❖ Trigonometric Substitution - Example 2 ❖

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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[scottydscottd]

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[arielesilvatroche]

Dude you explain 1million times better than my professor 

[hassonal-mu]

as I always say Patrick you are the best person in the whole world 

[holmes]

Patrick you're freaking awesome. Missed my math class last week sleeping in and I don't even have to look at my professor's notes online cause you already covered this topic. I feel like I won't ever have to show up in class, I'll just have to look up the topic in your channel and take notes watching your videos. thank you.

[MustangSpeed]

Not a topic goes by in math that I don't understand, no matter how tough thanks to you! I am and aengineering major and currently taking calc 2 and linear algebra; we just finished this in calc 2 and are started parametric equations. You are more helpfulrthan any professor I have ever had. Thank you for helping me to understand this difficult material!

[justinschuster]

You sum up in 10 minute videos what my college professors fail to teach in weekly sessions... freaking awesome, thank you.

[LeadIntoZer]

I have a quiz on this in about an hour! I was out on a date last night, so I didn't study and now here I am getting a crash course on this lol. I've been recommending PatrickJMT and Khanacademy in every math class I've been in, since I discovered you guys.

[darrianellison]

Wow. You are really helping me understand Cal 2 WAY more in under 10 minutes than I do in 2 hours of my professor's class. I now feel more confident in college calculus thanks to you. If I pass this class this semester, it'll be because of you. Thank you so much!!!

[theGameQueen]

I spent almost an hour trying to do these problems on my own, I looked at your first video on the subject and I got the problem in this one right after. Thanks so much!

[tenken]

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[jemelmonger]

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[patrickjmt]

@brawl313 i would make sure you remember the basics: how to do a variety of limits, derivatives, basic trig stuff (identities and values and such), and make sure your algebra is ok (basic graphs, solving equations, etc). if you feel up to speed on all of that, you can always read ahead and get exposed to it before next semester; at that point, you will be brushing up to some extent, instead of seeing it for the first time.

[conman]

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[patrickjmt]

@Wilson1989SWE nope, i did not even graduate high school. mainly, i just make this stuff up as i go along, but i say it in a convincing tone

[YawningBoy]

thank you so much for doing these videos I have a quiz tommorow and I was scared I didn't know how to do trigonometric substitutions really well and you cleared that up for me. Also you explain really well. I guess professors can't explain well because there's a time limit on what they can teach so I'm glad you're doing these videos.

[MoreKevinLiang]

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And I haven't even LEARNED Trig substitutions yet! Yet I still understand you perfectly! I go to your videos to get ahead.
Superb job!

[silentcodr]

Thanks Patrick. This is helping me greatly to catch up in Calc 2. By far the most complex math course I've taken yet. Up there with Discrete Math.

[patrickjmt]

this coming from someone named 'halo prodigy' - i bet you get all the babes