1 integral, 100 times!

[@LS-Moto]

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]

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

[@sultanelshirazy8184]

Wish you the best bro😘😘

[@エディー-h1k]

Best regards from Germany! Keep on fighting!

[@LS-Moto]

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

[@LS-Moto]

@@エディー-h1k Vielen Dank Edmund. Grüße in die Heimat :)

[@helloitsme7553]

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

[@blackpenredpen]

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

[@helloitsme7553]

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

[@blackpenredpen]

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

[@kevinnathaniel9231]

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

[@helloitsme7553]

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

[@ritujithmanoj2133]

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

[@flutterwondershyyay8255]

Or just x|->0

[@weirdude4260]

Yes

[@weirdude4260]

Hahahaha

[@TechToppers]

I would integrate 1.

[@alaap9396]

It is more difficult than you can imagine Check out how the derivative of e^x came about!!

[@jibran8410]

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

[@blackpenredpen]

Jibran hahahah what a great quote

[@956zombie956]

This quote never make so sense

[@H0tinNYC]

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

[@pykeugeo]

Which u speak.. it is Statistics :)

[@markorezic3131]

Well the conclusion is Bruce Lee feared insane people

[@drpeyam]

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

[@blackpenredpen]

Dr Peyam hahahahaha

[@bhabanidas1459]

But for that u need to dislike 99 times .

[@blackpenredpen]

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!!!

[@blackpenredpen]

I will continue to reply when I have time. Thanks

[@architmahatorollno.332]

Hi

[@davidrg1094]

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

[@blackpenredpen]

David Rodríguez Grande nice!!! I like it too

[@tehguitarque]

time?

[@blackpenredpen]

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: kzbin.info/www/bejne/gH29eoNjlLZ1eMk Dr. P's 111 Linear Algebra True/False: kzbin.info/www/bejne/eZ3PYWZ8it2dq80 What integral next?

[@isabahk1132]

make it easy 😂

[@kushankhalain9033]

∫x^(dx)

[@user-nb6zu3rk4f]

@@kushankhalain9033 !??????????

[@user-nb6zu3rk4f]

x in power of dx??

[@kushankhalain9033]

@@user-nb6zu3rk4f right man "x to the power dx"

[@JustinsRealmMC]

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]

My choice for the function : e^x

[@photonicsauce7729]

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

[@nikhilnagaria2672]

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

[@maclaren2099]

@@nikhilnagaria2672 ignore +C lol

[@DiogoSantos-fv6bx]

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

[@blackpenredpen]

Diogo Santos hahahahaha thank you!!!

[@YommiOfficial]

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

[@blackpenredpen]

James Corey hahahaha

[@zephyrusgg8680]

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.

[@blackpenredpen]

Sachin Kumar thank you!!!!

[@awesomenessiscool]

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

[@blackpenredpen]

Awesomeness Is Awesome 😎 : )))))

[@jitadipmukherjee3127]

Your patience is uncomprehendable yet commendable. Hats off to you

[@blackpenredpen]

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

[@lp4969]

Ur crazy, I love u

[@blackpenredpen]

日西ディエゴ thank you!!!

[@fozymilograno]

Really crazy lol! But fun!

[@vivekmathur3514]

69 likes to op

[@jainersanchez1284]

Teacher, I didn't understand. can repeat?

[@blackpenredpen]

oh.....

[@nozua]

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

[@blackpenredpen]

nozua maybe one day.....

[@BBorn223]

Was expecting the same hahaha

[@angelmendez-rivera351]

nozua Actually there is a very neat pattern, though

[@Parzival659]

Same

[@paulcleary9107]

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

[@BRORIGIN]

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

[@blackpenredpen]

Hahaha : ))))

[@martinr3167]

*2019

[@BRORIGIN]

@@martinr3167 oops yeah haha

[@Anonymous-re9fd]

I AM SO HAPPY LARS IS OKAY.

[@blackpenredpen]

Andrei White I am too!!!!!

[@LS-Moto]

Not only ok... I'm doing great :)

[@larsy567M]

ME TOO

[@andi_tafel]

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

[@blackpenredpen]

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

[@andi_tafel]

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

[@blackpenredpen]

Andi Tafel : )))))

[@Vyantri]

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

[@thechannelofeandmx4784]

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

[@blackpenredpen]

TheChannelOfEandM X Hahahhaha I love it!!!!!

[@patricemudimu3745]

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

[@blackpenredpen]

Thanks! I can try!!!

[@patricemudimu3745]

blackpenredpen thank you 😊

[@LS-Moto]

:)

[@martinda7446]

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.

[@rahmatabadi3839]

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

[@godson200]

Well... I remember π to 15 digits

[@godson200]

3.1415926535285

[@Hexa1123]

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

[@toolhog10]

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

[@blackpenredpen]

toolhog10 lolll thank you!!!

[@awawpogi3036]

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!

[@williamadams137]

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]

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

[@BRORIGIN]

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

[@blackpenredpen]

Bror lolllll hahahah

[@ahmedsalim3453]

😂😂😂😂

[@weirdoandy]

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

[@blackpenredpen]

WeirdoAndy : )))))

[@blackpenredpen]

“Nacho log”

[@weerman44]

Now integrate cube root of tan(x) 100 times

[@blackpenredpen]

weerman44 Holy molly!!!

[@hamiltonianpathondodecahed5236]

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]

Arnav kumar Sinha hahahaha

[@mahadirabbi6643]

lmao

[@MrHK1636]

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]

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

[@blackpenredpen]

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

[@MrHK1636]

@@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.

[@AznJsn82091]

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

[@blackpenredpen]

Jason Lu oh man!!!!!

[@maticpogorelec8269]

I think it's x.

[@phillippeforster241]

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

[@angelmendez-rivera351]

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

[@AznJsn82091]

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

[@koketsomohale8596]

Fear more the man who watched the video, 100 times

[@notspaso6644]

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

[@blackpenredpen]

SpikePowerHD hahahaha thanks!!

[@kylereddy9910]

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

[@blackpenredpen]

l30 thank you!!!!

[@jaspergodfreyzann5421]

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

[@LS-Moto]

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

[@blackpenredpen]

Thank you!!!!

[@isaacclark9825]

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.

[@blackpenredpen]

Thank you Isaac!!!

[@oscartroncoso2585]

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

[@blackpenredpen]

Hahahahah!

[@ragnarlothbrok4090]

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

[@ayushi9797]

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

[@BrainGainzOfficial]

That Bruce Lee quote! LMAO! 😂

[@blackpenredpen]

Brain Gainz hahahahaha!!!!

[@dolevgo8535]

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

[@blackpenredpen]

end my misery loll

[@MAKMED1337]

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

[@rabbi_mike]

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

[@blackpenredpen]

Rain22 lollll

[@vemurivamshi4023]

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

[@blackpenredpen]

Vemuri Vamshi it’s actually from a subscriber. Check this kzbin.info/www/bejne/gH29eoNjlLZ1eMk

[@nashkii227]

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

[@blackpenredpen]

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

[@markorezic3131]

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

[@srujaniam9762]

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

[@blackpenredpen]

kvk srujan thank you!!!!!

[@LS-Moto]

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

[@GeometryDashPowerbomb]

absolute mad lad. (loved that bonus resolution though)

[@antoniomodugno2753]

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

[@gamingwithpratham2607]

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

[@blackpenredpen]

Gaming With Pratham awww thank you!!!!!

[@isabahk1132]

YOU’RE BEST 👌👍 another amazing video

[@sherllymentalism4756]

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]

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

[@andreapaps]

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

[@RazanAr51]

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

[@codyriceandothers]

*Mr. Beast wants to know your location*

[@markusbao4106]

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.

[@blackpenredpen]

Lost Marblez yup!

[@murkcrimson6762]

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.

[@dhananjai7559]

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

[@blackpenredpen]

dhananjai singh hahahha thank you!!!!

[@swankitydankity297]

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

[@wowxd3810]

That's insane!😂Good job!😉

[@MoonLight-sw6pc]

The integral notation at integral number 39 is cool

[@skallos_]

"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!

[@blackpenredpen]

Hahaha thanks you!!

[@joeeeee256]

Wow-wee! Awesome work my guy :D

[@blackpenredpen]

Joecake Gamedev thanks!!

[@angelmendez-rivera351]

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]

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

[@4bbiss]

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]

Hahahahaha thank you!!!

[@LS-Moto]

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 :)

[@ansper1905]

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

[@ComplicatedButSimplified]

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

[@blackpenredpen]

Sweety XS hahahah thanks!!

[@nagykalman5118]

You really are the mathematician version of Bruce Lee.

[@blackpenredpen]

Nagy Kálmán hahaha what a compliment! Thank you!!

[@ReidCaptain]

ok, this is epic

[@blackpenredpen]

Reid Captain hahaha thank you!!!

[@Shiraori999]

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

[@zgamer_5632]

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

[@darkzsoap2540]

I love u crack ❤️

[@blackpenredpen]

math, not crack

[@flanbenflen9069]

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

[@blackpenredpen]

Hahahahaha thanks!

[@Winniex78]

Excellent work👌❤️

[@emree5962]

this was like bart Simpson in detention writing on the chalkboard

[@Schambes]

lmao I saw that thumbnail and thought how the hell will he integrate it 100 different ways... Well, now I know xD

[@vasukapoor5734]

Loving it

[@flowerwithamachinegun2692]

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]

HAHAHAHAHAHAH OMG THIS MAKES LAUGH SO MUCH!!!

[@ligda_rudna_8133]

My favorite part is when he integrate best friend

[@blackpenredpen]

Breeze -MK- nice!!!!

[@riyaanbakhda8320]

Get well soon Lars ♥️

[@saatvikkher]

❤️❤️

[@LS-Moto]

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

[@-a5624]

I'm never going to forget this integral now :)

[@blackpenredpen]

That’s the goal. : )

[@chrischacon7814]

I am going to use this for my CSET 3 constructed response

[@Pete-Prolly]

Half way through, I started to feel like Bill Murray in "Groundhog Day." LOL (Also, I watched like every Bruce Lee movie as a kid!!)

[@blackpenredpen]

Logic Λόγος me too!!!!

[@mattae2037]

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

[@1fgchamp]

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

[@yungy1209]

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?

[@weirdoandy]

I love the idea of #giftaway rather than a give away

[@blackpenredpen]

WeirdoAndy thank you!!!!

[@Uphier]

But wait! There's MOAR!!! :D

[@thomasboudier1152]

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

[@blackpenredpen]

I explained that in the video....

[@ZoroarkLover98]

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?

[@XzLibertyzX]

Exactly

[@Josh-kw7zk]

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

[@JavierGuajara]

Awesome!!

[@osuNoobCast]

Now you can wake me up in the middle od the night and i will tell you that the integral of my best friend is a natural log of best friend plus C

[@tarunpurohit6522]

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]

tarun purohit Bruce lee spirit, as mentioned in the beginning

[@LoneXRangerz]

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

[@dexthrw]

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

[@blackpenredpen]

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