@@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.
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.
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! :)
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!
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
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.
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 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!!!!
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
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.
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.
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
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!
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
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
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.
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!
Im spanish student, and i wish have the capacity that you have to do maths. I realy enjoy with your esplanations and keep going doing this types of video
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
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 ?
Timestamps below, all errors are my own :) the times below cut off some of bprp's best jokes/explanations/tired monologues, so watch those too!
Q1, 0:00:46
Q2, 0:03:03
Q3, 0:08:23
Q4, 0:12:34
Q5, 0:17:02
Q6, 0:19:42
Q7, 0:30:07
Q8, 0:33:45
Q9, 0:37:58
Q10, 0:45:16
Q11, 0:48:30
Q12, 0:53:16
Q13, 0:59:06
Q14, 0:58:34
Q15, 1:00:41
Q16, 1:04:56
Q17, 1:07:27
Q18, 1:12:27
Q19, 1:14:42
Q20, 1:18:50
Q21, 1:22:30
Q22, 1:25:14
Q23, 1:27:40
Q24, 1:37:44
Q25, 1:42:58
Q26, 1:52:14
Q27, 1:54:45
Q28, 1:57:45
Q29, 2:01:49
Q30, 2:04:49
Q31, 2:24:38
Q32, 2:27:17
Q33, 2:31:25
Q34, 2:35:00
Q35, 2:37:20
Q36, 2:42:02
Q37, 2:44:24
Q38, 2:50:18
Q39, 2:51:53
Q40, 2:56:12
Q41, 3:00:21
Q42, 3:04:07
Q43, 3:06:45
Q44, 3:11:58
Q45, 3:19:02
Q46, 3:24:19
Q47, 3:28:36
Q48, 3:31:54
Q49, 3:33:44
Q50, 3:43:40
Q51, 3:49:16
Q52, 3:55:44
Q53, 3:59:50
Q54, 4:03:18
Q55, 4:08:21
Q56, 4:09:21
Q57, 4:10:27
Q58, 4:12:40
Q59, 4:14:28
Q60, 4:19:48
Q61, 4:25:39
Q62, 4:28:52
Q63, 4:29:32
Q64, 4:32:55
Q65, 4:35:29
Q66, 4:50:04
Q67, 4:55:42
Q68, 4:58:36
Q69, 5:02:56
Q70, 5:10:32
Q71, 5:13:24
Q72, 5:21:08
Q73, 5:28:08
Q74, 5:34:14
Q75, 5:43:16
Q76, 5:51:17
Q77, 5:52:58
Q78, 6:00:28
Q79, 6:08:10
Q80, 6:13:28
Q81, 6:37:48
Q82, 6:45:45
Q83, 6:49:24
Q84, 6:54:00
Q85, 6:57:25
Q86, 7:03:50
Q87, 7:07:33
Q88, 7:11:11
Q89, 7:17:27
Q90, 7:21:37
Q91, 7:28:52
Q92, 7:37:47
Q93, 7:55:15
Q94, 8:07:00
Q95, 8:10:24
Q96, 8:21:05
Q97, 8:22:55
Q98, 8:26:30
Q99, 8:29:59
Q100, 8:33:33
Q101, 8:38:32
Thank you!! You’re awesome!
Thank you sir I love you
@@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.
FUIYOH!
wow, thanks nathaniel barnett! I used these timestamps at LEAST ten times.
This might be the mathematics equivalent of David Goggins doing 4030 pull-ups in 17 hours.
except that nearly every college student taking a calculus course does this while studying at some point..
@@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.
@@dokeo3333 That's not what I am saying. I'm saying all students have done integrals for 9 hours straight at some point.
@@ryanspivey1819 not all people do push-ups and not all people go to gym and not all people take calculus in college. both are impressive af.
@@ryanspivey1819 call anecdotal fallacy but I just never did or saw that in my life ever
Most impressive is that the kept holding the mic for 9 hours instead of putting it on his collar
😂
It is because mathematicians feel weird to leave a hand empty 😅
@@theunknown-qb9cjwhy?
@@matheusnunes970 because that'll turn the surface of his hand to an indefinite integral
😂😂😂😂😂😂😂@@axz0nice
Q1, 0:00:46 (u-sub)
Q2, 0:03:03 (trig identities + u-sub)
Q3, 0:08:23 (trig sub)
Q4, 0:12:34 (u-sub + IBP)
Q5, 0:17:02 (u-sub + trig sub)
Q6, 0:19:42 (u-sub)
Q7, 0:30:07 (u-sub)
Q8, 0:33:45 (linearity of integration)
Q9, 0:37:58 (trig identities)
Q10, 0:45:16 (partial fractions)
Q11, 0:48:30 (polynomial special products + u-sub + formula)
Q12, 0:53:16 (trig identities)
Q13, 0:59:06 (expansion)
Q14, 0:58:34 (u-sub)
Q15, 1:00:41 (u-sub)
Q16, 1:04:56 (trig identities + u-sub)
Q17, 1:07:27 (trig sub)
Q18, 1:12:27 (trig identities + u-sub)
Q19, 1:14:42 (trig sub)
Q20, 1:18:50 (u-sub)
Q21, 1:22:30 (proof of a reduction formula + IBP)
Q22, 1:25:14 (proof of a reduction formula + IBP)
Q23, 1:27:40 (proof of a reduction formula + IBP)
Q24, 1:37:44 (proof of a reduction formula + IBP + u-sub)
Q25, 1:42:58 (proof of a reduction formula + IBP)
Q26, 1:52:14 (box method)
Q27, 1:54:45 (u-sub)
Q28, 1:57:45 (algebra manoeuvres)
Q29, 2:01:49 (u-sub)
Q30, 2:04:49 (trig identities)
Q31, 2:24:38 (trig identities + Weierstrass substitution + partial fractions)
Q32, 2:27:17 (trig identities + Weierstrass substitution + formula)
Q33, 2:31:25 (trig identities + Weierstrass substitution)
Q34, 2:35:00 (Weierstrass substitution)
Q35, 2:37:20 (trig identities + Weierstrass substitution)
Q36, 2:42:02 (multiplication by the conjugate)
Q37, 2:44:24 (trig substitution)
Q38, 2:50:18 (algebra manoeuvres)
Q39, 2:51:53 (relation between e^x, f(x) and f'(x))
Q40, 2:56:12 (IBP)
Q41, 3:00:21 (u-sub + trigonometric integral)
Q42, 3:04:07 (trig identities + trigonometric integral)
Q43, 3:06:45 (trig sub + elliptic integral of the first kind)
Q44, 3:11:58 (u-sub + error function)
Q45, 3:19:02 (IBP)
Q46, 3:24:19 (IBP + Fresnel integral)
Q47, 3:28:36 (trig identities + trigonometric integral)
Q48, 3:31:54 (IBP + trigonometric integral)
Q49, 3:33:44 (u-sub + IBP + exponential integral)
Q50, 3:43:40 (u-sub + IBP + trigonometric integral)
Q51, 3:49:16 (trig identities + u-sub + elliptic integral of the second kind)
Q52, 3:55:44 (u-sub + IBP + Fresnel integral)
Q53, 3:59:50 (exponential integral + IBP + imaginary error function)
Q54, 4:03:18 (IBP + offset (or Eulerian) logarithmic integral)
Q55, 4:08:21 (exponential integral)
Q56, 4:09:21 (u-sub + exponential integral)
Q57, 4:10:27 (IBP + logarithmic integral)
Q58, 4:12:40 (trigonometric integral + IBP)
Q59, 4:14:28 (Fresnel integral + IBP)
Q60, 4:19:48 (Lambert W function + u-sub + IBP)
Q61, 4:25:39 (improper integral)
Q62, 4:28:52 (improper integral)
Q63, 4:29:32 (improper integral)
Q64, 4:32:55 (improper integral)
Q65, 4:35:29 (Gaussian integral + double integrals + Jacobian)
Q66, 4:50:04 (improper integral)
Q67, 4:55:42 (improper integral)
Q68, 4:58:36 (improper integral)
Q69, 5:02:56 (improper integral)
Q70, 5:10:32 (improper integral + partial fractions)
Q71, 5:13:24 (improper integral + u-sub + power series)
Q72, 5:21:08 (improper integral + Feynman's technique)
Q73, 5:28:08 (improper integral + u-sub)
Q74, 5:34:14 (improper integral + u-sub)
Q75, 5:43:16 (improper integral + u-sub)
Q76, 5:51:17 (odd improper integral)
Q77, 5:52:58 (improper integral)
Q78, 6:00:28 (Dirichlet integral + Laplace transform)
Q79, 6:08:10 (a variant of Dirichlet integral + IBP)
Q80, 6:13:28 (another variant of Dirichlet integral + Feynman's technique)
Q81, 6:37:48 (double integral)
Q82, 6:45:45 (double integral)
Q83, 6:49:24 (double integral)
Q84, 6:54:00 (double integral)
Q85, 6:57:25 (double integral)
Q86, 7:03:50 (double integral)
Q87, 7:07:33 (double integral)
Q88, 7:11:11 (double integral)
Q89, 7:17:27 (double integral)
Q90, 7:21:37 (double integral)
Q91, 7:28:52 (double integral over a given region)
Q92, 7:37:47 (double integral over a given region)
Q93, 7:55:15 (double integral over a given region)
Q94, 8:07:00 (double integral over a given region)
Q95, 8:10:24 (double integral over a given region)
Q96, 8:21:05 (double integral over a given region)
Q97, 8:22:55 (double integral over a given region)
Q98, 8:26:30 (double integral over a given region)
Q99, 8:29:59 (double integral over a given region)
Q100, 8:33:33 (double integral over a given region)
Q101, 8:38:32 (infinitely nested square root integral + power series)
thaNK HIM blackpen red pen
Your contribution is soooo helpful as somebody can review some important integral some times later! Thanks!
Thank you!!!
It would have taken you atleast 1 hr to type 😂
You will blow for sure 🌚
I have absolutely 0 idea whats going on in the video, but its still impressive!
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 :)
honestly, ppt math professors are the bane of my existence as a math undergrad
@@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.
Somebody give this man a medal. Though I think I'm equally amazed that you carried that mic for 9 hours straight.
Merry Christmas everyone!
Hi
Mery Christmas!!!!
U2
Merry Christmas calculus master! Love you 🎄😇
Merry Christmas! 2 million subs party next year!
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! :)
Thank you!
100 integrals part 3 please!!!!
😆
We’re driving a man crazy
Agree
💀
100 integrals for the new year
The dedication this man has inspires me to very greater extent
Could anyone please do the timestamps for this (in the format of "Q1, time")
Thank you very much!
sure!!!
no.
@@yashashwisinghaniathat’s crazy bro
Im willing to do that tomorrow haha, been here for 8 hours and I need sleep, its already 1am
done, hope you and your girlfriend enjoyed your christmas!
Avg Asian at weekend.
Fr
You are a very good human being for giving free education. 🙏🏼.
Love and respect from India 🇮🇳
In my country the education is absolutely free, but I cannot say that all teachers here are good humans))
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 🇮🇳
Teachnology is amazing, It can show the talents of talented and hardworking teachers like you
You dropped this 👑
مثال الجد والعمل ، ماشاءالله ، بالتوفيق
Q1 0:46
Q2 3:15
Q3 8:24
Q4 12:35
Q5 17:04
Q6 19:45
Q7 30:08
Q8 33:42
Q9 38:00 3answers with H.W
Q10 45:11
Q11 48:24
Q12 53:11
Q13 59:05
Q14 58:32
Q15 1:00:40
This guy is just insane
The efforts and dedication this guy has is really priceless
Incredible, you are indeed the GOAT of all Math content creators. 👍
oh wow.. i havent even come close to learning calculus in my school and yet i still enjoy and somehow understand these videos. congrats man
لقد ظننت انني الوحيد الذي لم يستجمع الرياضيات كما يجب 😢
@@a.Ak1non t’inquiète, moi aussi :)
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
@@pitchoutoum4840 (≥∀≤)/
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!
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
the PURE DEDICATION that goes in to these is absolutely insane. amazing.
Hello Mr. BPRP! I'm a 16 year old guy from Brazil and I love your videos, they helped me a lot to learn calculus. Thank you for making me love math!
This is awesome, congratulations 😁
Thanks
يستحق اكثر من مليون مشترك علي الجهد الي يبذل فيه 😭
اخيرا وجدت عربيا
@@omarelattaoui4988 hhhhhh morocco
Huge respect to this man who solve 100 integrals multiple times👍
Some teachers are Doing this daily, Hats off to our only good teacher who love their profession
BPRP has always been so passionate about math. He is my dream professor.
marker switching and holding a mic for nearly 9 hours straight... this mans is passionate.
Man really stood 8 hours in a go. Round of applause 👏
Does he not even go to the loo?
He really stood so far
Meet salim ahmad sir pw physics wallah 19 hrs , 17 hrs live class non stop
@@H15836 where?
@@turkeyphanthe is an Indian phy teacher
The Weierstraß subtitution is so elegant I love it!
Thank you bprp for putting so much effort into this. We truly appreciate all you have done!
the mad lad did it again. some of these integrals are something else! happy new year!!
😆 thanks!!
You are a great guy@@blackpenredpen
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.
Thank you!!! I am not a professor at UCB but am a graduate from there with a BA degree. 😃
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 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!!!!
He did not just do 100 integrals but he filmed from 6pm to 3am. That shows his hard work and dedication.
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
My salute sir for your dedication for maths 🙏🏻
I really appreciate your hardworking, man!
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.
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
Wait in foreign countries( I am from India ) u guys study only calculus for a year ? My heart goes out to u
@@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.
Merry Christmas everyone!. يستحق اكثر من مليون مشترك علي الجهد الي يبذل فيه .
Q1 - 1:01
Q2 - 3:23
Q3 - 8:40
Q4 - 12:46
Q5 - 19:59
Q6 - 24:45
Q7 - 30:20
Q8 - 34:03
Q9 - 38:10
Q10 - 46:00
Q11 - 49:04
Q12 - 53:20
Q13 - 59:06
Q14 - 58:34
Q15 - 1:00:55
Q16 - 1:05:32
Q17 - 1:07:41
Q18 - 1:12:47
Q19 - 1:14:55
Q20 - 1:19:04
Q21 - 1:22:52
Q22 - 1:25:38
Q23 - 1:28:00
Q24 - 1:37:53
Q25 - 1:43:05
Q26 - 1:52:22
Q27 - 1:55:09
Q28 - 1:58:18
Q29 - 2:02:05
Q30 - 2:04:58
Q30B - 2:21:35
Q31 - 2:24:54
Q32 - 2:27:22
Q33 - 2:31:39
Q34 - 2:35:13
Q35 - 2:37:30
Q36 - 2:42:11
Q37 - 2:44:42
Q38 - 2:50:48
Q39 - 2:52:11
Q40 - 2:56:22
Q41 - 3:00:41
Q42 - 3:04:31
Q43 - 3:06:58
Q44 - 3:12:24
Q45 - 3:19:33
Q46 - 3:24:28
Q47 - 3:28:48
Q48 - 3:32:19
Q49 - 3:33:55
Q50 - 3:43:57
Q51 - 3:49:28
Q52 - 3:56:00
Q53 - 4:00:00
Q54 - 4:03:31
Q55 - 4:08:31
Q56 - 4:09:29
Q57 - 4:10:41
Q58 - 4:12:47
Q59 - 4:14:10
Q60 - 4:19:54
Q61 - 4:26:08
Q62 - 4:29:02
Q63 - 4:29:50
Q64 - 4:33:04
Q65 - 4:35:56
Q66 - 4:50:30
Q67 - 4:55:51
Q68 - 4:58:53
Q69 - 5:03:21
Q70 - 5:10:47
Q71 - 5:13:55
Q72 - 5:21:31
Q73 - 5:28:22
Q74 - 5:34:48
Q75 - 5:43:49
Q76 - 5:51:30
Q77A - 5:53:11
Q77B - 5:54:50
Q78 - 6:00:40
Q79 - 6:08:21
Q80 - 6:13:38
Q81 - 6:38:06
Q82 - 6:46:12
Q83 - 6:49:48
Q84 - 6:54:17
Q85 - 6:58:10
Q86 - 7:04:38
Q87 - 7:08:03
Q88 - 7:11:46
Q89 - 7:18:04
Q90 - 7:22:21
Q91 - 7:29:10
Q92 - 7:37:58
Q93 - 7:56:50
Q94 (pi/2) - 8:07:48
Q95 - 8:11:23
Q96 - 8:21:41
Q97 - 8:23:38
Q98 - 8:27:14
Q99 - 8:30:54
Q100 - 8:34:06
Q101 (Bonus!) - 8:39:24
Merry Christmas Everybody!
This guy is just insane. Hats Off❤
The most patient man in the world
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
What a man! Someone give this dude an award pls! So helpful!
i dont know why this video is on my feed, but how he holds and switches both black and red pens is amazing! sooo fluid and smooth
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.
INTEGRAL AT 35:00 HAS CHANGED MY LIFE FOREVER
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!
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
we do not care
@@FantomaBatePalma01 a statement i don't care about either
one day people will do bingewatch of his 100 Integrals videos as a challenge.
The best teacher maths🎉❤
From Morocco 🇲🇦
A magnificent performance Sir. You are the greatest!
Q30, what about extending the fraction to sin(2x)/(1-cos²(2x)) and substituting u=cos(2x), then we get C-0.5*artanh(cos(2x)) quite quickly.
Goddamn hats off to you man. Nonstop for 8+ hours!
Thanks.
This level of effective work and that too "continuously" ❤ is greaaattttt
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)
Ahhhh yes!! Thank you!!
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
Maybe it is the R rule? And u are talking about Rsin(theta + alpha) or even the co-rule
Just lots of love and respect to u sir..From India 🇮🇳❤️
Can't wait to see this once it is processed
As someone with essentially no knowledge of math I've no idea how youtube shows me these videos and why I watch them every couple of months.
thanks for the video ... great work and big energy
This is like my dream video
My highest achievement is i have solved 600 sums in a week
you're dedication is truly very inspiring, makes me want to be as dedicated as you while doing something
I said what I wanted to say, what a coincidence
This is a masterpiece.
Thanks for your amazing effort & great math content. Most meme-able moment: 5:42:30 “The PI just wants to show up.” x 3 🤩
At 44:00 to get the 3rd ans divide by( cosx)² will get sec²(x)/(1+tanx)² and so on
I literally have a calc exam coming up soon so this will be amazing practice material!!!
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.
This video inspired me to give up maths.
😭😭
After 3 years this would be recommended to everyone and will get 10M views
SInce bprp asked for it!
Q1: 0:40
Q2: 3:05
Q3: 8:24
Q4: 12:32
Q5: 17:04
Q6: 19:40
Q7: 30:07
Q8: 33:44
Q9: 38:04
Q10: 45:19
Q11: 48:19
Q12: 53:14
Q13: 59:05 (yes he does 14 before 13)
Q14: 58:15
Q15: 1:00:40
Q16: 1:04:55
Q17: 1:07:30
Q18: 1:12:30
Q19: 1:14:45
Q20: 1:18:55
Q21: 1:22:30
Q22: 1:25:15
Q23: 1:27:45
Q24: 1:37:45
Q25: 1:43:00
Q26: 1:52:15
Q27: 1:54:55
Q28: 1:57:45
Q29: 2:01:50
Q30: 2:04:50
Q31: 2:24:43
Q32: 2:27:18
Q33: 2:31:32
Q34: 2:35:03
Q35: 2:37:18
Q36: 2:42:03
Q37: 2:44:23
Q38: 2:50:23
Q39: 2:51:28
Q40: 2:56:13
Q41: 3:00:23
Q42: 3:04:23
Q43: 3:06:48
Q44: 3:12:00
Q45: 3:19:00
Q46: 3:24:18
Q47: 3:28:38
Q48: 3:31:53
Q49: 3:33:43
Q50: 3:43:43
Q51: 3:49:08
Q52: 3:55:48
Q53: 3:59:59
Q54: 4:03:18
Q55: 4:08:23
Q56: 4:09:23
Q57: 4:10:38
Q58: 4:12:43
Q59: 4:14:08
Q60: 4:19:53
Q61: 4:25:38
Q62: 4:28:33
Q63: 4:29:43
Q64: 4:32:58
Q65: 4:35:30
Q66: 4:50:10
Q67: 4:55:45
Q68: 4:58:40
Q69: 5:02:55
Q70: 5:10:35
Q71: 5:13:25
Q72: 5:21:05
Q73: 5:28:15
Q74: 5:34:15
Q75: 5:43:15
Q76: 5:51:20
Q77: 5:54:40
Q78: 6:00:30
Q79: 6:08:10
Q80: 6:13:30
Q81: 6:37:35
Q82: 6:45:40
Q83: 6:49:25
Q84: 6:54:00
Q85: 6:57:35
Q86: 7:03:35
Q87: 7:07:35
Q88: 7:11:15
Q89: 7:17:30
Q90: 7:21:41
Q91: 7:28:56
Q92: 7:37:46
Q93: 7:55:16
Q94: 8:06:56
Q95: 8:10:26
Q96: 8:21:06
Q97: 8:22:56
Q98: 8:26:31
Q99: 8:30:21
And finally, Q100: 8:33:36
?? Q101: 8:38:25
Thank you!!!
@@blackpenredpen no problem!! Glad to help 😁
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.
why am I here? and Why am I watching it for last 7 hours?
Woo. I did all of your 101 integrals. Thank you so much❤❤❤❤❤
you know the guy is serious when you see he has like 2000 marker pen in storage in a cabinet in the back
😂😂😂 I watched for 3 hours without noticing 2000 marker pens
my guy was holding the mic for 8 hours straight with the same hand, thats even more impressive than the maths
I wish you were my mathematics teacher❤!!
The nice thing is he don't take this as challenge but teaching if he wanted he could solve in less time but he taught everything
“What terrible sin have I committed in my past life to deserve this pain? 1000s and 1000s of integrals!”
-BPRP
You and mathematics are one and the same. Thank you so much
In 3rd part we are going to do comment , in order to bring part 4 and so on, keep y=x² on your faces🙂
i am a 12th grade student of india this questions helped me a lot for more practice
Please youtube, I have a definite integral test tommorow🙏🙏
Edit: It's fully uploaded now yay, Thanks fir this christmas gift man.💙
Yeah
Integral test on boxing day? Best late christmas gift ever!
im an architect student, but always loved mathematics. and holly god nine hours straight, this guy is insane
Insane stuff.... subscribed
Thanks!
My math teacher always said: Deriving is a craft, integrating is an art
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!
Just learned integral last unit in AP Calculus so I can finally understand these videos! Yay!
3:28:28 I think it should be +sqrt(2pi)... instead of minus (small mistake)
I agree
Im spanish student, and i wish have the capacity that you have to do maths. I realy enjoy with your esplanations and keep going doing this types of video
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
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 ?
8:45:43 pure happiness
I appreciate your hard work 🤩🔥