❖ Trigonometric Substitution ❖

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Trigonometric Substitution in Calculus: A Step-by-Step Example

In this video, I explore a basic example of trigonometric substitution in calculus. Trigonometric substitution is a powerful technique used to simplify integrals, but it requires different substitutions based on the expression involved.

🔍 What You’ll Learn:

The concept of trigonometric substitution and when to use it.

Different types of substitutions for various expressions.

How to label the right triangle from our initial substitution and its importance.

A complete example demonstrating the substitution process and integration.

Tips for handling tricky integrals that may require additional techniques after substitution.

This tutorial is perfect for students looking to deepen their understanding of integration techniques in calculus. By the end of this video, you'll be equipped to tackle trigonometric substitution problems with confidence.

Don’t forget to like, subscribe, and hit the notification bell for more math tutorials and calculus strategies!

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I just love how the majority of the examples you do, you do them in permanent mistakes, such a beast.

misterkmo
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I cannot express in words how much I love you for this right now.

RedRogue
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Pat I would venture to say that you have single-handedly affected more future scientists and engineers than any other man in the world with these videos. thanx

davidontiveroz
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I have learned more about integration from patrickJMT than from my math book, seriously.

Peter_
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I realize you may not see this comment since the video is so old, but during the summer I took Calculus 1 online and didn't buy the book, because I knew I'd have your videos. This content should not be free and yet it is. It helped me get an A in Calculus 1 and now this semester I am in Calculus 2, I yet again didn't buy the book and am relying on your insightful videos. You help immensely and are the secret to my math success in college. Thank you Patrick.

ryanhessong
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EmoKratiko
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valcon
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patrickjmt
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Tfelde
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robmiles
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Once again you've explained something clearly in 14 minutes that a professor couldn't explain in an hour and half of lectures. Not only do you do it in a way that's understandable, you show WHY I'm doing this, my book and professor just assumed I knew that I was factoring the 'a' out. My book doesn't even have the triangle trick. YOU ARE GOD!

wootenwannabe
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Mrthatguyyouknowable
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killermiller
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errnita
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psford
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GloryRainTV
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