Arc Length Formula Derivation: Using Pythagorean Theorem

Описание: Learn how to derive the Arc Length formula using simple geometry! 📐 In this video, we break down the complex calculus formula using the Pythagorean Theorem.

We start by zooming in on a curve to see the relationship between dx, dy, and ds. Then, we use simple algebra to transform the Pythagorean equation into the famous integral formula.

Perfect for Calculus 2 students or anyone who wants to understand the 'why' behind the math. 🧠

Topics covered:
Approximating curves with lines
The differential triangle (dx, dy, ds)
Algebraic derivation
The final integration formula

#calculus #math #education #arclength #pythagoreantheorem #derivative #integral #learnmath

Chapters:
00:00 - Slide 1 Title
00:17 - Slide 2 Title
00:35 - Slide 3 Title
00:53 - Slide 4 Title
01:09 - Slide 5 Title
01:23 - Slide 6 Title
01:40 - Slide 7 Title
01:59 - Slide 8 Title
02:15 - Slide 9 Title
02:28 - Slide 10 Title
02:43 - Slide 11 Title
02:57 - Slide 12 Title
03:14 - Outro

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