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Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

00:33

Dungarsinh Puthvisinh

If $f(x)=x+\sqrt{2-x}$ and $g(u)=u+\sqrt{2-u},$ is it true that $f=g ?$

01:38

Felicia Sanders

0:00

00:56

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um So the next topic that we're gonna talk about is some integration technique. So we're going to start with just some basic techniques. I'm going to do a quick video on just some not necessarily formulas, but some basic. Yeah, I guess they are forming a so formulas that are just good to know, to keep in your mind as we continue getting into some more complicated. They're girls. It's just forms of Vina girls that you're going to see often. So we're going to go over some basic techniques. Most of them will have some trig in them. Ah, couple will just be some that will make it easy to recognize when certain situations air happening. So that will be a really good video to check out. And then we're also going to talk about in this segment integration by parts and integration by parts. It's something that's gonna come up a lot, and it's going to be something that you're gonna have to get used to recognizing when it needs to be used. It is usually used when you need to simplify integral that air in the form of ffx times g avec. So when you have two functions being multiplied by each other. And we'll go over this a lot more in detail when we get into the lectured, lectured video of integration by parts. But when we have two functions, um, that are being multiplied and the other thing we're gonna want to check for Is that what they can either be integrated or derive take the derivative of on their own easily. So when we do integration by parts we're looking at, how easily ffx by itself can either be integrated or we could take the derivative of it and how easy G of X is to either integrate or take the derivative of eso. That's where we're going to go ahead and start getting into now.

Trig Integrals

Trig Substitution

Integrating Rational Functions

Improper Integrals

Sequences

27:53

21:44