1 integral, 100 times!

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  • Опубликовано: 6 сен 2024
  • As Bruce Lee once said, "I do not fear the man who solved 100 integrals but the man solved 1 integral 100 times". I think this is a great way for my to pay my respect to the legend.
    And a great news is that Lars is also cancer-free! I will keep you guys updated once he is completely done with his battle with cancer! Best wish to him!!
    Of course, which integral is better to do than the integral of the best friend, right?!! And the answer will shock you, 100 times!!!!
    Highlights:
    10. integral of 1/(1-x) = ln 1- x, find the mistakes, 13:33
    20. integral of 1/(ax+b), 29:38
    30. integral of 1/(1-x)^2, 45:20
    40. integral of 1/(1-x) = 1/1 - 1/x , 55:04
    with my eyes closed 1:00:25
    50. dx integral of 1/(1-x), 1:06:34
    60. integral of 1/(1-x) dy, 1:17:47
    70. integral of 1/(1-x^2), 1:31:00
    80. integral of integral of 1/(1-x) dx dx, 1:48:15
    90. improper integral of 1/(1-x) from 2 to inf, 2:03:00
    101. integral of the best friend in power series form, 2:19:07
    #1integral100times #BruceLeeSpirit #bestfriend
    Thanks for watching!
    100/(1-x)
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    Math for fun

Комментарии • 728

  • @LS-Moto
    @LS-Moto 5 лет назад +463

    I have a question. I didn't quite understand how to integrate 1/(1-x)dx :D
    As for cancer... how far cancer has been fought... I shall get some information on it next week, so stay tuned. My PET-CT-Scan has been moved to the 31st of May. I'm right now in a so called "wait and see" phase. 3 cycles of Chemo are finished, and went really well with no serious side effects, I got 2/3 of my lost weight back. Despite chemo and lost weight (9kg), I was able to keep my physical strength. Thanks to all who have and still are commenting and wishing me well. Thanks a lot for that :) ...and I believe I'm closer to finishing the battle than the beginning when I started.

    • @blackpenredpen
      @blackpenredpen  5 лет назад +38

      Л.С. Мото I see!!! Continue fighting Lars!!!

    • @sultanelshirazy8184
      @sultanelshirazy8184 5 лет назад +10

      Wish you the best bro😘😘

    • @user-cn1tp5vp4d
      @user-cn1tp5vp4d 5 лет назад +7

      Best regards from Germany! Keep on fighting!

    • @LS-Moto
      @LS-Moto 5 лет назад +2

      @@sultanelshirazy8184 Thank you .... and I will continue fighting 💪💪💪

    • @LS-Moto
      @LS-Moto 5 лет назад +1

      @@user-cn1tp5vp4d Vielen Dank Edmund. Grüße in die Heimat :)

  • @helloitsme7553
    @helloitsme7553 5 лет назад +1029

    I thought you were going to do it in 100 different ways

    • @blackpenredpen
      @blackpenredpen  5 лет назад +328

      HelloItsMe well, that’s not Bruce Lee’s spirit.
      Btw, I am not blackpainredpain.

    • @helloitsme7553
      @helloitsme7553 5 лет назад +44

      @@blackpenredpen lmao that was a joke, don't take it too seriously. I'm not trying to fight you

    • @blackpenredpen
      @blackpenredpen  5 лет назад +45

      HelloItsMe
      I know you for a while now so I will be nice with you. Btw, how old are you?

    • @kevinnathaniel9231
      @kevinnathaniel9231 5 лет назад +21

      @@blackpenredpen hello I'm in highschool as a freshman, and kinda interested in integral or calculus. I'm 15 btw

    • @helloitsme7553
      @helloitsme7553 5 лет назад +21

      @@blackpenredpen 17, living in the Netherlands, going to study maths at uni next year

  • @drpeyam
    @drpeyam 5 лет назад +77

    “I do not fear the man who likes 100 videos 1 time, but the man who likes 1 video 100 times” - Dr. Peyam

  • @jibran8410
    @jibran8410 5 лет назад +594

    "Insanity is doing the same thing over and over again and expecting different results."
    -Albert Einstein

    • @blackpenredpen
      @blackpenredpen  5 лет назад +55

      Jibran hahahah what a great quote

    • @956zombie956
      @956zombie956 5 лет назад +2

      This quote never make so sense

    • @H0tinNYC
      @H0tinNYC 5 лет назад +5

      But...he didn't expect a different result did he?!

    • @pykeugeo
      @pykeugeo 5 лет назад +1

      Which u speak.. it is Statistics :)

    • @markorezic3131
      @markorezic3131 5 лет назад +7

      Well the conclusion is Bruce Lee feared insane people

  • @ritujithmanoj2133
    @ritujithmanoj2133 5 лет назад +643

    If I were you, I would have just integrated e^x

  • @davidrg1094
    @davidrg1094 5 лет назад +204

    My favourite part is the part in which he solves the integral of (1/(1-x))

  • @blackpenredpen
    @blackpenredpen  5 лет назад +18

    Be sure to give this video a like and please watch this video a bit longer to help me gain watch time since I did spend a lot of time making this! Thank you!!!
    28x Verizon, 6 minutes: ruclips.net/video/JLZIP-_QBBg/видео.html
    Dr. P's 111 Linear Algebra True/False: ruclips.net/video/Cll03FUxjuk/видео.html
    What integral next?

  • @JustinsRealmMC
    @JustinsRealmMC 5 лет назад +75

    integrate a function recursively, 100 times. (once you finish the result, integrate that result). You’re fee to ignore +C until the 100th time

    • @photonicsauce7729
      @photonicsauce7729 4 года назад +13

      My choice for the function :
      e^x

    • @photonicsauce7729
      @photonicsauce7729 4 года назад

      @Benny-the -great nice, urs is easier than mine!
      :)

    • @nikhilnagaria2672
      @nikhilnagaria2672 3 года назад +3

      @@photonicsauce7729 it isn't int 0 dx = C, and int C dx = Cx and ...

    • @maclaren2099
      @maclaren2099 2 года назад

      @@nikhilnagaria2672 ignore +C lol

  • @blackpenredpen
    @blackpenredpen  5 лет назад +37

    Ok I did it!!! I replied to EVERYONE who commented in the first 55 minutes of upload. Thank you for your funny and lovely comments!!!

  • @awesomenessiscool
    @awesomenessiscool 5 лет назад +46

    Now I’ll never forget how to integrate (1-x)^-1 now, thanks! XD

  • @lp4969
    @lp4969 5 лет назад +147

    Ur crazy, I love u

  • @nozua
    @nozua 5 лет назад +60

    I thought you were going to integrate each result 100 times. that would be insane.

    • @blackpenredpen
      @blackpenredpen  5 лет назад +16

      nozua maybe one day.....

    • @BBorn223
      @BBorn223 5 лет назад +1

      Was expecting the same hahaha

    • @angelmendez-rivera351
      @angelmendez-rivera351 5 лет назад +2

      nozua Actually there is a very neat pattern, though

    • @Parzival659
      @Parzival659 4 года назад +1

      Same

    • @paulcleary9107
      @paulcleary9107 4 года назад +2

      It would be very tedious and prone to error, this is the result after 10 iterations, (x (2520-21420 x+80220 x^2-173250 x^3+236754 x^4-210756 x^5+120564 x^6-41481 x^7+7129 x^8)-2520 (-1+x)^9 Log[1-x])/914457600

  • @jitadipmukherjee3127
    @jitadipmukherjee3127 5 лет назад +9

    Your patience is uncomprehendable yet commendable. Hats off to you

    • @blackpenredpen
      @blackpenredpen  5 лет назад +1

      jitadip mukherjee hahaha thank you. I did have fun tho. So yea!!!!

  • @BRORIGIN
    @BRORIGIN 5 лет назад +43

    And they said Avengers Endgame would be the biggest movie of 2019

  • @jainersanchez1284
    @jainersanchez1284 5 лет назад +86

    Teacher, I didn't understand. can repeat?

  • @DiogoSantos-fv6bx
    @DiogoSantos-fv6bx 5 лет назад +81

    Not the hero we deserved, but the hero we needed, nothing less than a Math Knight

  • @zephyrusgg8680
    @zephyrusgg8680 5 лет назад +5

    Your works are greatly inspiring me . Your excitement when solving a problem is so awesome. AND thanks for the 100 integrals video, i actually practised all the questions while watching it.

  • @YommiOfficial
    @YommiOfficial 5 лет назад +60

    "What do you like to watch on youtube"
    "It's complicated"

  • @andi_tafel
    @andi_tafel 5 лет назад +82

    Could you make a video on how to integrate our best friend, please?
    I just don't understand how to do it.

    • @blackpenredpen
      @blackpenredpen  5 лет назад +8

      Andi Tafel oh... hold on.... I have to catch my breath....

    • @andi_tafel
      @andi_tafel 5 лет назад +18

      @@blackpenredpen Oh, I think I got the 60th explanation now. Thanks!

    • @blackpenredpen
      @blackpenredpen  5 лет назад +5

      Andi Tafel : )))))

  • @Anonymous-re9fd
    @Anonymous-re9fd 5 лет назад +90

    I AM SO HAPPY LARS IS OKAY.

  • @patricemudimu3745
    @patricemudimu3745 5 лет назад +10

    Good to know that Lars is getting better. Pleeeaaassseee 🙏🏾may you do a video on strong induction and combinatorics. That’s if it’s ok with you

  • @Vyantri
    @Vyantri 5 лет назад +10

    I really thought he was gonna do this integral 100 different ways. Maybe using complex numbers, the mandelbrot set, linear algebra everything!

  • @thechannelofeandmx4784
    @thechannelofeandmx4784 5 лет назад +24

    When you integrate the best....you get the absolute best!😆

    • @blackpenredpen
      @blackpenredpen  5 лет назад +2

      TheChannelOfEandM X Hahahhaha I love it!!!!!

  • @blackpenredpen
    @blackpenredpen  5 лет назад +4

    “Nacho log”

  • @rahmatabadi3839
    @rahmatabadi3839 5 лет назад +18

    Next challenge: Find the square root of 2 until 100 decimal places by hand.

    • @godson200
      @godson200 4 года назад

      Well... I remember π to 15 digits

    • @godson200
      @godson200 4 года назад

      3.1415926535285

  • @koketsomohale8596
    @koketsomohale8596 5 лет назад +7

    Fear more the man who watched the video, 100 times

  • @BRORIGIN
    @BRORIGIN 5 лет назад +37

    1:41:23 did you just cite yourself and the video you was recording at the same time as a source?

  • @weerman44
    @weerman44 5 лет назад +15

    Now integrate cube root of tan(x) 100 times

    • @blackpenredpen
      @blackpenredpen  5 лет назад +2

      weerman44
      Holy molly!!!

    • @hamiltonianpathondodecahed5236
      @hamiltonianpathondodecahed5236 5 лет назад +4

      Weerman44 you can say directly that you want to make bprp utter the integral of qbrt(tan x) even during sleeping
      During eating
      During drinking
      During marathons
      During talking with her gf
      *LOL*

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      Arnav kumar Sinha hahahaha

    • @mahadirabbi6643
      @mahadirabbi6643 5 лет назад

      lmao

  • @oscartroncoso2585
    @oscartroncoso2585 5 лет назад +2

    This has got to be one of the realist videos I have ever seen.

  • @isaacclark9825
    @isaacclark9825 5 лет назад +1

    BlackpenRedPen: You are a monster!! And I mean that in the best possible way. I tutored students preparing for AP exams, and I frequently recommend several of your videos to my students.

  • @murkcrimson6762
    @murkcrimson6762 3 года назад +2

    for number 10, there are 3 mistakes. first, there is no absolute value symbols within the argument of the natural log. second, you must divide by the derivative of the denominator, and in this case, it would be negative 1. and thirdly, you must add the constant C.

  • @BrainGainzOfficial
    @BrainGainzOfficial 5 лет назад +14

    That Bruce Lee quote! LMAO! 😂

  • @AznJsn82091
    @AznJsn82091 5 лет назад +57

    What's the integral of (1/(1-x)) dx equal to again? I missed it.

    • @blackpenredpen
      @blackpenredpen  5 лет назад +3

      Jason Lu oh man!!!!!

    • @maticpogorelec8269
      @maticpogorelec8269 5 лет назад +1

      I think it's x.

    • @phillippeforster241
      @phillippeforster241 5 лет назад +1

      @@maticpogorelec8269 nah dude it's -x cuz you have to find the derivative of the denominator

    • @angelmendez-rivera351
      @angelmendez-rivera351 5 лет назад

      Phillippe Forster No it's ln(1-x) :)

    • @AznJsn82091
      @AznJsn82091 5 лет назад

      @@phillippeforster241 Wouldn't it be -1, if you're taking the derivative of the denominator?

  • @martinda7446
    @martinda7446 2 года назад

    This fella just presses all the right buttons in my brain - and on my fx-81. I love him. Late to the party but happy to be here.

  • @MrHK1636
    @MrHK1636 5 лет назад +1

    Hello, I have been your subscriber like three years and you have gave me so much confident etc. I have subscribed almost all good math youtubers in my opinion. But now I don't understand why you, peyem and flammable maths have some kind of fight. You are guys så awesome!! Sp stop this fight or talk at least something about it. I know that flammable maths can be little bit strange his own way but talk about this situation. I love you all helping and giving me things to concentrate on. I have rheumatoid arthritis and math has been helping me through all this. ❤️😥

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      Hi there! Thank you for supporting my channel for such a long time. Thank you.

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      And may I ask what exactly did I do to him?

    • @MrHK1636
      @MrHK1636 5 лет назад +1

      @@blackpenredpen I don't know, according to Flammable maths you didn't answer his messages or something like that. It is possible that he have understood something wrong.

  • @markusbao4106
    @markusbao4106 5 лет назад +2

    Bruce lee: i fear not the man who has practiced 10,000 kicks once, but i fear the man who has practiced one kick 10,000 times.

  • @codyriceandothers
    @codyriceandothers 5 лет назад +28

    *Mr. Beast wants to know your location*

  • @williamadams137
    @williamadams137 5 лет назад +2

    I’m very happy that you used the spirit of Bruce Lee to solve an integral 100 times, keep up your good work man!

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      William Adams thank you!!! This is the support that I need!

  • @weirdoandy
    @weirdoandy 5 лет назад +7

    Bprp: "Your best friend will never leave you."
    Me: awwwwww

  • @gamingwithpratham2607
    @gamingwithpratham2607 5 лет назад +11

    i am going to start the vid on my phone then sleep to increase the watch time,but remember keep the phone away from you

  • @awawpogi3036
    @awawpogi3036 5 лет назад

    Lol, I literally watched the whole video and it's so satisfying to watch the 100th time you solved the integral, as always, you and your video are very great! Been here since 179k subs!

  • @notspaso6644
    @notspaso6644 5 лет назад +2

    You are absolutely out of your mind, I love it C:

  • @kylereddy9910
    @kylereddy9910 5 лет назад +1

    you and 3blue1brown are the reason i am a math major. love your videos

  • @rabbi_mike
    @rabbi_mike 5 лет назад +2

    4:15 I love how you already seem to regret doing this after the first integral LMAO
    absolute madlad

  • @Hexa1123
    @Hexa1123 4 года назад

    I can't believe I missed this the first time around. Best youtuber ever!!!! 🥰 Thank you for the content

  • @RazanAr51
    @RazanAr51 5 лет назад +2

    Thanks for teaching how to solve an integral 100 times to a middle schooler

  • @nashkii227
    @nashkii227 5 лет назад +6

    Oh my god. This is crazy. You are rapping. You are best friend ;)

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      dr. Kagura Alphys hahahahahaha love this comment!!!!

  • @andreapaps
    @andreapaps 3 года назад

    As someone living in Kowloon Bruce Lees hometown... It makes me happy to see him get mentioned in a maths video :D

  • @srujaniam9762
    @srujaniam9762 5 лет назад +1

    Sir you truly are an integration specialist and good to know that Lars is almost cancer free

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      kvk srujan thank you!!!!!

    • @LS-Moto
      @LS-Moto 5 лет назад

      ... next week we'll know :) Thank you

  • @dhananjai7559
    @dhananjai7559 5 лет назад +9

    U should go for the guinness book of world records for this

  • @toolhog10
    @toolhog10 5 лет назад +2

    Beautiful. This deserves to be playing on loop in a museum somewhere.

  • @markorezic3131
    @markorezic3131 5 лет назад +3

    I fear no man, but that _thing_ , it scares me
    -Bruce Lee after watching the video

  • @flowerwithamachinegun2692
    @flowerwithamachinegun2692 5 лет назад +1

    I do not fear the man that solved 100 integrals and neither the one that solved just one. But the man that watched another man solve both 100 integrals and one integral 100 times... He's the one I'm afraid of.

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      HAHAHAHAHAHAH OMG THIS MAKES LAUGH SO MUCH!!!

  • @vemurivamshi4023
    @vemurivamshi4023 5 лет назад +4

    It must be Steve's quote.....you are crazy man....u are amazing

    • @blackpenredpen
      @blackpenredpen  5 лет назад +1

      Vemuri Vamshi it’s actually from a subscriber. Check this ruclips.net/video/JLZIP-_QBBg/видео.html

  • @angelmendez-rivera351
    @angelmendez-rivera351 5 лет назад +1

    After watching this, I think I finally understand how to integrate the best friend. But man, it was tough! I'm not sure if I'll be able to pull it off now that's my turn...

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      I trust you, Angel. If you have doubt, then practice this 1000 times. Bruce lee will be proud

  • @ansper1905
    @ansper1905 5 лет назад +1

    14:31
    1) you can't just say right away that 1/f(x)=ln|f(x)| unless you show that f'(x)=1 by the u sub for example
    2) ln 1 - x can be interpreted as ln(1)-x which is equal to -x and this is so much different than ln|1-x|
    3) even if we interprete ln 1-x as ln(1-x) it's still different from ln|1-x| because 1-x can be negative from
    4)they forgot the minus and the +C

  • @ayushi9797
    @ayushi9797 5 лет назад +1

    You, sir, are an Integral hero. Protect him at all costs.

  • @MAKMED1337
    @MAKMED1337 5 лет назад +3

    1:41:58 integral(best_friend dx) != integral(1/(1-x) dx)

  • @thomasboudier1152
    @thomasboudier1152 5 лет назад +1

    Why do you call it Best Friend?
    Btw best math vid about math on youtube at the moment. I wonder how anyone could beat that

  • @4bbiss
    @4bbiss 5 лет назад +1

    I never in my entire life thought that I would watch a man solve an integral 100 times. This man is the avatar.
    On a side note, GO LARS!!!!!! Keep fighting!

    • @blackpenredpen
      @blackpenredpen  5 лет назад +1

      Hahahahaha thank you!!!

    • @LS-Moto
      @LS-Moto 5 лет назад +1

      Thanks buddy... Next week we'll know the results of the fight... perhaps its already won... but whatever in may be... it certainly didn't get worse :)

  • @ZoroarkLover98
    @ZoroarkLover98 5 лет назад +5

    In the ln 1 - x there are three mistakes.
    They forgot to divide by -1
    They forgot the absolute value inside the ln
    They forgot the +c
    Right?

  • @yungy1209
    @yungy1209 5 лет назад +7

    For number 80, did you not forget to integrate c as well? You differentiated -ln(1-x) using DI method but didn't add cx?

  • @LoneXRangerz
    @LoneXRangerz 5 лет назад

    Integrating best friend with eyes closed.
    1:01:29 "As you can see" -bprp

  • @zgamer_5632
    @zgamer_5632 3 года назад

    "How can I ditch my best friend!
    So, today we'll be Interrogating the best friend."

  • @1fgchamp
    @1fgchamp 5 лет назад +2

    1:15 I tried integrating my best friend 100 times... He didn’t take it too kindly

  • @technodrome
    @technodrome 5 лет назад +1

    Takeaway lesson for me was that redpenbluepen is the only man that Bruce Lee fears.

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      Last Slice of Pizza yes. That’s the spider man pen

    • @technodrome
      @technodrome 5 лет назад +1

      @@blackpenredpen Glad you got the joke. 😀

  • @skallos_
    @skallos_ 5 лет назад +1

    "Insanity Is Doing the Same Thing Over and Over Again and Expecting Different Results" Jokes aside, that is some serious dedication! I don't think I could last doing the same integral even five times in a row!

  • @jaspergodfreyzann5421
    @jaspergodfreyzann5421 5 лет назад +2

    I feel so happy for Lars, hope he'll be alright rather soon than later! 🙏🏻🙏🏻🙏🏻

    • @LS-Moto
      @LS-Moto 5 лет назад +2

      Thank you... :) ... next week we will somewhat know, but its looking good

    • @blackpenredpen
      @blackpenredpen  5 лет назад +1

      Thank you!!!!

  • @Josh-kw7zk
    @Josh-kw7zk 2 года назад

    "The definition of insanity is doing the same thing over and over again and expecting a different result."

  • @sherllymentalism4756
    @sherllymentalism4756 5 лет назад +1

    You motivated me to redo my mathematics education and I'm so happy.
    I love it. I love you. 💕
    My job is psychic entertainer but I will try for a maths degree soon
    I'm very excited for my future

    • @blackpenredpen
      @blackpenredpen  5 лет назад +1

      Thank you!! Wow, that sounds great! Best wishes to you!!

  • @joeeeee256
    @joeeeee256 5 лет назад +1

    Wow-wee! Awesome work my guy :D

  • @emree5962
    @emree5962 5 лет назад +1

    this was like bart Simpson in detention writing on the chalkboard

  • @dexthrw
    @dexthrw 5 лет назад +2

    i got to number 7 before actually noticing wtf was going on

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      HeyItsDex! Well, it was just me practicing integral of the best friend.

  • @tarunpurohit6522
    @tarunpurohit6522 5 лет назад +4

    Bro don't mind but why are u doing same integral over and over again I love the way you tackle tough problems and new ideas I love to see you doing that

    • @blackpenredpen
      @blackpenredpen  5 лет назад +1

      tarun purohit Bruce lee spirit, as mentioned in the beginning

  • @Kumar-oe9jm
    @Kumar-oe9jm 5 лет назад +6

    Oh I thought u were gg to integrate it 100 times as in doing the double integral of the best friend and then the triple integral and so on and so forth until there are 100 integral signs in front of the best friend

  • @ComplicatedButSimplified
    @ComplicatedButSimplified 5 лет назад +1

    What are u doing man!!! Seriously crazy but sometimes crazy is good

  • @ansper1905
    @ansper1905 5 лет назад +14

    i thought u would integrate the result of the integral of our best friend :(

    • @blackpenredpen
      @blackpenredpen  5 лет назад +1

      [NI] ImTheOne I did that. See description. I did the integral of the integral

    • @ansper1905
      @ansper1905 5 лет назад +3

      @@blackpenredpen oh true i didnt see that
      sorry my bad

  • @swankitydankity297
    @swankitydankity297 5 лет назад +8

    Can you please do a video on how to integrate 1/(1-x) dx

  • @ligda_rudna_8133
    @ligda_rudna_8133 5 лет назад +3

    My favorite part is when he integrate best friend

  • @ragnarlothbrok4090
    @ragnarlothbrok4090 3 года назад

    YOUR VIDS ARE TOO GOOD, OMG IDK WHAT ID DO WITHOUT THEM

  • @antoniomodugno2753
    @antoniomodugno2753 5 лет назад +1

    U can also say that 1/(1-x)=Π of n from 0 to inf of e^(1/(n+1) * x^(n+1))

  • @MoonLight-sw6pc
    @MoonLight-sw6pc 5 лет назад +2

    The integral notation at integral number 39 is cool

  • @dolevgo8535
    @dolevgo8535 5 лет назад +16

    1:12:54 Man, wish my teacher taught me the LuChen

  • @wowxd3810
    @wowxd3810 5 лет назад +1

    That's insane!😂Good job!😉

  • @nagykalman5118
    @nagykalman5118 5 лет назад +1

    You really are the mathematician version of Bruce Lee.

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      Nagy Kálmán hahaha what a compliment! Thank you!!

  • @marcelweber7813
    @marcelweber7813 5 лет назад

    And as wise Gandalf once said: Thou shall write down every number from 1 to 10,000.

  • @Shiraori999
    @Shiraori999 5 лет назад +1

    Nice, I loved the part where 1/(1-x) was integrated.

  • @mattae2037
    @mattae2037 5 лет назад

    Quote of the day "If you can integrate your best friend, then you can genrate natural log function" -blackpenredpen

  • @Rob1971ist
    @Rob1971ist 5 лет назад

    I do not think Bruce would have been impressed with 100 repetitions. Ten thousand, on the other hand...

  • @2oonzdee
    @2oonzdee 4 года назад

    Amazing work man!!! Keep it up!!!! I love ur channel💜💜.
    Btw if I did like you and someone asks me what's your name, I would say "one over one minus x"😂😂

  • @stuartyeo5354
    @stuartyeo5354 5 лет назад +1

    HUGE SPOILERS!!!
    Integral of 1/(1-x) is ln|1/(1-x)|+C

  • @flanbenflen9069
    @flanbenflen9069 5 лет назад +1

    So you read that guys comment and did.
    Goddamn hero.
    Fucking legend.

  • @NickKravitz
    @NickKravitz 5 лет назад +1

    It would be more interesting to set up 100 identical physics experiments. That way you would get 100 different experimental results, and do some math to calculate result confidence intervals.What I really want to know is what is the integral of ln(Best Friend)?

    • @blackpenredpen
      @blackpenredpen  5 лет назад

      Nick Kravitz I actually did that in the video!! See description for the time stamp

  • @Fru1tyy
    @Fru1tyy 5 лет назад +1

    Impressive, he got the same answer a 100 times.

  • @mrbenwong86
    @mrbenwong86 5 лет назад

    Instead of 100 lines of “I will not talk in class”, you probably tell your boys to solve a integral 100 times.

  • @riyaanbakhda8320
    @riyaanbakhda8320 5 лет назад +3

    Get well soon Lars ♥️

    • @saatvikkher
      @saatvikkher 5 лет назад +1

      ❤️❤️

    • @LS-Moto
      @LS-Moto 5 лет назад +1

      Thank you Riyaan :) ... next weeks, we'll get a first glims at the results

  • @kamellaandbowserJr
    @kamellaandbowserJr 5 лет назад +1

    i liked the part where he solved the integral 1/(1-x)dx

  • @apotato4873
    @apotato4873 2 года назад

    At first I thought you would integrate the function, and then integrate the result, and then integrate that result and so on 100 times.

  • @joluju2375
    @joluju2375 5 лет назад

    Your face between 4:20 and 4:25 clearly tells me I have to watch the entire video. Arrgh, this is cruel !

  • @jainersanchez1284
    @jainersanchez1284 5 лет назад +2

    1:30:24 you changed the recipe, linguini xd