Man I was like “Hey, at least you can do each one individually,” and then boom. 2
@TrimutiusToo3 жыл бұрын
Well you can still expand and do individually but it is nasty with all those products
@dr.rahulgupta75733 жыл бұрын
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-673 жыл бұрын
@@TrimutiusToo x^(√x/lnx) in the second row
@TomatoFryEgg3 жыл бұрын
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 ?
@soyanshumohapatra3 жыл бұрын
😂😂
@sharpman57723 жыл бұрын
If he can forget the 2, then I can too.
@playingmathswithparul81413 жыл бұрын
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@Nishikar17 Жыл бұрын
Good one
@krebtonvxv7634 Жыл бұрын
I don't think that you can integrate x^x and (tan(x))^10
@user-brown5911 Жыл бұрын
@@krebtonvxv7634tan^10 x can be done with reduction formula 😅
@krebtonvxv7634 Жыл бұрын
@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
@awildscrub3 жыл бұрын
That one student: *squares each individual term*
@delta32443 жыл бұрын
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.
@awildscrub3 жыл бұрын
If they did that they've already failed calc2 lol
@delta32443 жыл бұрын
@@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!
@awildscrub3 жыл бұрын
Yes
@derickd61503 жыл бұрын
@@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
@frannywiii3 жыл бұрын
*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
@MathSolvingChannel3 жыл бұрын
bprp: sorry, I forgot the minus sign, it should be -2
@mathevengers11313 жыл бұрын
Same thing happened with me.
@satvikp31863 жыл бұрын
@@MathSolvingChannel Oh god
@MathSolvingChannel3 жыл бұрын
@@satvikp3186 😆
@husklyman3 жыл бұрын
don't you mean DX?
@SuperStudiousman4 ай бұрын
Maybe the answer to this integral is the friends we made along the way..
@seabasschukwu6988Ай бұрын
😂😂😂
@AlexanderCook-cf9cgАй бұрын
Nah, it's 42
@ashwinraj20333 жыл бұрын
Alternate Title:- How to torture Wolfram Alpha.
@toasteduranium Жыл бұрын
I just put it in Wolfram Alpha and it said standard computation time exceeded
@NaN_000 Жыл бұрын
@@toasteduraniumi found most of them but i can't integrate x^x dx
@uselessmoron6947 Жыл бұрын
@@NaN_000x^x has a non elementary antiderivative, hence it can't be determined
@toasteduranium Жыл бұрын
@@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 Жыл бұрын
x^x dx is actually a special integral that cannot be integrated
@stormfly8933 жыл бұрын
Geogebra had a stroke trying to show this and died.
@Djake3tooth3 жыл бұрын
Desmos can do it!
@jayfaraday11769 ай бұрын
@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.
@GopaiCheems3 жыл бұрын
Well, at least +C has to be written only once this way
@JustAPokemonCommentingOnVideos3 жыл бұрын
lol
@indriyantoYin2 жыл бұрын
bad ending... you forgot to write +C at the end and you got 0 because teacher is not happy
@wel88_ Жыл бұрын
@@indriyantoYin damn didn't even get any points for the solution😭
@table5584 Жыл бұрын
@@indriyantoYinautomatic -(-1/12)
@advaykumar97263 жыл бұрын
Before putting 2 I was like could have solved it easily but now no way
@dudono17443 жыл бұрын
gl integrating x^x
@zapking82093 жыл бұрын
@@dudono1744 simple, the answer is DNE
@78anurag3 жыл бұрын
@@dudono1744 Dude it's ez I have done it first you need use the [REST OF COMMENT REDACTED]
@fotnite_3 жыл бұрын
@@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 Жыл бұрын
@@zapking8209 You can just write the infinite series.
@youngmathematician91543 жыл бұрын
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-qc5te3 жыл бұрын
The function has to exist at that number thought, you can’t choose -1 for example
@darkstar53173 жыл бұрын
this is pure meth
@laxminarayanbhandari8553 жыл бұрын
@@colejohnson66 Cole Johnson: You can't stop me. I would do what I want. Me: I know, but he can. He: Real Analysis.
@jayantagarwal90353 жыл бұрын
Why to do step 1 and step 2 when we can multiply with 0
@nikhilnagaria26723 жыл бұрын
@@AkashPatel-by6kn what
@scipioh16983 жыл бұрын
turning 10 questions into 1 question, brilliant
@MkChz5 ай бұрын
and the square made it into 100
@scipioh16985 ай бұрын
@@MkChz next step: cube it
@MonsterManStan3 жыл бұрын
That's kind of how I tell people I'm only going to have one beer tonight.
@a_beats55293 жыл бұрын
Oops forgot to mention the two gallon cup I'm gonna bring
@aliciang60353 жыл бұрын
A whole ocean full of beer
@emperor87168 ай бұрын
mega pint
@alberteinstein36123 жыл бұрын
Ok bro you need to show us how to do that integral
@bprpfast3 жыл бұрын
They are just Calc 2 integrals. Before I ( )^2 😆
@alberteinstein36123 жыл бұрын
@@bprpfast true 😂
@aryamannsrivastava72793 жыл бұрын
@@bprpfast why is Einstein asking you??
@salamander94023 жыл бұрын
@@aryamannsrivastava7279 Einstein wasn't the best at math
@darthmath10713 жыл бұрын
@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.
@cheeseparis13 жыл бұрын
Some say 42 is always the answer, but here it's 42 + C of course
@plislegalineu30053 жыл бұрын
C = 🌊🐟🦀🦐🧜🐚 (sea)
@SuperStudiousman4 ай бұрын
Maybe the answer is the friends we made along the way
@bprpfast3 жыл бұрын
Btw, all the integrals are doable (except for x^x, which the answer is just "no answer") before I put the ( )^2
@SimsHacks3 жыл бұрын
The result for x^x is the famous BPRP(x) function!!
@EE-ho1iz3 жыл бұрын
How did the test goes?
@dudono17443 жыл бұрын
just be a madlad and expand the square, then integrate each part
@jessehammer1233 жыл бұрын
In that case, the somewhat hilarious answer must be DNE!
@zapking82093 жыл бұрын
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
@juannunez80803 жыл бұрын
Show all work and No partial Credit. Class average: 2%. //There is always a sweat in every class.
@alberteinstein36123 жыл бұрын
I’ve always wanted to evaluate a definite integral where each of the bounds was it’s own definite integral :O 🥳
@laxminarayanbhandari8553 жыл бұрын
Lol. BTW, you Harshit?
@asldfkhjaslk3 жыл бұрын
Username checks out
@soyanshumohapatra3 жыл бұрын
What?
@gasun12743 жыл бұрын
this is cursed
@yularionlinemathematics3 жыл бұрын
I was thinking you can just do it individually 🤣😂🤣 That 2 ruined everything . This question deserves even more than 100 point
@Christian_Martel10 ай бұрын
It’s an easy one… just look at the last term. 😉
@caeoranger2 жыл бұрын
What's scarier isn't problem#1, it's his smile
@namanverma55033 жыл бұрын
Please do a short for the answer of this integral 🙂
@professorx30603 жыл бұрын
Of course, he can definitely do it in 60 seconds
@dudono17443 жыл бұрын
answer: doesn't exist in terms of elementary functions
@laxminarayanbhandari8553 жыл бұрын
@@dudono1744 lol best answer.
@mathevengers11313 жыл бұрын
I thought that we can do each one individually except x^x and then a dynamite namely, square explodes.
@TheEmeraldKidRE2 жыл бұрын
When he put that square there my heart sank into my fucking toes
@lifelessons30392 жыл бұрын
He is the greatest guy!!! Enjoyed and smiling every-time! Help ands Makes everyone happy !!!
@AceLordy3 жыл бұрын
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 .
@concordemachspeed243 ай бұрын
This filled up my fx-CG50 memory lmao.
@lualalsa3 жыл бұрын
That's what I did with Economy students in differential calculus: just one equation to derive implicitely.
@tusharsaini80673 жыл бұрын
Lmaoo.....idk what this is but it looks cool
@MathSolvingChannel3 жыл бұрын
double check, you forgot a "-" sign for that power 2! 2 -> -2
@soyanshumohapatra3 жыл бұрын
That's correct
@vitalsbat23103 жыл бұрын
he should put the 2 in front of the bracket instead of behind the bracket, coz it will be tetration instead of simply power
@soyanshumohapatra3 жыл бұрын
@@vitalsbat2310 yes
@alex_fromrsa48153 жыл бұрын
Adding the square at the end had me burst out witl laughter at 2 am. Well done.
@vikatchu6683 Жыл бұрын
i had a genuine terror reaction to this
@isabah44013 жыл бұрын
That deserves to be 1 point max
@kookediw99213 жыл бұрын
When squared that integral part I shocked fully
@arirooz62403 жыл бұрын
Please don't give my teacher ideas. 🤓
@playingmathswithparul81413 жыл бұрын
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@stanschmidt93882 жыл бұрын
now i wanna see a solution video
@m1nus16233 жыл бұрын
That '2' really kills me
@stealthgamer46202 жыл бұрын
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.
@Loveallah3212 ай бұрын
U substitution never depresses!!
@laxminarayanbhandari8553 жыл бұрын
I can provide a series representation for the last integral. Others are easy enough to solve using standard methods.
@TechnoRaabe3 жыл бұрын
how would that series look like?
@laxminarayanbhandari8553 жыл бұрын
@@TechnoRaabe complicated.
@raymondxiao2716 Жыл бұрын
Last second: smile of a devil
@regulusmuphrid48913 жыл бұрын
Not kidding Im gonna use these one to study for my exam.
@lusifurlion96088 ай бұрын
His smile is devious
@centipedekid98242 жыл бұрын
Problem like that give me anxiety. My mind immediately panics and is like "wtf is that? How do you start?"
@nikhilnagaria26723 жыл бұрын
You missed a minus sign in front of the 2.
@somekidinband3892 Жыл бұрын
When he put the 2, i just felt the vine boom sound effect in my head.
@Sh4dowbanned7 ай бұрын
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 Жыл бұрын
Me: why is there so many sticks drawn in that paper
@infinitezer3950 Жыл бұрын
That square at the end NOOOO!!!😭
@dheeraj09233 жыл бұрын
Imagine you're the chosen one and you have to solve this to save humanity
@Subcritical9611 ай бұрын
This can be solved easily by u substitution followed up by a laplace transformation with integration by parts and vector calculus! So easy!
@preciousmathematicsfun4331Ай бұрын
My head will burst if I try to solve that😅.
@angelzjzj9 ай бұрын
You can use U-sub and individually take the derivative then u^2= (u^3/3) * du
@dipankarbanerjee1130 Жыл бұрын
Hey, sir, I am "very eager" to know what will be the result on integration of (x)^(x) ? Please make a video !!
@Rugjoint2 жыл бұрын
lmao the x^x at the end
@ryanwilson9555 Жыл бұрын
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.
@ryanwilson95559 ай бұрын
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 Жыл бұрын
That smile of yours is the scariest smile I have ever seen
@Dantido9 ай бұрын
I'm pretty sure that square makes this integral basically imposible to do on a reasonable test time frame.
@Bruh-bk6yo3 жыл бұрын
It's an integral of Bprp(x) function
@jesusthroughmary2 ай бұрын
That 2 hits different
@IceEeehtir3 жыл бұрын
we deserve you as our teacher
@ravisharaghavan80103 жыл бұрын
I would like to see a video of you solving this integration problem
@playingmathswithparul81413 жыл бұрын
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@DenaliTheCommie3 жыл бұрын
That 2 crushed me
@playingmathswithparul81413 жыл бұрын
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@ishaaqahamed38883 жыл бұрын
The way to do these integrals perfectly is to do them perfectly. Works every time
@abhi_kr_mishra3 жыл бұрын
Answer f(x) +C Where f'(x) is the question itself.
@playingmathswithparul81413 жыл бұрын
Math Trick 🤔 kzbin.info/www/bejne/nnbUq6iFh7Nribc In this channel you get daily math Tricks
@SISKCERTWaJaVlogs Жыл бұрын
Teacher: there is only 1 q on the homework The homework: 1a 1b 1c 1d 1e 1f 1g
@navkaranhanda3 жыл бұрын
well because of the first term we know that x
@playingmathswithparul81413 жыл бұрын
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@Mystical_PoetАй бұрын
We need this solution!! If it is integrable that is
@Ocelotthecat21 күн бұрын
*There is another.* (turns it into a definite integral with only irrational numbers)
@shadow_navneet2 жыл бұрын
When he writes 2 i literally fell down.
@General12th2 жыл бұрын
huhue baby fall down
@CliffSedge-nu5fv2 ай бұрын
I would probably do that whole thing correctly, but miss a negative sign somewhere in my final answer and only get half credit.
@dijkstra46782 жыл бұрын
how to give someone a heart attack
@ealejandrochavez3 жыл бұрын
I am sure your students loved you!
@bradleydillman82448 ай бұрын
Intergration by parts, partial fraction, trigonometry substitutions. Don’t forget to add a “C”.
@MLnyamada2 жыл бұрын
You know, that actually isn't so bad, just gonna take some time
@theghf7696 ай бұрын
Imagine integrating this whole thing right, but got a 0 because you forgot +C
@anuragdey71308 ай бұрын
solving numerically would be my only approach
@Tony291033 жыл бұрын
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 Жыл бұрын
I like how there is casually the x^x integral which has no antiderivative
@TheMasterGreen9 ай бұрын
That is simply a 10 question test lol
@___Infinity____ Жыл бұрын
Answer is x-1+...i only studied upto that
@kimtgf71523 жыл бұрын
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.
@tebourbi8 ай бұрын
Wtf x^x is just straight up impossible haha
@tonyhaddad13943 жыл бұрын
When you have an evil teacher 😅😅
@tonyhaddad13943 жыл бұрын
Or When a teacher thinks his students are Albert Einstein 😅😅
@laxminarayanbhandari8553 жыл бұрын
@@tonyhaddad1394 I can do them. So...
@camilofajardo9199 Жыл бұрын
@@laxminarayanbhandari855 that's you not everybody
@laxminarayanbhandari855 Жыл бұрын
@@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.
@akshinbarathi89143 жыл бұрын
thats a nightmare, imagine doing one mistake and the whole stuff collapes
@holyshit9222 жыл бұрын
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)
@fullsendmountainbiker58448 ай бұрын
Teacher: the test only has a few questions Also teacher:
@JH-tj1qs3 жыл бұрын
At least it's not a definite integral
@78anurag3 жыл бұрын
Dude definite integral would make the x^x part easier
@laxminarayanbhandari8553 жыл бұрын
@@78anurag extremely easy
@pournamirajesh5506 Жыл бұрын
man you are EVIL for adding the 2 ..
@shivanshnigam4015 Жыл бұрын
Ok I'm gonna do all that just without the 2 for practice 😂
@cinegasro71808 ай бұрын
And without x^x lol
@sanathkumar54039 ай бұрын
That 2 increases difficulty 2 thousand times
@VaffleMan3 ай бұрын
I think it's indeterminate, because the last term is x^x which cannot be integrated
@dwaraganathanrengasamy61692 жыл бұрын
And the people would never believe you... That a 2 ruins your life so bad...
@adarshpoojary23043 жыл бұрын
This shows the value of your position Before writing 2, everyone I could solve it after writing 2 at exponent I quit 😂
@shresthamishra81913 жыл бұрын
I had slight hopes of solving it....they vanished after that 2😭😭
@playingmathswithparul81413 жыл бұрын
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@australiadegeneratecrocodi19065 ай бұрын
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 Жыл бұрын
This is a mad integral out of the world.😅
@jdlopez1318 ай бұрын
This is one sadistic teacher
@Claudiaaaaaaaaaaaaaaaaa3 жыл бұрын
Tchr did them dirty 😄
@playingmathswithparul81413 жыл бұрын
Math Trick 🤔 kzbin.info/www/bejne/nnbUq6iFh7Nribc In this channel you get daily math Tricks
@rabbi_dragon_slayer Жыл бұрын
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-ft3nk3 жыл бұрын
Either you get it all or lose it all
@playingmathswithparul81413 жыл бұрын
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@ericchen31299 ай бұрын
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.
@Djake3tooth3 жыл бұрын
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