🚀 Getting Started

⚙️ Prerequisites

To run or modify the Manim code, you need the following installed:

• Python: Version 3.8 or higher.
• Manim: The Manim Community Edition library.
• FFmpeg: For rendering the video output. (optional)

💻 Installation

1. Clone the Repository:

   git clone <YOUR_GITHUB_URL>
   cd <your_repo_name>

2. Install Manim: It is recommended to use a virtual environment (venv or conda).

   pip install manim

▶️ Running the Animation

Use the manim command line tool to render the video.

1. Navigate to the project root directory in your terminal.
2. Run the Python file containing the integral scene definition:

   # Replace <your_file_name.py> with the actual file name (e.g., integral_definition.py)
   # Use -ql (low quality) for fast rendering, or -qh (high quality) for final output
   manim -pql <your_file_name.py> IntegralScene