Do you like my videos edited or unedited?

@jamesh7505

2 жыл бұрын

unedited

@28sarthakdwivedi44

2 жыл бұрын

Sir do you conduct zoom meetings also.. please share to me also 😞😞😢😋😋

@decCoulissante

2 жыл бұрын

Un

@mohamedibrahim1023

2 жыл бұрын

Unedited

@ArdenChew271

2 жыл бұрын

Unedited but u should speed up erasing and writing way too long things

You know things go serious if you see bprp using 5 colors on a question

@Claymore_II

2 жыл бұрын

Now he’s BPRPBPRPPP

@rayane--21pilots8

2 жыл бұрын

@@Claymore_II i had a stroke guessing it xD

@ananas-nevermind

2 жыл бұрын

1. that was actually funny 2. you somehow have about twice as many likes as THE PINNED COMMENT BPRP MADE HOW

@Luka_D_Snots

2 жыл бұрын

@@ananas-nevermind As you can see, many other comments are hearted by bprp. I exchanged the heart for 500 likes. jk lol 😂

@patolol3091

2 жыл бұрын

@@Claymore_II bprpbpppgp bp¹=black pen rp=red pen bp²=blue pen pp=purple pen gp=green pen

Imagine this question being on your final exam. You go through all of these steps and calculations just to forget the +C at the end which single-handedly causes you to fail the exam.

@ranjitsarkar3126

2 жыл бұрын

Bruh you forgor the dx

@aadilashraf1597

2 жыл бұрын

Bro if I am forgetting only the c part in this question...... Then I am sure.... I will be able to solve other questions easily 🤣🤣🤣🤣

@marvin5729

2 жыл бұрын

It's called stuying ET (Elektrotechnic) and IT (Informationtechnic)...

@user-yr3uj6go8i

2 жыл бұрын

Then you have a garbage math teacher/professor if your only mistake of forgetting the +C at the end causes you to fail the entire exam.

@memebaltan

Жыл бұрын

@@user-yr3uj6go8i all or nothing

Oh yeah it's just the inverse hyperbolic cotangent of x over the fourth root of 6, I could have guessed that

@gusjak3454

2 жыл бұрын

For sure🤣🤣❤️

@temujinartem2375

2 жыл бұрын

It’s crazy the shit they make you remember in calc but then in any science they give formula sheets longer than the test

@MusicalInquisit

2 жыл бұрын

You forgot the plus c

13:19 LMFAO I FELT THAT “why am I doing this” 💀

@jonahrankin6978

2 жыл бұрын

yeah it sounds so genuine lol

Fermat : "I have discovered a truly marvelous proof of this, which this board is too narrow to contain." blackpenredpen : "hold my beer"

He’s always energetic and I love it.

@morsxsx

2 жыл бұрын

you can see the passion through his eyes

You know it's gonna be hard when he doesn't recommend calc teachers to use this in a test at the start of the video

@blackpenredpen

2 жыл бұрын

lol

@TheRealUSArmy

2 жыл бұрын

@blackpenredpen ngl I'd pass out if I saw that question 😳😳

@kingshiva5427

2 жыл бұрын

@@blackpenredpen Challenge in Maths 🏆🏆🔥🔥 kzread.info/dash/bejne/iKOOvMetc5itlrg.html

This is completely off topic, but I think I came up with an interesting problem. Given the recursive functions: f(n) = af(n-1) + bg(n-1) g(n) = ag(n-1) + bf(n-1) Where a=0.5 and a+b=φ Show that both f and g are fibbonacci sequences. I'll put my solution at the end. Stumbled upon this fact while trying to solve for g for any a or b... idk how others may attempt to solve it but I wrote them as a discrete time convolution. I got this equation for g(n): g(n) = (b^2-a^2)g(n-2)+2ag(n-1) Was trying to solve for f or g to write sin(nt) in terms of sin(t) and cos(t)... but accidentally made a mistake, one of the equations were supposed to add and the other was supposed to subtract the b term.... was doing this in the first place because, I was hoping the equation for sin(nt) would help solve the integral for (sin(Nt)cot(t/2)+cos(Nt))cos(nt) where N and n are two non-negative integers. Which I plugged into a couple integral calculators... and it didn't give me a solution. When you evaluate that integral in respect to t from -π to π, and divide by 2π, its supposed to be an inverse discrete-time fourier transform that should equal 1 for all |n|

@kingshiva5427

2 жыл бұрын

Challenge in Maths 🏆🏆🔥🔥 kzread.info/dash/bejne/iKOOvMetc5itlrg.html

@dizzyd7315

2 жыл бұрын

All that effort for 12 likes lol

@franceskotambonop5687

2 жыл бұрын

@@dizzyd7315 lol

@vaibhavsrivastva1253

Жыл бұрын

@@dizzyd7315 Other people are illiterate.

"blackpenredpen"->"blackpenredpenbluepenpurplepengreenpen" Peak character development ladies and gentlemen

@trusiant1729

2 жыл бұрын

then comes penbrow

I’m a sophomore in high school and have no idea what he’s doing but I still watch a bunch of his videos because they are interesting and relaxing. Keep up the good work👍

@1upGAMeR200

2 жыл бұрын

Same, I really enjoy these kind of videos :D

@aidendoty7711

9 ай бұрын

i was in your position a couple years ago. i’m now in calc 2, watched this whole video and actually understood all of it, and i’m very proud of myself. keep studying and you’ll get there💪

Wait. Where's the dx? That's -100 score for you.

@xinpingdonohoe3978

2 жыл бұрын

My first thought also.

@leoofficial527

2 жыл бұрын

@@xinpingdonohoe3978 same

5 minutes for the limit, differentiation and series; and 13 minutes for integration... Well...

@comma_thingy

2 жыл бұрын

more like 5 minutes to do partial fractions and 3 minutes to do the integral

Ah yes, blackpenredpenbluepengreenpenpurplepen

Limits, derivatives and integration in one question. It should be called fundamental question of the calculus...Complete package.. Amazing

@EyeSooGuy

9 ай бұрын

Don’t forget the sigma!

I like these mega problems! They're great review.

@blackpenredpen

2 жыл бұрын

Glad to hear : )

A young man as cool as a Shaolin monk with a Kung Fu Master beard and has a Pokemon ball in his hand explaining math problems... This combination made my yung hollow mind literally explode.

I've always wanted to be a teacher, but after watching you, it made me feel so dumb that I'm no longer sure I'm capable of it. I hope I can be as intelligent as you are one day.

@gusjak3454

2 жыл бұрын

Just keep practicing man. Everything comes on point to the ones who really know what they want. Just giving you some strength ❤️!

@jovianarsenic6893

2 жыл бұрын

Remember that he’s been teaching for about a decade at a massive institution

Heyy I solved this on my own before I went further into the video. I'm proud of myself 😍

Watching your videos, I actually started loving math !

It makes me so happy to see someone this exited about maths! Keep up the entertaining content😁👍🏼!

Idk if it’s easier but I factored out the 1/6 on the top and bottom from the beginning to lessen the burden of roots to get 1/((x^4/6)-1).

Great content man. As always

Love your content helps with my love of mathematics, regards

Your videos are everything

Thank you I have tears of joy now

its amazing sir.. your videos always enlighten me.....

I love this!

It is necessary to replace the variable in time to avoid radicals. ∫6dx/(x^4-6)=6^(1/4)∫ dt/(t^4-1). t=x/6^(1/4). Here the fraction under the integral sign is so simple that it can be decomposed into elementary fractions without the method of indefinite coefficients. 1/(t^4-1)=(1/2) *{1/(t^2-1)-1/(t^2+1)}=(1/2)*{(1/2)[1/(t-1)-1/(t+1)]-1/(t^2+1)}= = (1/4)*1/(t-1)- (1/4)*1/(t+1)- (1/2)*1/(t^2+1)

@Vladimir_Pavlov

2 жыл бұрын

6^(1/4)* ∫ [(1/4)*1/(t-1)- (1/4)*1/(t+1)- (1/2)*1/(t^2+1)]dx= = 6^(1/4)* {(1/4)*ln|t-1|-(1/4)*ln|t+1|-(1/2)* atan(t)} +C= =(6^(1/4)/4)* ln|(t-1)/(t+1)|-(6^(1/4)/2)*atan (t) +C = =(a/4)* ln|(x-a)/(x+a)|-(a/2)*atan (x/a) +C . a= 6^(1/4).

here is a challenge: find f(x) such that f'(x) = f(x+1) oh and i forgot something: there is a x such that f(x) = 1 (just multiply the solution by some number to get f(x) = 1 if you don't have it already). This is just to exclude f(x) = 0

This made me realize how much I've forgotten about partial fraction decomposition 🥲 time for a study montage

@kruksog

2 жыл бұрын

I got all the way to the integral on my own and said "I do math for fun, but I draw the line at PFD."

@stumbling

2 жыл бұрын

STUDYING HARD NOW, HE'S GOTTA RECLAIM ALL OF THE MATH THAT ESCAPED FROM HIS BRAIN INTEGRALS, DERIVATIVES AND PARTIAL FRACTIONS HE'S MASTERED THEM ALL NOW HE'S READY FOR ACTIONNNN MATH-E-MATIC! AUT-O-MATIC! FEELS LIKE MAGIC WHEN YOU DERIVE JUST TO STAY ALIVEEEEE! MATH-E-MATIC! AUT-O-MATIC! MATH-E-MATIC! AUT-O-MATIC! *music fades out as you ride off on a motorcycle*

More all one calculus questions thanks)

Brilliant!!

Partial fractions could be used in a different way by adding and subtracting x^2 (x squared) and 6^(1/2) (square root of 6)

just learned what's the derivative of coth^-1. Great video !

Just took my Calculus CLEP exam and got the score I needed; 64 ain't great, but i get my credit so it's cool. I've never been confident in Math, and quite frankly I went into the exam expecting to fail- I'm quite happy that wasn't the case. Im very grateful for all the videos you make, and passing this exam was definitely thanks to you lol. Keep it up!

@matthewcaimbeul8722

2 жыл бұрын

Never heard of it until looking it up. Seems very silly they wouldn’t just give you the AP Exam.

Can you please make a video that introduces hyperbolic functions and some sample problems with them? I’ve never known anything about them and would love to learn more about them!

@blackpenredpen

2 жыл бұрын

An old video here kzread.info/dash/bejne/k3dpxbucZ7vOedY.html

@alberteinstein3612

2 жыл бұрын

@@blackpenredpen thanks!!!

@aubertducharmont

8 ай бұрын

Wait until you hear about elliptic functions.

You are a madman!

i never thought i would be so satisfied by an math equation :D

@blackpenredpen

2 жыл бұрын

I am glad to hear that : )

You are amazing good job💪

An absolute monster

This is beautiful Definitely a surprise to be sure, but a welcome one to wake up to

The students: "don't worry he said he would put only one ex. on the exam" The exercise: are you sure about that 😂😂🤣🤣

@blackpenredpen

2 жыл бұрын

Hahaha!

Your awsome Professor)

bro hes getting serious with these problems. I love your videos BPRP. Keep up these amazing videos. Im a high school student in AP Calculus AB. You help me alot with studying! Thanks man!

@blackpenredpen

2 жыл бұрын

Glad to hear it, thank you : )

@WinterSoldier42

2 жыл бұрын

@@blackpenredpen yessirrrr

Excelente !!. Y su libro muy bueno ..

This looks ultimate

There's no dx at the end of the integral at the top :( xD

@victorgalvez2547

2 жыл бұрын

You're right.

@Hyperdrive

2 жыл бұрын

It is incomplete

I’m 41 and just learning calculus. I just sat there with wide eyes and all shocked at how much work it’s needed. Damn. I think my brain almost literally exploded. Lol.

This guy is gonna change my career!

At first, this question seemed pretty daunting but when I started solving I thought this question was really simple. I solved inside equations pretty quickly but when I got to the integration I was like "bruh f*ck this shit". In my opinion, the integration isn't difficult, it's just very lengthy.

The partial fraction decomposition can be done without a system of equations if you consider that 1 = 1/(2*sqrt(6))*[(x^2+sqrt(6))-(x^2-sqrt(6))]. This improved memory efficiency allowed me do the problem in my head reasonably fast. Also, BPRP was running out of room and the video was already long so he used hyperbolic trig functions. But you can decompose 1/(x^2-sqrt(6)) with the same trick or Heaviside cover up.

@ernestschoenmakers8181

Жыл бұрын

My thoughts exactly.

This is highly epic

I just realized how much more I have to learn

I love how you look at it so proudly when you're done, like it's your child. 😂

@blackpenredpen

2 жыл бұрын

😆

I lost it at the integration part Until then i was really happy that things were going smooth

These are the kinds of questions my General Chemistry I and II professor was fond of - the entire final exam in one question.

Cool stuff

Ah yes, my favorite episode of blackpenredpenbluepengreenpenpurplepen

I really felt the "Why am I doing this" at 13:20 on deeper levels than is comprehensible.

You could have added the dx in the original problem. It was probably written in white. Excellent problem. I can solve it today, thanks to what I’ve learned from you over the past few years. I may have told you before that as a physicist, my first year of calculus was an “honors” class where all we did was proofs. The only think I really loved about that class was that we used Apostle and I fell in love with proofs by induction.

the "why am i doing this" is so real

The final answer can be further simplified into: -[(∜6)/2]coth⁻¹[x/(∜6)] - [(∜6)/2]tan⁻¹[x/(∜6)] + C however, what if the question is: (Without the restrictions/without the previous infinite series question) ∫[6/(x⁴-6)]dx for -∜6 Since coth⁻¹[x/(∜6)] is not defined for -∜6 !

Amazing

Very good

coefficients can be simplify to -(6)^(1/4)

"Why am I doing this 😞" was the best part 😂😂😂

Congratulations from a French student. 🇫🇷❤️

Best video

Erase part of the board!!! Also at the end, you could simplify square root of 6 / (2 * 4th root of 6) to just (4th root of 6) / 2.

the very first limit: isn't the definition of derivative? derivative of x^(-2) is -2/x^3

@someguy650

2 жыл бұрын

Yes u are right. He mentioned it in the video

@xinpingdonohoe3978

2 жыл бұрын

But when it's in first principles form, you should do it as an actual algebra question.

@Freddy-pp4nc

2 жыл бұрын

@@xinpingdonohoe3978 why, unless they say you have to why not save time

@xinpingdonohoe3978

2 жыл бұрын

@@Freddy-pp4nc because they are saying to. That is the structure of the question. If it is in first principles form, you need to do it as such. If it's in d/dx form, you can just derive it. With first principles at least you know where you're working to, so it isn't completely abstract algebra.

13:19 - My reaction when it's 4 am and I'm only watching these videos

It's nearly 2am and I've been up for over an hour trying to do this. I lay restless in bed thinking about this question

@Feministsiken3169

2 жыл бұрын

Awosome

Why am I watching these videos? I haven't studied calculus yet 😂

I just think, that's awesome

Somebody get this man a bigger whiteboard! xD

13:26 “why am i doing this”. that’s how i feel when i do implicit differentiation

You are awesome

A technician takes X hours to visit the stores in a couple of streets in one shift, and when he finishes his tour, another technician revisits the same stores again, needing other X hours to finish the second shift, and so on. For example, if the first technician started his shift at 1:00pm, he finishes it at 7:00pm and the second technician starts his shift at 7:00pm and finishes it at 1:00am, and so on. The supervisors used to make a quick meeting with all technicians twice a day at 1:00 am and 1:00 pm, so they need to finish their tours exactly 1:00. Identify the mathematical notation for the number of shifts should be made by the technicians in order to achieve this, write the name of this mathematical value, and find it for two tours, one with X=7 and another with X=11 how I can solve this Question

on todays episode of blackpenredpenbluepengreenpenpurplepen

Hello sir. A friend of mine got an equation he couldn't respond in an exam and i'm sure the solution isn't that hard. It's cos(z^2)=-4 Thank you if you can respond this one 😁

Integration of 1/sin^7x + cos^7x possible

gonna need this for when i retake calc 2… but on a side note, where did you get the pokeball cover for your mic?

06:32 It also can be nice way to use Heavyside cover up method, I guess. :)

Blackpenredpen Collab with purplepen greenpen and bluepen

Is this ASMR? I get the feels just by watching this

"Why am I doing this?" Chen Lu contemplating why he is attempting to solve a problem involving almost every core concept of calculus LOL....

You're missing a dx after the integral as soon as it starts

So now I can finally go back to blackpenredpen...

My brain exploded. I need to review calc clearly lol

I'm gonna learn calculus and come back here to see if I can understand more than 20% of this video

Hello there, big fan of you. I have a cuestion, aren´t you missing the x part on the partial fractions? Greetings from Mexico

He is legend 😭😭😂 what is kind of your food 😭

hello bprp. there's a limit that's been puzzling me for a while: lim(x,y)--->(0,0) (xy^3)/(x^2+y^6) if you try many directions like polynomail functions or y=sinx or y=e^x-1 the limit = 0 but if you saw the graph for that two variable function you see that the limit does not exist at (0,0) so from what direction is the limit not equal to 0?

He just holding the Pokemon ball for the whole vid

If you have 1/(0/1), would that be undefined, or would it be 0 because (a/b)/(c/d)=(a/b)×(d/c) meaning 1×(0/1)=0

I think there is an error in the last expression. The red part in factor of coth-1 and tan-1 should be (root4(6))^2 instead of just root4(6). So after simplification you get (-1/2)coth-1(x/root4(6)) - (1/2)tan-1(x/root4(6)) + c

I may be wrong with the following thought, but here goes: if inside a fraction, both numerator and denominator have the same sign - in our case, both are positive - its absolute value is the fraction itself. Which means that |6/(x^4)|sqrt_4(6), and not |x|>sqrt_4(6).

This problem is literally the manifestation of every thing I hate in math. The integral specifically lol.

Couldn't you have simplified the answer since √6 / ∜6 = 6^(1/2) / 6^(1/4) = 6^(1/2 - 1/4) = 6^(1/4) = ∜6 ?