The Substitution Rule for Integrals
In this video I go over the substitution rule for integrals and show why it is necessary for solving integrals such as integral of 2x·sqrt(1+x2). I also go over the proof for the substitution rule in which I show that it involves permissible substitute variables and differentials directly into an integral.
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Indefinite Integrals - Introduction: http://youtu.be/_jl9Zy2sBwk
Fundamental Theorem of Calculus - Recap and Summary: http://youtu.be/CD7-PFg7omc
Antiderivatives - A brief Introduction: http://youtu.be/zDzUHqAUSEw
Antiderivatives - Examples, Part 1: http://youtu.be/Ug9QJT8Z6Bs
Antiderivatives - Examples, Part 2: http://youtu.be/mV1RyLjUOns
Antiderivatives - Examples, Part 3 - Graphing and Directional Fields: http://youtu.be/Y0Zw4INaoxU
Antiderivatives - Examples, Part 4 - Position, Velocity, Acceleration Functions: http://youtu.be/PDhLLURJSPs .
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I don't always solve integrals but when I do I usually use the Substitution Rule to change the variable x to u ;)
View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/the-substitution-rule-for-integrals