Arc Length Formula Explained: Calculus Integration Tutorial

Learn how to calculate the Arc Length of a curve using integration! 📐 In this beginner-friendly Calculus tutorial, we break down the formula L = ∫√(1 + [f'(x)]²)dx step-by-step.

We start with the intuition behind the distance formula and use limits to derive the integral. Then, we walk through a complete practice problem involving the function y = 2x^(3/2).

What you'll learn:
✅ The geometric intuition behind Arc Length
✅ How to derive the Arc Length Formula
✅ Step-by-step solved example
✅ Tips for solving these integrals

Perfect for Calculus 2 students or anyone reviewing integration applications!

#calculus #math #integration #education #stem #learning

Chapters:
00:00 - Introduction
00:17 - The Challenge
00:38 - The Strategy
00:57 - Approximation
01:13 - The Limit
01:32 - Deriving the Element
01:54 - The Formula
02:14 - Example Setup
02:30 - Step-by-Step Solution
02:50 - Integration
03:11 - Summary
03:28 - Outro

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