Introduction to trigonometric substitution

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Introduction to trigonometric substitution
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OMG. I remember this from undergrad years ago. I’m glad this is in my rear view mirror. Good luck to anyone taking integral calc now! Don’t give up!

jasonjackson
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An entire lesson of calculus that went halfway over my half-asleep head, explained perfectly in under 9 minutes. Huzzah!

leopardduck
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This is the best explanation of trig substitution on youtube!

Yh-gucw
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You've saved my midterm. A true legend

danielkhromov
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I was really confused for a while cuz your '4' looked like a 'u' to

rdurian
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Prof. was explaining this for 70 min, and I did not understand anything. The 9 min video saved my life.

vladimirmiloserdov
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This is exactly what I was looking for. Thank you Sal!

lucasargandona
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i knew it had to do with the pythagorean theorom and trig and stuff, but people online just kept saying "ok so basically memorize this and ye when u see this do this, when you see this do this, and when you see this do this"

kooltyme
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Thank you now that I understand the patharoris triangle, I don't have to memorize anymore, I simply use your method from the beginning. This has made my day. Thank you will use this future..

theodoresweger
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Best professor I've ever had right here 💰💰

fiorellasalazar
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Wow..thanku soo much..this video helped me a lot ❤️🔥

SlaveofAllaah
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you can just do it by factorising 4 and substituing by ( x/2)

baddack
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For me doing trigo subsitution, I will think about how to get rid of the sqrt first just like 3:06 I straight away let x=2sinø then sqrt(4-x²)=2cosø

jieyuenlee
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i didn't it at the first time of seeing this but thank you for explaining

faithanneanano
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why does this only have 2000 views considering he has over 2.000.000 followers???

fifa
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Question for the first example could you not substitute x to be 2cos(theta) as well because 1-cos^2(theta) = sin^2(theta).


Then eventually your answer will result in terms of cosines???

MuksEmmaN
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I was expecting the stuff like "substitute x with tanθ" kinda questions when i searched this topic tbh—
I didn't knew these formulas had this kinda background 👀

If anyone knows bout what I'm rendering to, pls do name it so that i can search it up—
Atleast within a month of this coment getting pasted (I've exam) 👀

bubble_cookie
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This is shady, if you make the adjacent side be x you get some negative thingis, what is shady is that you did not explain why you made the other side be x

kwanelekhomo
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I got an A in differential calculus and an A in integral calculus. Have fun to everyone who is doing this topic. 🤣

Ember_Lumen
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can we solve the sinh(x) and the rest of the conditions and the inverse with the same rules? i mean is it ok or is it depletable and thanks

araragi