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How comes i'm getting (2π/3 - √ 3) as the value of the integral and not [2π/3 - (√ 3)/2]?

Still not sure why these videos have <1K views. Doing 119 now and these videos have been such a lifesaver.

thanks so much for having the heart to post all this excellent content for free. You easily could've turned this into a course and charged us but you're putting this entirely out in the open, without gatekeeping anything. Also I literally took this course but I was so confused the whole time. Now that you're explaining it, I realized it's acc pretty simple, and super neat stuff. I love how you start from a very simple fact and just build it up from there, super naturally and easily. Because I can understand it so well, it's naturally immersive, and your friendly vibe makes it even more. So thanks a lot for posting these, I really appreciate it and I know a lot of people do as well.

Great explanation! It was so easy to understand ❤

Superb !!! Nice explanation of the concept ❤

videos are exactly perfect but we need the some more examples

never commented on a video before but throughout my whole academic years of excellence this is the best maths playlist I've watched

your playlist saved me

thank you😍

thank you

ayy you deserved more views

really good explanation! thanks

well done clearly explain

Thank you. That was very helpful and clear

This channel is so underrated !!!

You explain in the simplest and intuitive manner ! Hats Off . Thank you!!!

i love you mr. cramer. you saving me in 1b

I think I love you. Thank you so much

simple exceptional !

super useful! thank you very much

Exceptional Concept building!

your give one of the best explanations on youTube for any topic. Your channel is highly underrated. Thank you very much!

Many thanks for clear explanation. Could you tell where is the course notes that i can download?

Thanks for incredible explanation 🙈😍🥰

7:28 you say here the the result is zero but in the last videos the same example evaluation of the result was 9-9(3.14) but in opposite direction how this happened ??!! And again thanks for these videos 🥰

6:34 why we separate the half of sphere into two different surfaces ?

Really good vide- 9:55 WHY WOULD YOU DO THAT

Very helpful. Thank you.

Thank you. That was very helpful.

What a great video!, very clear and straightforward explanation

Simply one of the best videos on differentiability of 3 functions with 3 variables.

loved the part that explained the cross product of the plane vectors ✨✨

One of the best videos to visualise partials rather than just applying the rules of ordinary differentiation!! Really loved it!!

Superb video, thank you!

I don't understand the Jacobian for this transformation being -1/2, As I understood it the Jacobian matrix is | (partial x WRT u) followed by (partial x WRT v) on top and (partial y WRT u) followed by (partial y WRT v) | on the bottom, basically the inverse of what is written at 8:11. I was so confused about the inverting strategy that I ran the calculation the way I learned it and ended up with J = -2. I went and watched some other Jacobian videos that show the same process I learned, and put the equations U=x+y and V=x-y into an online Jacobian calculator all resulting in J = -2. The calculation still results an answer of zero for the double integral. Can you provide any more clarity on doing the Jacobian in the manner you describe because I can't seem to make it check out in this instance.

Wow ! Well explained

can you please explain why are you saying u1-u2=1

8:44 How is it possible to change the sign of the terms from the IBP?

I do love your effort of explanning and logical steps, keep posting!!!

absolutely stunning, in terms of clarity of explanation. hope more ppl will find this gem.

Wow

Should the intervals be of round brackets since we know the end points aren't roots?

thanks for this, God bless you

Great vid!, it helped me a lot.

thank you so much for the video. <3

As an Ace attorney fan, this is the greatest thing a math teacher has ever done to help students understand the material. I'm curious, have you ever played these games before?

Horse shit, a length is not equal to a surface area. Why do you omit the units of the integrals? Common sense over rules your chicken scratches and muddled thinking. Get a brain. Did you get your college degree from a cereal box or comic book or is the university that you are attending have professors walking around the campus with their private parts showing?

Thank you So much. I am trying to understand the motivations and derivations of the taylor series. I have searched in a lot of places.in my searching, I suspected a connection between Gregory-Newton's divided differences formular in Gregory-Newton interpolation and the Taylor Series. Most people, when treating the Gregory-Newton interpolation, just start from Newton's Polynomials.In all my years of study, I have never seen polynomials represented in that form. It was very puzzling. I always asked myself, how is it possible a polynomial can be expressed in this manner. But here, you show how the polynomial was derived. Thank you so much.❤❤❤❤❤

All of your videos are soo good🎉. I really appreciate your work and thanks for helping me for my exams

thank you so much for this video, it really helped me to understand everything perfectly