Absolutely fantastic! 👏 You’ve got a special talent with which I’m sure you will help many many students understand maths concepts in ways they never would have before. With content like this there is no doubt about it that you will go very far!
Love the clear animations and easy to follow explanations!! You made a seemingly difficult concept a lot easier to understand so it will definitely stay in my memory now!
6:02 , the indefinite integral should have had abs value around f(x), bc f(x)=x+1 has negative f(x) values. I.e. ln|(x+1)| + C, where x ≠-1 Original function had domain (-inf,-1)U(-1,+inf) You get an anti derivative at every point defined in the original domain.
Ask my professor today if there is a geometric interpretation. And they said there might be but that's not what they want to teach. And that really made my sad. I looked it up on RUclips and there were only a few videos that had visualizations. Thank you for providing what I was trying to figure out in my head alone. Would have loved to get the visualizations for the examples as well. And find how it's transformed to get the new borders in the substitution
It's amazing! I'm glad to see FREE PDF file in your website. Your video also fantastic! I anderstood this theme immediately after watching your video! AMAZING!
How is to possible I haven't seen this video earlier. It would have helped me sooo much. Visualizing like this is uncomparable to solving definitions and proofs
great once you get into the meat of it, but the opening scenes in these always have no bearing on why you would use these methods and are never mentioned again... would be perfect without that great work
![Noob To Max With DRAGON REWORK In Blox Fruits [FULL MOVIE]](http://i.ytimg.com/vi/LnBMOinoOvA/mqdefault.jpg)
Absolutely fantastic! 👏 You’ve got a special talent with which I’m sure you will help many many students understand maths concepts in ways they never would have before. With content like this there is no doubt about it that you will go very far!
All of this for free; amazing and much appreciated
Wow! Excellent animations! I have never seen integration by substitution visualised! Great work!!
I loved the penalties ending to the football analogy, a great way to explain the concept of integration by substitution!
Love the clear animations and easy to follow explanations!! You made a seemingly difficult concept a lot easier to understand so it will definitely stay in my memory now!
Even though the substitution method is pretty intuitive, it's good to see visually why it's true. Great job!
The visuals are absolutely amazing and really helped me grasp the concept!
6:02 , the indefinite integral should have had abs value around f(x), bc f(x)=x+1 has negative f(x) values.
I.e. ln|(x+1)| + C, where x ≠-1
Original function had domain (-inf,-1)U(-1,+inf)
You get an anti derivative at every point defined in the original domain.
Still an awesome visualization. Thanks for this, sir.
Ask my professor today if there is a geometric interpretation. And they said there might be but that's not what they want to teach.
And that really made my sad. I looked it up on RUclips and there were only a few videos that had visualizations. Thank you for providing what I was trying to figure out in my head alone. Would have loved to get the visualizations for the examples as well. And find how it's transformed to get the new borders in the substitution
That's a bummer: calculus is fundamentally geometrical, such as Cavalieri's Principle.
Check out 3blue1brown as well.
This is by far the best explanation I've ever seen for u-sub. Please keep making more content
Beautifully made! This is a lovely angle to take, and also hints at the relationship to Jacobians in multi. Loved the visuals and explanations :)
It's great to see maths explained in more creative ways, very engaging and informative!
I saw the thumbnail of this video on 3B1B and I don't regret looking for it
It's amazing! I'm glad to see FREE PDF file in your website. Your video also fantastic! I anderstood this theme immediately after watching your video!
AMAZING!
Very clear and concise and a brilliantly informative pace! 👏🙌
Thank you for this amazing video. It is very detailed and helpful. Also I love the animation!
oh my god, this has helped me SO MUCH, the animation was ON POINT i now UNDERSTAND
thank you for the video ^^
Absolutely awesome really good explanation about integration by substitution 👏🏻👏🏻👍🏼
Great explanation about integration love the visual.
Brilliant! Best explanation anywhere! 😃
How is to possible I haven't seen this video earlier. It would have helped me sooo much. Visualizing like this is uncomparable to solving definitions and proofs
Brilliant explanation and animation
Love it! Very clear, students will love the motivation in your voice 👍keep up the good work 😃😃
What graphing machine are you using at minute 2:46? please, please👏
Amazing video, very clear explanation. Thank you!
Super informative! Love the visuals
This is was so well explained!!!
You're a snack 🥨
2:28 why when x= 2 then y=3 and u=4 then y also equal to 3 ?
I also found this to be a jump
Fantastic explanation thank you so much 👏🏻👏🏻👏🏻
Thank you so much for this visualization
Thank u so much for your fine work
Thank-you! legend!
Hi, it is fantastic！🎉 and where is the problem sheet？
beautiful ANIAMTIONS
Great work.
Amazing!
Sir what application ypu used in this presentation?
always feel like 'I know how to use the tool without knowing why they worked'
"Substitute" ~ The Who
This is mathematics.
great once you get into the meat of it, but the opening scenes in these always have no bearing on why you would use these methods and are never mentioned again... would be perfect without that
great work