TRIPLE INTEGRAL of DIVERGENCE Over a Microscopic Volume? Here's the Trick...
In vector calculus, evaluating a triple integral of divergence over a very small (even microscopic) solid region lets you approximate the result in a surprisingly simple way: just compute a product! This Short breaks down how the divergence of a vector field over a tiny domain D can be approximated as div(F)(P)*vol(D), where P is a point inside D.
🧠 Great for students in multivariable calculus, physics, and engineering!
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📖 Visual Complex Analysis, by Tristan Needham: https://amzn.to/4d18FMP.
#VectorCalculus #DivergenceTheorem #TripleIntegral #MultivariableCalculus #MicroscopicMath #MathShorts #CalculusHack #Mathematics #stem
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Видео TRIPLE INTEGRAL of DIVERGENCE Over a Microscopic Volume? Here's the Trick... канала Bill Kinney
🧠 Great for students in multivariable calculus, physics, and engineering!
🔔 Subscribe for deep visual math and intuitive explanations.
📖 Visual Complex Analysis, by Tristan Needham: https://amzn.to/4d18FMP.
#VectorCalculus #DivergenceTheorem #TripleIntegral #MultivariableCalculus #MicroscopicMath #MathShorts #CalculusHack #Mathematics #stem
#StrengthAndHonor 💪
Links and resources
===============================
🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinneymath?sub_confirmation=1
🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/
🔴 Follow me on Twitter: https://twitter.com/billkinneymath
🔴 Follow me on Instagram: https://www.instagram.com/billkinneymath/
🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA.
🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/
🔴 Desiring God website: https://www.desiringgod.org/
AMAZON ASSOCIATE
As an Amazon Associate I earn from qualifying purchases.
Видео TRIPLE INTEGRAL of DIVERGENCE Over a Microscopic Volume? Here's the Trick... канала Bill Kinney
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24 июня 2025 г. 18:09:36
00:01:01
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