Integral of ln(x) fast!

Integral of ln(x) via integration by parts (DI method)!
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bprp calculus

[@bprpfast]

Hi!

[@jamesbentonticer4706]

Hello. Happy new year thanks for your two channels!

[@jessehammer123]

Hi!

[@ac_motovlog]

happy new year bprp

[@maxwellsequation4887]

HI!

[@adrianhdz138]

AAAAAAAA

[@irfanadlan4662]

That scream caught me off-guard ngl

[@YeahEsCereal]

Ngl & tbh, same

[@nahomgebeyehu6238]

Same

[@BabluDey-vt7fb]

​@@YeahEsCerealwhat does that mean 😅

[@athenovae]

Instructions unclear. Screamed during exam twice for every integration problem and got kicked out.

[@dhruvjat8150]

Top 10 rappers eminem is afraid to diss-

[@thefmdguy1308]

Even my Garlic Bread Wrapper is faster than Eminem 🗿️💀

[@justagirlchillinghere]

wrapper

[@itachu.]

ong ong fr fr

[@weirdo5275]

Nv sir 🙏

[@BaiLanRenSheng]

i love these kind of short math videos cuz with 2x playback speed i can finish watching them within 30 seconds 😃

[@mohammednayimamani8758]

I came across you're channels through youtube stories and I have to say these short super fast clips are really beneficial for students because I picked up a new interest for speedrunning math.

[@whyareureadingthis6719]

There another name to speed running math, it's called using wolfram

[@emdee31]

Your*

[@mohammednayimamani8758]

@@emdee31 thank you :)

[@sohidulislam6020]

​@@emdee31thank you

[@sandeeptiwari5189]

That scream is a mathematician's war cry

[@yeahitslachlan]

Do we scream while doing this integral? Happy to follow exactly haha

[@cosmasmutale5299]

Your talented and a true definition of Genius mr man!?

[@caesarssekyeru8490]

thanks so much this was very helpful

[@alexatg1820]

I just derive the formula for general inverse function and apply it LMAO

[@alexatg1820]

FYI, the proof:
assuming f is a bijective function, and let g be f inverse, then, the integral of inverse of x become ∫ g(x)dx,
Note that x=f(g)
dx=f'(g)dg
Now, ∫ g(x) dx
= ∫ g*f'(g) dg
= ∫ gdf
=g(x)*f(g) - ∫ f(g)dg
=x*g(x)-F(g)+C where F is the anti-derivative of f,
Now, since e^x is bijective from ℝ to ℝ⁺,
let f(x)= e^x, g(x)=ln x, F(x)= ∫ e^x dx=e^x
∫ lnx dx = x*lnx -e^(lnx)+C
=x*lnx-x+C
PS: i know this looks complicated but if u know the formula u can immediately know the answer to the integral

[@JashXD]

@@alexatg1820should i remember this formula

[@tegathemenace]

​@@JashXD No. Until you have an exam for a course where it's taught. Keep your storage for important stuff

[@JashXD]

@@tegathemenace ty i am starting calc 3 soon

[@MC_Transport]

"AHHHH" 😂😂😂

[@JBGG1]

This is how I watch math vid when I have a test in 5 min

[@VaibhavVerma-xe3ld]

nice

[@keithwrx8]

I thought this was sped up until you started yelling 😂

[@Coolhylda]

That scream genuinely sacred me 😂

[@52.yusrilihsanadinatanegar79]

now that's a speedrun

[@aimranehd]

we kind of learned this strategy in school too. we remember the word "ALPES" where A means arctan, L means log, P means poly, E means exp, and S means sin/cos/tan. from A to S, we prioritize D, and from S to A, we prioritize I

[@williamsantos9471]

Thats pretty much LIATE
Logarithm (log)
Inverse (arc-)
Arithmetic (x^2, etc)
Trigonometric (sin, cos, ...)
Exponential (e^x, etc)
He doesn't like doing it by the way

[@flashdash5761]

I also found another method to do this, to multiply lnx by x/x, and so using u-sub to get the integral of ue^u du. Then, the DI method is used to derive the answer.

[@FundamSrijan]

The sudden boss ( integration ) appears
"Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa"

[@akolangto8225]

So brilliant

[@RJN0607]

For those of you taking integral calculus, get to know this example. You're going to find it in every book.

[@Lord_GVR]

Can you integrate log(x)?

[@mouhamedguetoiche]

Thanks man❤

[@jinkarakesh5403]

I love ur videos for the cute smile u give

[@dr.rahulgupta7573]

Alternatiely put x=e^t and apply DI method .This is simpler . DrRahul Rohtak Haryana India

[@puppylover5860]

Did this one in my head! Got it right but I always forget that c

[@arjumandayub9049]

Integration by parts

[@user-xr1st6ee7b]

I was focusing on how he switched markers so fast.

[@JerryMe-fz2pu]

Is he speaks english 😂 i lv it ❤

[@exoticcoder5365]

Call me a sadist but I love the scream

[@muhammadaryasaputra6754]

x... AAAAAAAH

[@surendradadhich]

Hlw ,i am from india.....my question is the collection of hairs is not a set but collection of hairs of a particular person is set or not?

[@scrubwasher4452]

I’ll just use the final answer as a given and not show my work 😎

[@danielrosado3213]

Beautiful Walter Lewin lines 😌

[@arifahmad-7261]

What is your name?

[@ignantxxxninja]

Lol nice problem and trick to start solving it. The execution was a solid 5/7 lol

[@ahmadrasheed2598]

Bro speaks in QR code

[@HarshSharma-om9ec]

NCERT question

[@justinhepburn1972]

Wow

[@kapbabu4058]

Who forgot +c at the end 😂

[@Brekstahkid]

Lol love it

[@vivekbhawsar77882]

Good one more THING that can done is substitute Lnx

[@Abhay0505]

Yeah the most important part is the +C 😂

[@user-jk4kt1gp8h]

The scream...

[@earl9936]

IBP?

[@Optimusprime-ve7xi]

If only i knew maths but I don't

[@mryip06]

Who invented the way to put a rectangle?

[@henry12h]

So I'm ready for MIT?

[@souhilaoughlis5832]

I like that AAAAAAAAA

[@NeGATIVEZeR0.]

hahaha im surprised caues you shout🤣🤣

[@FNShadow008]

So you integrate 1 then you *AÆÃHHHHH*

[@unknown-bx8my]

How can i learn that?
Do you have source for that guys?

[@NEET9THCLASSM2MPL]

Bro how u talk and wrote tht fast 😮😮😮

[@justagamer2547]

Just use by parts

[@kannusingh7003]

Do you even breathe?
Wow...

[@kaishang6406]

Math speedrunner

[@MarcosGarcia-kx4rb]

Someone know what Is that Mic brand ?

[@hagen1555]

not exactly, but the Blue Snowball comes near to this

[@onlydreaming9301]

Doesn’t work for (cos(x))^2

[@itsparker7124]

half angle identity?

[@XanthumS]

My mans mouth cant keep up with his brain

[@ritchardohnmacht2195]

Ya I’m still lost

[@adrianhdz138]

0:33 XDDDD

[@fornoexactreason]

I only know u into v

[@hareknowsnone]

I want faster!!!

[@octobrerouge1997]

Ahhhhh 😂 ❤

[@user-vh8dn1tf8v]

why do i learn method I will learn formula

[@aboodelhesnawi2721]

Botara shokalata meao fakab ?😢sloly pro

[@lukethighstalker]

Thewhatnow?

[@dr.rahulgupta7573]

Excellent !! Thanks a log ( base e ) . Pikachu can also solve this problem .DrRahul Rohtak Haryana India

[@ROHANDATAR1]

Wrong answer.
Correct answer is : x (log x - 1) + c

[@kachiko6874]

its correct

[@Markus_SD]

🤦‍♂️

[@c0dename_ram24]

I refuse to believe this man is speaking English. There's no way. Idk what langauge it is but it can't be English

[@medsaifeddinekamoun2921]

I jumped 0:34

[@user-ku5wn6ei8s]

Indian 😂 are available ❤❤❤

[@ryanleung6753]

????

[@hensenstratovdiehard231]

Lowqamericanguysapproveit)))

[@tusshaagunasegranpillaimoe2768]

Why did it sounded like Chinese? 🥲

[@carultch]

He is from Taiwan, so he probably slips in an occasional Chinese word.

[@SLUFF2]

Chigga ul haq

[@cuongnguyenngoc1203]

EZ?

[@m.isworld2562]

bprp x: solves math fast
me: comments fast to be first

[@samrinn1142]

Sir give subtitles..... I'm not understanding your pronounsation

[@carultch]

I'm gonna show you how to integrate ln(x), and to do that, we just want to use integration by parts, and of course I will show you guys the D-I method.
So let's go ahead and put down the D and I right here, and then put down the plus and minus here, and now we are ready. I'm not going to put down the ln(x) here, because we're trying to integrate ln(x), right? So we really have to differentiate ln(x), and we integrate 1.
Now, differentiate ln(x) and get 1 over x; integrating 1, we get x. And now you see when we multiply this diagonal, we get x ln(x) and that's the first part. Then, when we multiply this row, that's still an integral, so we have minus integral 1 over x multiply x, and then we integrate that.
See, this right here, that's equal to 1, so we have to integrate 1....AAGH!, in the x-world is gonna be AAGH! x ln(x) minus x, and then we are done so put down the +C, and that's it!

[@Unlimit-729]

​@@carultch omg I can't believe he said so many words in one minute

[@Simon.irl_345]

Tu kiye maghia ?

[@anshumanagrawal346]

The random screams tho.....

[@nikhilwaghmare3155]

Thukna band Kar de bhai....

[@thephysicistcuber175]

Slow.

[@bash-n-crash]

kmal ka bnda h yr m pgl gai