When a calculus teacher says “I will only put 1 integral on the test”

[@Moramany]

Man I was like “Hey, at least you can do each one individually,” and then boom. 2

[@TrimutiusToo]

Well you can still expand and do individually but it is nasty with all those products

[@dr.rahulgupta7573]

I can give the value of the integral multiplied by zero immediately , which is still zero . Is it O.K. ? This is the method suggested by pikachu .

[@Noname-67]

@@TrimutiusToo x^(√x/lnx) in the second row

[@TomatoFryEgg]

well, i guest we can subsitude maybe k such that integral k^2 and for dk =?dx (i dont want to calculate) and intergral seperately and the whole thing divide by ?

[@soyanshumohapatra]

😂😂

[@sharpman5772]

If he can forget the 2, then I can too.

[@playingmathswithparul8141]

Math Trick 🤔 kzbin.info/www/bejne/nnbUq6iFh7Nribc In this channel you get daily math Tricks

[@Nishikar17]

Good one

[@krebtonvxv7634]

I don't think that you can integrate x^x and (tan(x))^10

[@user-brown5911]

​@@krebtonvxv7634tan^10 x can be done with reduction formula 😅

[@krebtonvxv7634]

@brownperson5911 Yeah, sorry I didn't notice that, but x^x can not be integrated. In fact, you can find its definite integral using what is called Bernoulli integral

[@awildscrub]

That one student: *squares each individual term*

[@delta3244]

They still have to deal with integrating x^2x, x^(2x^(1/2)/ln(x)), and 2x^(x+x^(1/2)/ln(x)). Good luck doing that in calc 2.

[@awildscrub]

If they did that they've already failed calc2 lol

[@delta3244]

@@awildscrub wait, were you refering to the student who says "(a+b+c)^2 = a^2 + b^2 + c^2"? I thought you were making a different joke, my bad!

[@awildscrub]

Yes

[@derickd6150]

@@delta3244 I thought the same. I think it's even more funny if he means the one who squares the brackets correctly and writes out every term

[@frannywiii]

*shows the integral* Me: Ok, that’s going to be long. Just integrate each term and then… Bprp: Sorry, I forgot the 2. Me: ._.XD

[@MathSolvingChannel]

bprp: sorry, I forgot the minus sign, it should be -2

[@mathevengers1131]

Same thing happened with me.

[@satvikp3186]

@@MathSolvingChannel Oh god

[@MathSolvingChannel]

@@satvikp3186 😆

[@husklyman]

don't you mean DX?

[@SuperStudiousman]

Maybe the answer to this integral is the friends we made along the way..

[@seabasschukwu6988]

😂😂😂

[@AlexanderCook-cf9cg]

Nah, it's 42

[@ashwinraj2033]

Alternate Title:- How to torture Wolfram Alpha.

[@toasteduranium]

I just put it in Wolfram Alpha and it said standard computation time exceeded

[@NaN_000]

​@@toasteduraniumi found most of them but i can't integrate x^x dx

[@uselessmoron6947]

​@@NaN_000x^x has a non elementary antiderivative, hence it can't be determined

[@toasteduranium]

@@NaN_000 Wouldn’t that equal e^(ln(x^x)), which equals e^(xln(x))? I’m not sure if this next step is valid, but perhaps that leads to ln(x)*e^(xln(x))*(1/x), with the last term coming from the chain rule? I’m not certain.

[@tristensidhu959]

x^x dx is actually a special integral that cannot be integrated

[@stormfly893]

Geogebra had a stroke trying to show this and died.

[@Djake3tooth]

Desmos can do it!

[@jayfaraday1176]

@icouldntthinkofabettername... It has no problem with x^x. The only part of this it couldn't manage is the trig functions when the exponent wasn't 2 or -1.

[@GopaiCheems]

Well, at least +C has to be written only once this way

[@JustAPokemonCommentingOnVideos]

lol

[@indriyantoYin]

bad ending... you forgot to write +C at the end and you got 0 because teacher is not happy

[@wel88_]

@@indriyantoYin damn didn't even get any points for the solution😭

[@table5584]

@@indriyantoYinautomatic -(-1/12)

[@advaykumar9726]

Before putting 2 I was like could have solved it easily but now no way

[@dudono1744]

gl integrating x^x

[@zapking8209]

@@dudono1744 simple, the answer is DNE

[@78anurag]

@@dudono1744 Dude it's ez I have done it first you need use the [REST OF COMMENT REDACTED]

[@fotnite_]

@@dudono1744 You can do it by finding a generalized form of x^x's Puiseux series, and then integrating that. It would be not very nice looking, and would have nested summation functions, but it's possible. I'm not sure you could convert the series back, though. Maybe you could define an arbitrary function named after yourself, and then define it as equivalent to the series?

[@MT-od6by]

@@zapking8209 You can just write the infinite series.

[@youngmathematician9154]

Here's how you solve this integral : Step 1 : Put any number below the integral sign Step 2 : Put that same number above the integral sign Step 3 : The answer is 0. QED

[@lilmarco-qc5te]

The function has to exist at that number thought, you can’t choose -1 for example

[@darkstar5317]

this is pure meth

[@laxminarayanbhandari855]

@@colejohnson66 Cole Johnson: You can't stop me. I would do what I want. Me: I know, but he can. He: Real Analysis.

[@jayantagarwal9035]

Why to do step 1 and step 2 when we can multiply with 0

[@nikhilnagaria2672]

@@AkashPatel-by6kn what

[@scipioh1698]

turning 10 questions into 1 question, brilliant

[@MkChz]

and the square made it into 100

[@scipioh1698]

@@MkChz next step: cube it

[@MonsterManStan]

That's kind of how I tell people I'm only going to have one beer tonight.

[@a_beats5529]

Oops forgot to mention the two gallon cup I'm gonna bring

[@aliciang6035]

A whole ocean full of beer

[@emperor8716]

mega pint

[@alberteinstein3612]

Ok bro you need to show us how to do that integral

[@bprpfast]

They are just Calc 2 integrals. Before I ( )^2 😆

[@alberteinstein3612]

@@bprpfast true 😂

[@aryamannsrivastava7279]

@@bprpfast why is Einstein asking you??

[@salamander9402]

@@aryamannsrivastava7279 Einstein wasn't the best at math

[@darthmath1071]

@MonarchPlays He was good at math but I think salamander refers to the fact that he once required "math help" from professional mathematicians to formalize his insights.

[@cheeseparis1]

Some say 42 is always the answer, but here it's 42 + C of course

[@plislegalineu3005]

C = 🌊🐟🦀🦐🧜🐚 (sea)

[@SuperStudiousman]

Maybe the answer is the friends we made along the way

[@bprpfast]

Btw, all the integrals are doable (except for x^x, which the answer is just "no answer") before I put the ( )^2

[@SimsHacks]

The result for x^x is the famous BPRP(x) function!!

[@EE-ho1iz]

How did the test goes?

[@dudono1744]

just be a madlad and expand the square, then integrate each part

[@jessehammer123]

In that case, the somewhat hilarious answer must be DNE!

[@zapking8209]

Wait then wouldn’t the whole thing just be non-elementary? Because you can’t have, for example, x^2+ ln(sin(x))+non-elementary+C

[@juannunez8080]

Show all work and No partial Credit. Class average: 2%. //There is always a sweat in every class.

[@alberteinstein3612]

I’ve always wanted to evaluate a definite integral where each of the bounds was it’s own definite integral :O 🥳

[@laxminarayanbhandari855]

Lol. BTW, you Harshit?

[@asldfkhjaslk]

Username checks out

[@soyanshumohapatra]

What?

[@gasun1274]

this is cursed

[@yularionlinemathematics]

I was thinking you can just do it individually 🤣😂🤣 That 2 ruined everything . This question deserves even more than 100 point

[@Christian_Martel]

It’s an easy one… just look at the last term. 😉

[@caeoranger]

What's scarier isn't problem#1, it's his smile

[@namanverma5503]

Please do a short for the answer of this integral 🙂

[@professorx3060]

Of course, he can definitely do it in 60 seconds

[@dudono1744]

answer: doesn't exist in terms of elementary functions

[@laxminarayanbhandari855]

@@dudono1744 lol best answer.

[@mathevengers1131]

I thought that we can do each one individually except x^x and then a dynamite namely, square explodes.

[@TheEmeraldKidRE]

When he put that square there my heart sank into my fucking toes

[@lifelessons3039]

He is the greatest guy!!! Enjoyed and smiling every-time! Help ands Makes everyone happy !!!

[@AceLordy]

Well , that was indeed one hell of an integral . Good thing is that the part of partial fractions was also partially done . Edit: I commented without even watching till the end of this video. The 2 you have put at the end almost killed me .

[@concordemachspeed24]

This filled up my fx-CG50 memory lmao.

[@lualalsa]

That's what I did with Economy students in differential calculus: just one equation to derive implicitely.

[@tusharsaini8067]

Lmaoo.....idk what this is but it looks cool

[@MathSolvingChannel]

double check, you forgot a "-" sign for that power 2! 2 -> -2

[@soyanshumohapatra]

That's correct

[@vitalsbat2310]

he should put the 2 in front of the bracket instead of behind the bracket, coz it will be tetration instead of simply power

[@soyanshumohapatra]

@@vitalsbat2310 yes

[@alex_fromrsa4815]

Adding the square at the end had me burst out witl laughter at 2 am. Well done.

[@vikatchu6683]

i had a genuine terror reaction to this

[@isabah4401]

That deserves to be 1 point max

[@kookediw9921]

When squared that integral part I shocked fully

[@arirooz6240]

Please don't give my teacher ideas. 🤓

[@playingmathswithparul8141]

Vedic Maths Trick for all competitive exam 🤔 kzbin.info/aero/PLjGnVzD4rvf3XeeXLzySD4MpniMuub-5e

[@stanschmidt9388]

now i wanna see a solution video

[@m1nus1623]

That '2' really kills me

[@stealthgamer4620]

I’ve felt depression from these videos before, but this hit a whole new low. My teacher, a former AP Calculus teacher, now teaching semester normal Calculus, it’s especially hard since it’s semester all crammed lessons, anyway, the teacher would purposely find hard and tricky questions to be on the test. Our class hated it.

[@Loveallah321]

U substitution never depresses!!

[@laxminarayanbhandari855]

I can provide a series representation for the last integral. Others are easy enough to solve using standard methods.

[@TechnoRaabe]

how would that series look like?

[@laxminarayanbhandari855]

@@TechnoRaabe complicated.

[@raymondxiao2716]

Last second: smile of a devil

[@regulusmuphrid4891]

Not kidding Im gonna use these one to study for my exam.

[@lusifurlion9608]

His smile is devious

[@centipedekid9824]

Problem like that give me anxiety. My mind immediately panics and is like "wtf is that? How do you start?"

[@nikhilnagaria2672]

You missed a minus sign in front of the 2.

[@somekidinband3892]

When he put the 2, i just felt the vine boom sound effect in my head.

[@Sh4dowbanned]

Hey, you were honest. I usually see 20 questions instead of 1 integral with just 10 terms. Better than 10 different questions. U have to read, analyze, & then freeze each time u look at the next. Having 1 is a blessing.

[@Deoxys_da2]

Me: why is there so many sticks drawn in that paper

[@infinitezer3950]

That square at the end NOOOO!!!😭

[@dheeraj0923]

Imagine you're the chosen one and you have to solve this to save humanity

[@Subcritical96]

This can be solved easily by u substitution followed up by a laplace transformation with integration by parts and vector calculus! So easy!

[@preciousmathematicsfun4331]

My head will burst if I try to solve that😅.

[@angelzjzj]

You can use U-sub and individually take the derivative then u^2= (u^3/3) * du

[@dipankarbanerjee1130]

Hey, sir, I am "very eager" to know what will be the result on integration of (x)^(x) ? Please make a video !!

[@Rugjoint]

lmao the x^x at the end

[@ryanwilson9555]

Integrating some of these terms such as x^x or x^(sqrt(x)/ln x) individually already seems annoying enough on their own. But now that the whole expression is being squared, things just got a whole lot worse.

[@ryanwilson9555]

The number of terms you get after squaring a sum of *n* terms is equal to *(n^2+3n)/2* terms, given n ≥ 2 terms. Therefore, squaring a sum of 10 terms yields a sum of 65 terms. Like I said, integrating terms such as x^x or x^(sqrt(x)/ln x) individually may be tedious enough on their own, but having the whole integrand being squared makes the entire integral explode.

[@visiontravels4569]

That smile of yours is the scariest smile I have ever seen

[@Dantido]

I'm pretty sure that square makes this integral basically imposible to do on a reasonable test time frame.

[@Bruh-bk6yo]

It's an integral of Bprp(x) function

[@jesusthroughmary]

That 2 hits different

[@IceEeehtir]

we deserve you as our teacher

[@ravisharaghavan8010]

I would like to see a video of you solving this integration problem

[@playingmathswithparul8141]

Math Trick kzbin.info/www/bejne/nnbUq6iFh7Nribc In this channel you get daily math Tricks

[@DenaliTheCommie]

That 2 crushed me

[@playingmathswithparul8141]

Math Trick 🤔 kzbin.info/www/bejne/nnbUq6iFh7Nribc In this channel you get daily math Tricks

[@ishaaqahamed3888]

The way to do these integrals perfectly is to do them perfectly. Works every time

[@abhi_kr_mishra]

Answer f(x) +C Where f'(x) is the question itself.

[@playingmathswithparul8141]

Math Trick 🤔 kzbin.info/www/bejne/nnbUq6iFh7Nribc In this channel you get daily math Tricks

[@SISKCERTWaJaVlogs]

Teacher: there is only 1 q on the homework The homework: 1a 1b 1c 1d 1e 1f 1g

[@navkaranhanda]

well because of the first term we know that x

[@playingmathswithparul8141]

Math Trick kzbin.info/www/bejne/nnbUq6iFh7Nribc In this channel you get daily math Tricks

[@Mystical_Poet]

We need this solution!! If it is integrable that is

[@Ocelotthecat]

*There is another.* (turns it into a definite integral with only irrational numbers)

[@shadow_navneet]

When he writes 2 i literally fell down.

[@General12th]

huhue baby fall down

[@CliffSedge-nu5fv]

I would probably do that whole thing correctly, but miss a negative sign somewhere in my final answer and only get half credit.

[@dijkstra4678]

how to give someone a heart attack

[@ealejandrochavez]

I am sure your students loved you!

[@bradleydillman8244]

Intergration by parts, partial fraction, trigonometry substitutions. Don’t forget to add a “C”.

[@MLnyamada]

You know, that actually isn't so bad, just gonna take some time

[@theghf769]

Imagine integrating this whole thing right, but got a 0 because you forgot +C

[@anuragdey7130]

solving numerically would be my only approach

[@Tony29103]

What? No bounds? Why not turn it into an improper integral maybe make one of the terms e^(x^2) and make them integrate it using series.

[@damyankorena]

I like how there is casually the x^x integral which has no antiderivative

[@TheMasterGreen]

That is simply a 10 question test lol

[@___Infinity____]

Answer is x-1+...i only studied upto that

[@kimtgf7152]

Well, you can differentiate the integral twice, then integrate the linearly seperated functions two times, idk how this would go though. Edit: nvm I forgot about the chain rule, don't try this.

[@tebourbi]

Wtf x^x is just straight up impossible haha

[@tonyhaddad1394]

When you have an evil teacher 😅😅

[@tonyhaddad1394]

Or When a teacher thinks his students are Albert Einstein 😅😅

[@laxminarayanbhandari855]

@@tonyhaddad1394 I can do them. So...

[@camilofajardo9199]

​@@laxminarayanbhandari855 that's you not everybody

[@laxminarayanbhandari855]

@@camilofajardo9199 that's not only me, it's the case for many. I'm not even that good with integration. I've seen monster integrators on MSE and Quora.

[@akshinbarathi8914]

thats a nightmare, imagine doing one mistake and the whole stuff collapes

[@holyshit922]

I will probably start with integrating by parts with differentiating whole integrand and integrating one then I would try to simplify the integral which remains and using linearity split it into more integrals Here we have Int((f(x))^2,x) and integration by parts gives us at least two possibilities Int((f(x))^2,x) = x(f(x))^2 - 2Int(xf(x)f'(x),x) or Int((f(x))^2,x) = f(x)Int(f(x),x)-Int(f'(x)Int(f(x),x),x)

[@fullsendmountainbiker5844]

Teacher: the test only has a few questions Also teacher:

[@JH-tj1qs]

At least it's not a definite integral

[@78anurag]

Dude definite integral would make the x^x part easier

[@laxminarayanbhandari855]

@@78anurag extremely easy

[@pournamirajesh5506]

man you are EVIL for adding the 2 ..

[@shivanshnigam4015]

Ok I'm gonna do all that just without the 2 for practice 😂

[@cinegasro7180]

And without x^x lol

[@sanathkumar5403]

That 2 increases difficulty 2 thousand times

[@VaffleMan]

I think it's indeterminate, because the last term is x^x which cannot be integrated

[@dwaraganathanrengasamy6169]

And the people would never believe you... That a 2 ruins your life so bad...

[@adarshpoojary2304]

This shows the value of your position Before writing 2, everyone I could solve it after writing 2 at exponent I quit 😂

[@shresthamishra8191]

I had slight hopes of solving it....they vanished after that 2😭😭

[@playingmathswithparul8141]

Math Trick 🤔 kzbin.info/www/bejne/nnbUq6iFh7Nribc In this channel you get daily math Tricks

[@australiadegeneratecrocodi1906]

when the teachers says : " I am going to add just a little integral question at the end of the test , trust me its for your own good " the integral :

[@slavinojunepri7648]

This is a mad integral out of the world.😅

[@jdlopez131]

This is one sadistic teacher

[@Claudiaaaaaaaaaaaaaaaaa]

Tchr did them dirty 😄

[@playingmathswithparul8141]

Math Trick 🤔 kzbin.info/www/bejne/nnbUq6iFh7Nribc In this channel you get daily math Tricks

[@rabbi_dragon_slayer]

I’d just write “uhhh prob 1, because you’re a goofball teacher and here’s a picture of a penguin I drew in the place of “show your work””

[@sunilkumar-ft3nk]

Either you get it all or lose it all

[@playingmathswithparul8141]

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[@ericchen3129]

Why just stick with 2 when you can make them evaluate another similarly long integral to see what power the main integral is raised to? That integral can be an "all-in-one" calculus integral per se.

[@Djake3tooth]

The (1-x^2)^1/2 makes the restriction x0, so I think with an indefinite integral like this, there’s no answer because 0