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Doing u-substitution twice (second time with w) 

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Example where we do substitution twice to get the integral into a reasonable form
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16 сен 2024

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Комментарии : 43   
@wingedtoast7495
@wingedtoast7495 10 лет назад
I've never heard such a smooth phrase, than 'I hope you dont't hear that crow outside, he's getting quite obnoxious.'
@iSolarSunrise
@iSolarSunrise 11 лет назад
There was no need to take double substitution, but I think he did it in the case of more complicated problems. Thank you Sal!
@yash1152
@yash1152 4 года назад
6:26
@thefisherman9553
@thefisherman9553 7 лет назад
That crow is taking Calc as well bruh
@Leuel48Fan
@Leuel48Fan 8 лет назад
Guess you can call it Double-U substitution, ayyyyeeee
@dappermink
@dappermink 7 лет назад
LOL
@That_One_Guy...
@That_One_Guy... 4 года назад
*Double Lu, as some indian pronounce it (LOL)
@deezhao3959
@deezhao3959 7 лет назад
This helped me so much! I just transferred from a community college into a four year school, and I'm currently taking cal 2 at my new school. However, I did not learn anything from my cal 1 class, so been suffering in my cal 2 class. I watched 4 of your videos now, and they are great. I will keep use your videos to study, and thank you for your videos.
@yash1152
@yash1152 4 года назад
6:26 “... really hold yourself, feel too bad if you didn't see that insight ...” 😂😂😂 on point Sal. You r really a nice human being over all i think.
@ThuhOthers
@ThuhOthers 10 лет назад
mojiganga2, the indefinite integral of -1/5 * e^u is -1/5 * e^(u) + c. I understand your logic and it would be true if "e" was a variable like "y" instead, but "e" is a constant rather than a variable. Think of it like the derivative of e^x is e^x as well as its integral is e^x. Hope this helps!
@The_Black_Vegeta
@The_Black_Vegeta 10 лет назад
So, Arthur the aardvark's sister is equal to -du?
@tastesawesome
@tastesawesome 11 лет назад
Your videos are very helpful when I forget how to do things like this!
@sqlerror
@sqlerror 7 лет назад
really good crow commentary on this one
@TDASS281
@TDASS281 11 лет назад
no homo, i really do love this guy lol im one of his biggest fans and admire everything he does
@SAchaz90
@SAchaz90 9 лет назад
wen hes doing the simpler method he says the du/dx of -sin(5x) = -5 cos(5x), correct me if im wrong but isnt the d/dx sin(5x)= -5 cos(5x). wouldnt the - infront of the sin affect the - in the -5cos5x ? lol sorry if this doesnt make sense
@sagelawrence2491
@sagelawrence2491 8 лет назад
This is from months ago, but the derivative of sinx is cosx, not -cosx. He is correct.
@SAchaz90
@SAchaz90 8 лет назад
Thanx
@69bitboy
@69bitboy 8 лет назад
dang crow
@jasonzacharias2150
@jasonzacharias2150 Год назад
That's one u sub two many.. Quoth the raven... Sol means solution to us bird brains.... Thanks again for helping, God bless 🙏
@calebsedberry6579
@calebsedberry6579 5 лет назад
Couldn't you just do power rule of e^-u after the first integral to get the e^u * u' which would result in your -e^u? (Times the 1/5 in front of course)
@y88tony63
@y88tony63 2 года назад
Omg it took me like 3 hours to solve a problem like this thank you
@Nikifuj908
@Nikifuj908 11 лет назад
Even though it's not mine, I would like to dedicate this video to Leonhard Euler. The disease in his eye did not prevent him from seeing in mathematics what those before him had missed. Thank you, Khan, and thank you, Euler.
@Lukeriddoch
@Lukeriddoch 11 лет назад
holy shit tried that question before playing the video and got it right woo :D:D
@angry_moose94
@angry_moose94 6 лет назад
who thought of hey arthur when he said D-W hahaha
@aleksandercacic4653
@aleksandercacic4653 8 лет назад
but how do the limits change if you do 2 substitutions??
@yash1152
@yash1152 4 года назад
nice question.
@NewWesternFront
@NewWesternFront Год назад
just change them twice, first to U bounds then again to W bounds and evaluate
@NewWesternFront
@NewWesternFront Год назад
just change them twice, first to U bounds then again to W bounds and evaluate
@blackezi3
@blackezi3 4 года назад
Edgar Allen Poe is a Math teacher. Amazing
@async7616
@async7616 7 лет назад
what if i simply just sub u=sin(5x)
@mojiganga2
@mojiganga2 11 лет назад
7:37 I think you forgot to take the integral. I think the answer would be (-1/5) (e^u+1/u+1)+c .... Please correct me if I am wrong
@yash1152
@yash1152 4 года назад
7:37 well, no... can u please recheck :) Have a nice day
@oldslatzy
@oldslatzy 9 лет назад
Dang Crow haha
@ahsansiraj3862
@ahsansiraj3862 4 года назад
Nice but it could be easier if just take it as exp(-u)= exp(-1.u)=exp(a.u) Where a=-1
@iamstickfigure
@iamstickfigure 11 лет назад
I know you've been very busy today, but maybe sometime in the future, are there any examples where you are forced to do 2 substitutions and there is no way to do it in one?
@dipakrachchha5138
@dipakrachchha5138 6 лет назад
Sal thank u very much
@MrSoapyturtle
@MrSoapyturtle 11 лет назад
THANK YOU!!!!!!!!!!!!!!!
@stefanodomeni
@stefanodomeni 4 года назад
Shout out to that crow though
@Azzucips
@Azzucips 11 лет назад
You're never "forced" to use any type of substitution once you find patterns
@errolmoss6939
@errolmoss6939 4 года назад
couldn't the answer just be 1/5 ln(e^sin(5x)) ?????
@veness2336
@veness2336 11 лет назад
Argh. I stopped paying attention to what he said and started listening to the crow!
@JustinSoeung
@JustinSoeung 11 лет назад
THANK UUUUUUUUUU-- lol get it. U-
@geetarwanabe
@geetarwanabe 11 лет назад
obnoxious crow. lol
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