U-Substitution - More Complicated Examples
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- čas přidán 4. 04. 2008
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Basic U-Substitution Examples • ❖ Integration using U-...
U-Substitution - More Complicated Examples - Using U-substitution to find antiderivates. These examples are slightly more complicated than the examples in my other video!
Excellent explanation.
There was a little mistake. For the third problem, the denominator has + between (1-x^2) and sqrt(1-x^2). That being said, you would need change the minus sign in your denominator between u and square root of you, v^2 and v, and finally between square root of (1-x^2) and 1 at the ending result.
u made a mistake on 4:37- 4:41. It should be a "+" sign
chan tom thanks, I thought I messed up hahah
Nithesh S. he factored out a negative, thus changing the inside functions polarity
Manny Ramirez Nope
Sure he messed up
Mike Kato The solution should be -ln|sqrt(1-x^2)+1|) + c
Can you please replace my calculus professor?
mine too
Calculus professor substitution
Mac Just watch his videos instead man. Bin your professor.
Don't you mean SUBSTITUTE? :)
Just letting you know that your video is still helping people to get through calculus. Thank you very much.
7 years later, and this video still helps Calculus students like me :)
10 years bro...
11 years man...
17 years man...
@@adi-sngh :D this was made when I was born, and waited for me to click on it my entire life, I guess
13 years
@bobish101 so for x in your u = 16 + 2x part; then plug that in, divide it out and integrate
I never would have thought to do a double substitution. Your work is amazing and I've been watching your Integration videos for a few days now and they're helping me so much! Thank you for these videos.
@bamf703 trying to keep the v's from lookin' like u's
I love your little comments catering to the people LEARNING. One of my biggest problems with some professors is they seem to not address or display any understanding or acknowledging the difficulty something might have for people who are LEARNING. Your comments show you are a very good teacher by acknowledging that "when you don't know how to do something, sometimes it seems like the hardest thing ever".
at the beginning of the day i couldn't be able to explain what U-substitution even had to do with anything but after watching all of patricks U-Substitution videos I've learned more than my teacher or my stupid calc book could ever teach me. Kudos from MA.
Sometimes I feel like you are a magical mystical being that just KNOWS.
Thanks for being awesome!
the first integral can not be integrated.
you would use a series expansion to approximate it to any desired amount of accuracy however.
the second integral is just arctan(x).
for the third, i assume you mean:
1/[x(4x+1)^1/2]
at a glance like you would let u = (4x+1)^1/2
solve for x, find dx, plug it all in and you would have a problem that you would have to use partial fractions on
Many Thanxx, you're my hero. I don't know why my lecturer couldn't teach it as clear as you.
your v's look like square roots :(
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Thank you soo much for these videos. My teacher shows us the easiest example and then expects us to learn the rest on our own, you pretty much are my Calculus teacher, thanks, you rock!
Once again, thank you for these videos which are concise, explain the theory AND how to do it (the algebra part). My calc I teacher does his best to explain these things but it doesnt make sense. I've been using your videos since last summer's Trig class with him and now for Calc I (my husband used your videos as well when he was in school and is the one who suggested you). What a BLESSING! Your videos are the main reason Im grasping the concepts and how to do the problems. And with finals coming up in 8 days, theyre helping me learn and review everything as well! See ya in Calc II. thanks again!
10 years later and I still find this video useful. Thank you Sensei
whats wrong with natural log? : )
Night before Calc BC test feeling pretty great about it. This video reinforced my confidence. Thnx bro
@AhOhy sorry, i do not do hw questions - it could be stuff for a grade and i am not comfortable answering that. however, i will give you a hint: you picked the wrong u sub.
QUESTION around 05:08 i still don't understand why you had to square the square root of U. I'm confused as to why we can't write it as U to the one half and then differentiate. Sorry i haven't done calc in a while and i'm rusty as *$%^.
@cincottallll so teach yourself if you are that interested in it! why wait for someone to 'teach' you? although you need some trig as well before you jump into it.
12 years and counting but bruh u're still helping a lot of students who are unfortunate on math teachers sskksks hope you're earning what's right for you now.
@mylesbianify well i assume you meant u-substitution. if he meant trig substitution, that is correct
yes! you are absolutely correct! it should be u + u^5! thanks for pointing out the error!
It'd be pretty cool if in videos where all you are doing is examples, you showed a preview of each type of problem you will do with links to the time that you do each example. It might not be worth the effort, but just a thought! Thanks for all your videos, they have helped me go from a B math student to 94% in Calc I!
+Cody Balos that is a good idea, i will keep this in mind for future videos
@vhskeva ha! glad you like the videos so much : ) sometimes i turn on like 15 videos at once and get a surreal patrickjmt effect. my wife thinks i am crazy ( i also do it to annoy her!!)
How could i just found your channel!!?? You teach so good, better than my math teacher
+Eat, Love and Eat Again Welcome to the good life! :-)
Finally understood this before 2 hours from the exam! Subscription well deserved sir
Thank u soooo much for your videos!! You're such a great teacher I always recommend ur videos to my friends 😊 I really find them very useful and they have helped me a lot!! Thank u again!
well, you can treat it as a fraction!
plus, we are calculating the differential:
the differential of u = e^x
is du = e^x dx
You and Sal really helped to pass all my uni math courses, big thanks to you!
This guy is better
@sam1209 sometimes it is nice to take the scenic route.
You teach way better than my teacher! Finally, something I can understand. Now I can ace the test I have tomorrow. :) Thank you for all your hard work~
great video very clear! just to mention that to others who is watching this video, the question involving 2 substitutions does not necesserily need 2 subs, u^2=1-x^2 gives same answer.
@JRaby21 u have to use taylor series. it does not have an elementary antiderivative
@mylesbianify no, you can not. it looks like a trigonometric substitution to me (after completing the square)
Patrick we all thank you so much you made our math's struggle an easy task , without you we have not passed our exams
thanks
we should make a donation to support you for what you do without any financial interests
we all love you
long live the mathematics and the mathematicians
Great explanation...very comprehensive examples...Thanks
Today I am a what I'd like to call a successful engineer.
Thank you Patrick.
We all owe you.
you have perfect handwritting , explanation skills as well as pace
@omegaplatypus cause i used to get them cofused with ' u ' so i put a little hook on them to help myself
Thanks Patrick, this video helped a lot. The problem at min 8 was just the one I was stuck at.
Thanks a lot:I have an exam tomorrow, I was absent when my class was doing substtitution techniques, I got a handout my teacher made on it so I can study but it was like bullshit...so, there I was looking for help on the internet, and found just the one! It was easy to understand I didnt need to re-watch it many times to grab the idea of it...too bad YOU arent my teacher!!!lol pls keep uploading!! thx.
@ladyasphodel i prefer complicating things as much as possible.
14 years ago! thank you for posting this!
I have a test about this today. This just made me understand everything! Thanks
this helped me in so many ways O: thank youuuuuuu(because what they discussed in school is far away from what is given to us in assignments and exams xD)
This was very helpful. Thanks Patrick.
I want you pens ... that is why people are good at math, sometimes they want to write with cool pen.
It's. A. Fucking. Sharpie.
hi patrick, at 4:46 u wrote u - sqrt(u) . it should be +
small error but great video nonetheless. thank you!
he wrote the correction
i love u patrick because of u i passed my calculus classes
AWESOME VIDEO. You sir just saved me from alot of trouble. 👏🏻
2017 and you rock all the time!
You are the best mathematician I have ever known!
OMG you are actually amazing! you are helping me with so much of my university work! i love you" you are a genius! and such a good teach! you explain things so well! :)
Fantastic explanations!
@D4ntesword yes, that is wht i would do
thank you so much. your video has been so helpful
yes, sorry about that! someone else pointed it out! i add text comments into the video so that people will now be aware of the mistake. Thanks for pointing it out!!!
omg u saved my life!! my high school calc teacher is terrible and because of that my grade is falling, but with your video you totally saved my ass! thank you!!!
great! glad it helped
For the last problem you can just set u to x+4 instead of (x+4)^(1/3)
U=x+4
X=u-4
Du=dx
Integrate (u-4)*u^(1/3) du
To get the same answer... But a little simpler
the best lecturer ever..now I like calcus coz of u.
I really appreciate your vids - very helpful
Good examples with better explanation, get it boy......Thanks for the video..
You. Patrick. GENIUS !!!!
i find the hardest thing to do is double or triple substitution.i lost track of them quite a bit.
Great video very helpful. Thanks!!!
I used to think this kind of math was just dumb to do. Then I found Patrick. Anytime I have a question about how to do something I immediately search your website and CZcams Channel. It immediately becomes clearer and a light bulb pops into my head. Now I almost look forward to moving into my higher level math classes at my university as I work towards my Computer Science degree.
Cheers, these are great tutorials!!!
@TrAnScEnD3nT derivative of e^x is e^x
love studing this way man thanks a lot
I'm failing my math class because my teacher can't explain how to do anything but you are saving me right now I think I will pass. Haha. thank you.
2k19 and tomarrow is my calculus exam... THANKS BOI👍
That third example is satanic. Would never get that on a test :/
Average? That's like you have to be able to do it in your head in my course - try ⌡√(tanx)dx
What course are you talking +rusko dudesko
Rajat Bansal calc 2
***** k which university or college
Rajat Bansal at a community college - I'm transferring to UCSC as a junior, here is a question I pulled from random on an exam:
⌡1/(2-sinx)dx
and one I picked just to prove this guy wrong:
⌡(2x+1)/(x^4+x)dx
The way you explain it is so clear and is can be easily understood, and the way you film it particularly helps too. Are you sniffing the marker? lol jk, thank you very much!
You're simply amazing.
Hi Patrick, Regarding the third question. Why did you choose such a difficult U substitution? I used U=x+4 and it's much easier to follow. I don't mind the U sub used mainly because it showed me a different way of doing it but I found that more difficult. I'm just saying in case someone was thinking of doing the same I did. Thanks for all the help. You're pretty much a super hero to me!
I did it the same way and got the same answer.
@cdromurmom no.
I usually have difficulty in figuring out whether to do substitution before integration by parts or after, is there any way that can help me understand it better? Also, thanks for all the videos, they are a life saver :) !
Hello, i want to thank you, you are doing very very good job that helped me to know more integration in Deferential Equation, thanks allot.
@TheRoadofDestruction i do not have a time limit any more : )
Wohaaaw I love the feeling of achieving correct solutions... LOVE YOU
Everyone should stop complimenting patrick's teaching style, because then he might go and teach again.
This dark prospect must not, cannot, will not happen! What would we do then?!?
j/k
Thanks for the help. Finally I get u-substitution.
i see by your wide range of the english vocabulary, that you would do even better in an english exam
You are a F'ing legend bro!
ive been watching your videos, and you should be duplicated and be shared to all universities in the world, to make our lives easier. thanks by the way for your videos
Excellent! Thank you from England :)
@motheahmad29 politics in usa is an amazingly wacky, ineffective mess. the last thing i would want to do is get involved in it. i would go back to waiting tables before i would be president.
This was great, thanks....mate.
yep! you are right
Wow these are awesome!!! :D Thanks!!
perfect explanations!!!!
MR Patrick we need more videos what are your thoughts on organizing a an integration maths competition
no problem!
Great Video! Extremely helpful. Wish you could be my calc teacher.
Great Videos Patrick!
But can you please tell me how do we get to know about when to use the U-Sub?
SUPEr helpful. Thank you so much
Simplemente impresionante!!
Thanks teacher is great!!!!