@@blackpenredpenHey bprp.if may ask, has there been any calculus question that you've personally created that had proved quite challenging for you to solve, ever before.
@@ryanspivey1819 Bro its impressive because he was doing it for 9 hours straight. By your logic, David Goggins doing 4030 pull-ups in 17 hours is not impressive either because there are teenagers who have done over 5000 pull-ups in their lifetime.
Can we all stand up together for a moment and appreciate how much hard work and effort bprp is putting into the hard and intricate mathematical theorems to make them easier? Cheers Steve, you're making my approach to calculus and maths for university exams easier! :)
It is very refreshing to see the presenter to do things live, in real-time, with small typos corrected and elements of improvisation : that is exactly how these topics must be taught to any student body, not via a power point presentation :)
@@cameroncurtis7261it’s because they’re getting rid of blackboards. And if they still have blackboards they clean them with some chemical that makes it harder to see the chalk.
I skipped ahead to see how badly your cheerful demeanour would be eroded after 9 hours of integrals, but you seem to be in great spirits throughout! Amazing! Also, you helped me remember how to do chain rule integration which I haven’t had to do in years, so thanks!
must say he is one of the best mathematics teacher i have ever seen [ he gives better pov to understand the question and solve it ] ...love from india 🇮🇳
calculus problems involve a lot of logic you learn in previous courses, in calculus you learn many laws and methods to solve specific problems and once you apply a rule that you learned, the rest is factoring and solving and stuff
You understand it slightly because you are just getting the style of it. Not knowing the logic behind will not help. But even understanding a bit without knowledge is good. I can see a good calculus student in you
your way of explanation is so amazing!!, even though i didn't learn power series, i was able to understand the last question. your students are really lucky to have you as their teacher!
just found this channel and man as a 15 yr old entering his senior phase(where math gets real), I'm honestly excited after I've seen the dedication and expertise this man demonstrated. SO I hope ill be back in the next year or so actually understanding these concepts in sense.
All the best! Calculus is a fun experience, although frustrating at times. I hope you get to enjoy the subject as you go through this new phase of life
@@divinebanana8400 no not sure about that, i believe calculus comes in a later grade but not grade 10, calculus is near the end of high school for me (not so sure tho) but prolly more indepth in university.
Hi blackpenredpen, love the effort into these videos! I recently realized I have a family member who is also a professor at UC Berkeley! He is in the physics department, Rene Bilodeau. Small world. Happy new year from Canada.
I really enjoy mathematics when I see the explanations so perfect that you do, thank you professor for teaching us and showing us your passion for this beautiful science!!!!
Watching this without even knwing what the fuck hes talking about is so relaxing bro. Im just sittin here watching an asian guy doin math and its so chilling ❤
I found an interesting approach to Q49. I added an integral of 1/lnx dx and also subtract it to keep the original value. Then I used IBP on the integral -1/lnx and I got -x/lnx - the original integral, so they cancel nicely. Then i just solve the remaining integral as li(x), so I got my final answer: li(x) - x/lnx +C
if Q9 with the numerator and denominator dividing on cos²x, that would lead to dtanx/(1+tanx)² and a way for Q33 with multiplying 1-cosx up and down after decomposing the term sin2x in the denominator brings in (1-cosx)/sin³x as the integrand and results in c+[cscx(cscx-cotx)+ln|cscx-cotx|]/4 and Q35, c-2ln|cos(x/2)|; with the result of Q54, the x² term can be further operated; Q94, the result written down misleaded, π/2
Hello ! I hope you see my comment I saw this nice question so that I recommend it The question is : solve the system of equations a = exp (a) . cos (b) b = exp (a) . sin (b) It can be nicely solved by using Lambert W function after letting z = a + ib Hope you the best ... your loyal fan from Syria
hey BPRP, I just wanted to say how much I appreciate the content that you make and the incredible amount of work you put into it. you seriously have no idea just how much this content means to us and has helped us. I’ve been watching you since my first calculus class, and I have surpassed linear algebra largely thanks to the fundamental ideas that you have highlighted and reinforced in your content. thank you from the bottom of my heart.
An integral you should try: 1/ln(1/ln(x)) or -1/ln(ln(x)). It's quite a special integral. I also want to see how you are going to do it, since maybe the way I did it isn't the best. Btw. love your videos, keep it up!
I am watching this video for 9 hours as a review for an 1.5hr midterm exam tomorrow :) Learned many new techniques, which I wish I could recall tomorrow.
Number 9)multiply nominator and denominator with sec^2x so we get integral of sec^2x/(tanx+1)^2 dx substitue u=tanx+1 Du=sec^2x so we get - 1/tanx+1 rewrite tanx as sinx/cosx, do the calculating and you end up with sinx/sinx+cosx +constant (sorry for my bad english)
Would u mind telling me how to reach sinx/ sinx + cosx using this way? I tried manipulating -1/1+tanx but couldn't find how yo reach it, but you inspired me by multiplying by csc² which will end up in a nicer way
i didn't believe it at first so I dragged the track to speed up, and the first thing I saw was the clock turning smoothly. Respect. And thank you I needed this for calc 2
For question 4th, substituting lnx = u, we get e^u.u/(1+u)² and now thinking from the derivative perspective we see that this looks like the u/v rule, and on some trial and error you come to know that it is the derivative of e^u/(1+u) and hence putting back u as lnx you get the ans, pretty much without any sort of integration.
OMG! It was really challenging. But thanks for such a technical solution. This guy is really genius and intellectual. Enjoying the content of this channel.. Well done keep it up. #SUPERMATHS
wow thanks i'm actually in the 7h and i so tired but it really fun doing it nonstop with you i swear, it really unfortunate that i didn't discover you before you really an inspiration and it was really fun doing it in one take with you, i'm looking to become better than you so don't give up on your perfect work and inspire people. thanks god there is some amazing teacher like you.
This is just so incredible and amazing! Also, I would love to see like some sort of competition in this between maybe you and Dr. Peyam or something like that (Maybe something like the MIT Integration challenge thing, but I'm sure you guys would make it more fun), You guys could put a prize on it too! I'm sure it would drive a lot of viewers and be much fun!
i want to know how is this possible ? is it even possible for a human to stand for 9 hrs and do intergrals continousy ? if it is possible then how can we learn this art ?
