You just saved me another panic headache. You explain things so well, even my engineer of a father recommended you over his own explanations. Thanks a lot!
my new study method is watching 10min youtube videos before reading my text book. Idk how they do it, but each and every teacher/text book manages to make me super confused and make everything harder than it actually is. Thank you for your service prof Dave!
He explains so well in so little time. I love the excercises at the end because it helps me review what you taught and makes me more confident in what I learnt.
You can learn all high school, college math within a year by giving yourself a reason to do it for, since the brain is evolved to do certain tasks, for survival and reproduction. Save yourself a lot of time and money by doing AP exams way earlier, screw the norm brother.
Thanks a lot!!! I usually have no problem in maths but for some reason I simply wasn't able to wrap my head around integration by substitution. This really cleared things for me and lifted a huge burden!!
Dear Dr. Dave, I would hereby like to submit a humble request for your consideration of the production of an additional calculus video, U-Substitution of Definite Integrals. There's some extra thinking involved, and I would love to see your 5-10 minute take on it. Thanks for all the amazingly helpful content!
You can further simplify -ln|u| + c using the principles of natural logs therefore, it would be ln|u^-1| + c Which is the same as ln|1/u| +c Now substitute cos(x) for u: ln|1/cosx|+c Using trig, we know that 1/cos(x) = sec(x) Hence why the anti derivative of tan(x) = ln|sec(x)| + c
THANK YOU THANK YOU THANK YOU‼️‼️‼️‼️ i cant believe that all of my questions abt the substitution rule have been answered with a short, 10 minute video!!! THANK YOU‼️‼️‼️
I'm sorry, I know this is said often but... holy cow. This man is up here explaining things that, a year ago, I would have understood about as well as Einstein's Field equations and yet I'm understanding it. The crazy thing is that even though it still sounds nerdy af (which is something I always used to appreciate, but wasn't really able to properly replicate due to a lack of understanding), it's not just going in one ear and out the other. Now I'm not gonna say that it's solely Dave or even just solely TH-cam, but between last year and this year I went from failing at properly comprehending Pre-calc class to sucking in information on Calculus and planning on taking an exam to skip taking the first class all together, and I feel like it wouldn't be possible at *_nearly_* the speed it happened without TH-cam and Dave more than many. I could even say even Khan Academy hasn't helped as much. Thank you, Professor Dave. I first came here for anti-conspiracy content... but I subbed for this.
What have I been doing in high school? I didn't learn anything back then. Now, I understand everything. Where were you Professor Dave when I needed you?
Do you have any advice for me learning calculus like in the video? I’m in high school and not doing too well :( . It’s hard for me as I have to juggle many subjects.
What is the video in this series that is where Dave justifies the splitting of dx from d/dx to be able to "multiply" the integrand by dx to get 2x dx = du?
Is the point in the substitution rule to simplify the equation? Cause if so i dont really see it it just makes everything more complicated than it already was. Either way, great video 👍👍
Hey so is it possible if you have an extremely long polynomial, that you can use the Subsitution method in two places in the polynomial at once? So if you had like two sets of parenthesis in a long poloynomial, could you substitute one for U and another for Y (random variable), and then do this method for these two different substitutions at the same time?
I watched a 30 min long video on yt... Not gonna take his name... And I was completely lost I couldn't understand a shit And then i stumbled upon ur video... Seriously everything is easy now... A bad teacher can make u feel dumb.. really Thanks dude for telling me the correct path when I got lost with that random youtuber
It's called "U-substitution", because it is common to use U as the temporary variable for it. I prefer to use W instead of U, when both integration by parts and U-substitution are part of the same problem. It is not the same thing as algebraic substitution, but the term substitution means the same thing in both of these terms. Ultimately what it means, is if you can recognize an integrand that is likely the result of a differentiation through the chain rule, then you can switch the variable of integration, to a variable that represents the inside of a function. Suppose your integrand is a product of g'(x), and the composition of functions f(g(x)). The g'(x) term might not strictly be the derivative of g(x), but rather you might have to multiply by a constant to get g'(x). In that case, you multiply by 1 in a fancy way, as a constant divided by itself. Part of that ratio becomes the constant you need in order to complete g'(x) to be, and the other part of that ratio, becomes a leading constant of the entire integral, that you pull out in front.
Professor Dave is the teacher you always wanted but never had. Thank you, Professor Dave. You have saved me multiple times.
I have a great teacher soooo...
+1
You just saved me another panic headache. You explain things so well, even my engineer of a father recommended you over his own explanations. Thanks a lot!
my new study method is watching 10min youtube videos before reading my text book. Idk how they do it, but each and every teacher/text book manages to make me super confused and make everything harder than it actually is. Thank you for your service prof Dave!
He explains so well in so little time. I love the excercises at the end because it helps me review what you taught and makes me more confident in what I learnt.
There is a simple way to understand science.. Just take your phone/pc --> youtube --> Professor dave explains.. that's all
Dude my AP calc exam is tomorrow and no one could explain substitution to me until you, I’m in debt and at your service!
I'm a 12 year old tryna learn calculus and also I'm from the philippines and glad to say,this helped me a lot!
+1 sub for you!
You can learn all high school, college math within a year by giving yourself a reason to do it for, since the brain is evolved to do certain tasks, for survival and reproduction. Save yourself a lot of time and money by doing AP exams way earlier, screw the norm brother.
Damn, respect to you. I'd never be able to understand this at 12.
@@bologna3464 facts lol
saan ka nagaaral?
You're wasting your childhood
Thanks a lot!!! I usually have no problem in maths but for some reason I simply wasn't able to wrap my head around integration by substitution. This really cleared things for me and lifted a huge burden!!
You're an amazing teacher! Pls keep up with the great work!
Man you're genius. Every problem just make sense.
Dave - all I have to say is THANK YOU SO MUCH. This video was extremely helpful in developing my understanding of the substitution rule
I stan this man and will forever thank him for existing i can already feel my calculus 2 grade rising
This actually helped me a lot! Thanks!
th-cam.com/video/SbP3_d15yFc/w-d-xo.html
This guy is genuinely better than organic chemistry tutor. Things are always so clear and straight to the point.
I won’t stand for this Julio slander
truee both are good@@bonelessbooks9263
You are very wicked, organic chemistry tries his best,but you can't appreciate him
I FINALLY GET IT!!!! I have a test tomorrow morning and substitution was the only thing I couldn't grasp. That passing grade's in the pocket for sure
Thank you so much Dave!!! I got a 100%!!
Professor Dave is my gratest teacher ever I have seen.I love your teaching methods
Dear Dr. Dave, I would hereby like to submit a humble request for your consideration of the production of an additional calculus video, U-Substitution of Definite Integrals. There's some extra thinking involved, and I would love to see your 5-10 minute take on it. Thanks for all the amazingly helpful content!
You can further simplify -ln|u| + c using the principles of natural logs therefore, it would be ln|u^-1| + c
Which is the same as ln|1/u| +c
Now substitute cos(x) for u: ln|1/cosx|+c
Using trig, we know that 1/cos(x) = sec(x)
Hence why the anti derivative of tan(x) = ln|sec(x)| + c
I needed someone to explain this to me like I was a child.
2:02 this is what i needed to know, the teacher i was watching was explaining it so weirdly.
The best teacher on TH-cam.
THANK YOU THANK YOU THANK YOU‼️‼️‼️‼️ i cant believe that all of my questions abt the substitution rule have been answered with a short, 10 minute video!!! THANK YOU‼️‼️‼️
I'm sorry, I know this is said often but... holy cow. This man is up here explaining things that, a year ago, I would have understood about as well as Einstein's Field equations and yet I'm understanding it. The crazy thing is that even though it still sounds nerdy af (which is something I always used to appreciate, but wasn't really able to properly replicate due to a lack of understanding), it's not just going in one ear and out the other.
Now I'm not gonna say that it's solely Dave or even just solely TH-cam, but between last year and this year I went from failing at properly comprehending Pre-calc class to sucking in information on Calculus and planning on taking an exam to skip taking the first class all together, and I feel like it wouldn't be possible at *_nearly_* the speed it happened without TH-cam and Dave more than many. I could even say even Khan Academy hasn't helped as much.
Thank you, Professor Dave. I first came here for anti-conspiracy content... but I subbed for this.
Another best teacher across the world is our respected sir dave. Sir i am from india and still my all my country mates watch ur chnnl to ace science.
Sir you don't even know how much of a headache and heartache you saved me from ❤️ 😭
Your way of explanation made things pretty much easier
谢谢！
gotta love professor Dave, finally understood the concept after a WEEK of working on this!! gotta love him :D
God bless you professor Dave, you are saving lives out here, emotional lives that is
math with this guy is on another level
thanks Dave. I am preparing for my final exam for one of the hardest math courses!!! tnx
Thank you sir for your dedication and for making this free! 🙏
You saved my life.Thanks that you are born.
What have I been doing in high school? I didn't learn anything back then. Now, I understand everything. Where were you Professor Dave when I needed you?
Do you have any advice for me learning calculus like in the video? I’m in high school and not doing too well :( . It’s hard for me as I have to juggle many subjects.
Just start at the beginning of the calculus playlist and work your way through?
th-cam.com/video/SbP3_d15yFc/w-d-xo.html
Thank you professor
Who knew that a chemist would be saving my math homework.
9:43 The answers are in order: ln|x^2+3x| + C and -cos(ln x).
why is there a minus beside the cos?
@@ak_oneoneoneBecause the derivative of cos is negative sin.
@@MarioManiac81 ohh yah that makessenss
I finally understand my lesson in calculus. Thank you!
Thanks prof. Dave
Thank you Professor Dave
Thank you Prof Dave!
Finally understand !!! Thank you so much!
Thanks a lot! My teacher just put up a formula of it and told us to memorise lol
Love From INDIA❤🇮🇳‼️
Thanks! I came for help with organic chemistry and stayed for the calculus help.
Thank you sir for this simple and best explanation on this topic.❤
finally a video that explains this well.
What is the video in this series that is where Dave justifies the splitting of dx from d/dx to be able to "multiply" the integrand by dx to get 2x dx = du?
simple and easy steps to understand thanks Man
Thanks a lot!
Thank you prof. dave!
I needed this like 3 years ago
It's not too late to learn now
I'm totally using that smiley face variable on my next exam
professor dave explains is so cool
Thanks a lot professor ❤❤ love from Bangladesh
Thank U, Prof. Dave.
I watched third time and I took notes.
Thankyou❤️
an amazing explanation brother
Thanks a lot sir, after long time of learning I've understood by yuor explanation
Thanks very much Prof. Dave!
For helping me to understand it more.
Professor Dave, please can you start a series on DIFFERENTIAL EQUATIONS?? Pleeeeaasseee??
Thank you best professor 🥰
You are doing a great job...keep it up
Thanks a lot
He is simply explaining the hard thing and God bless you.
U should say that x ≠π/2
Bcz if x=π/2
Than cos π/2=0
ln0= unlimited form
Thanks sir!
Thanks a bunch 💐🙏
Thanks sir
It helped a lot
thank you sir
I always go back to this video whenever I can't remember how to do u substitution. It's been almost a year already
Is the point in the substitution rule to simplify the equation? Cause if so i dont really see it it just makes everything more complicated than it already was. Either way, great video 👍👍
th-cam.com/video/SbP3_d15yFc/w-d-xo.html
Hey so is it possible if you have an extremely long polynomial, that you can use the Subsitution method in two places in the polynomial at once? So if you had like two sets of parenthesis in a long poloynomial, could you substitute one for U and another for Y (random variable), and then do this method for these two different substitutions at the same time?
Thank you Math Jesus
He teachers so cool man thanks!!
Thank you!
Very amazing technique that can be shared to my classmates 🤗
how do you spend your day ?
I'm spending my days this summer self studying in advance for the nxt school year
Thank you so much 🥰 that was very helpful 😊
I watched a 30 min long video on yt... Not gonna take his name... And I was completely lost
I couldn't understand a shit
And then i stumbled upon ur video... Seriously everything is easy now... A bad teacher can make u feel dumb.. really
Thanks dude for telling me the correct path when I got lost with that random youtuber
Thank you😊👍
you are great sir
it is really great
Thank you so much
thank you
this is the best way to learn mats
I love you professor Dave
chain rule in reverse thats just what i thought of right before you said it 4:15
It helped me
For the second example that was shown, after applying u-substitution for it to then become du/3=x^2dx; what would happen to the x^2?
It (and dx) will be represented by 1/3 du. It's already part of it.
Thanks a lot brother
Hello, professor. I am just confused about the true answer in the integral of tan(x), if it must be ln |sec x|+c or -ln |cos x|+c? Thank u.
right?
8:27 Shouldn't the minus sign become plus for the left part of equation, if we add it to both sides?
Thanks
Thanks very much.
you are intelligent thank youuuuu
Understood very well, but in exams when I see the questions, I will forget all of it 😢😫
1. ln|x^2 +3x| +c
Done.
Comprehension done.
Thank you sir! :)
Professor dave, I have a question, is the U substitution the same as algebraic substituion?
It's called "U-substitution", because it is common to use U as the temporary variable for it. I prefer to use W instead of U, when both integration by parts and U-substitution are part of the same problem. It is not the same thing as algebraic substitution, but the term substitution means the same thing in both of these terms.
Ultimately what it means, is if you can recognize an integrand that is likely the result of a differentiation through the chain rule, then you can switch the variable of integration, to a variable that represents the inside of a function. Suppose your integrand is a product of g'(x), and the composition of functions f(g(x)). The g'(x) term might not strictly be the derivative of g(x), but rather you might have to multiply by a constant to get g'(x). In that case, you multiply by 1 in a fancy way, as a constant divided by itself. Part of that ratio becomes the constant you need in order to complete g'(x) to be, and the other part of that ratio, becomes a leading constant of the entire integral, that you pull out in front.
@@carultch Didn't even give you a thank you. What an asshole they are.