Integration techniques tier list mostly from Calculus one and two.
Пікірлер
For all you 🤓🤓. These techniques are from calc two and below so I don't wanna hear some very specific thing you learned for a week in complex analysis.
@KedronCLАй бұрын
LMFAOOO
@karelnarseloАй бұрын
A lot of advanced integration theory also comes from measure theory, which isn't really from complex analysis - but a course / topic in and of itself that deserves its recognition tbh
@aimsmathmatrixАй бұрын
math 505 has some nice stuff, there are way more methods lol
@lih339127 күн бұрын
The ultimate integration technique: Guessing
@itsme5625Ай бұрын
That's called integration by differentiating the Ansatz. You guess the form of the integral result, with undetermined coefficients, then differentiate, and then match coefficients to the original integrand.
@carultchАй бұрын
@@carultchundetermined coefficients. Like the differential equations one?
@FirstnameLastname-bx4zkАй бұрын
@@FirstnameLastname-bx4zk Similar to it, yes. In a way, it is a solution to a diffEQ, where dy/dx = the given integrand. Here's an example. Consider: Integral (3*x + 4)/sqrt(x + 1) dx Assume the solution has the form: (A*x + B)*sqrt(x + 1) Why? Because we know the net exponent on each x-term, must increase by 1, due to the process of integration. Had sqrt(x) been the radical term instead, it'd be an application of the power rule. This is equivalent to the radical expression moving to the numerator, and a linear expression multiplied out in front. Take the derivative, to get: (3*A*x + 2*A + B)/(2*sqrt(x + 1)) This tells us that: 3*A/2 = 3 (2*A + B)/2 = 4 Solution: A = 2, B = 4 Thus the solution is: (2*x + 4)*sqrt(x + 1) + C This method doesn't always work for integrals of this form, as they can also have inverse trig or logs as part of the solution. If that is the case, you'll have a degenerate system of equations when trying to solve for A & B.
@carultchАй бұрын
thats called engineering
@plant3341Ай бұрын
“Hospitals rule” 💀
@CalculusIsFun1Ай бұрын
I always pronounce it le hospitals rule
@santiagoriossmith2400Ай бұрын
It actually is lol
@ondrejsvihnos2311Ай бұрын
It's actually L'Hôpital's rule. The H is not pronounced and there's clearly no S.
@Dillon12Ай бұрын
@@ondrejsvihnos2311I think it’s like loe-pee-tal
@jessebalsam6475Ай бұрын
@@Dillon12*S at the end has left the chat*
@solifa129 күн бұрын
The most engineer video of all time
@andrewmichel2525Ай бұрын
fr tho, didn't mention anything like weierstrass substitution, riemann-stieltjes integrals, differentiation under the integral sign, sum-integral interchange, elliptic/fresnel integrals (which I concede are very engin-type integrals), residue theorem, mellin transform, green's theorem, hypergeometric series, etc. I get this was probably aimed at the calc I and II level but it's still a lot of oversight.
@romdotdogАй бұрын
which of these were done in calc I and II?@@romdotdog
@joshdeconcentrated2674Ай бұрын
@@joshdeconcentrated2674 all
@jonathancamina3149Ай бұрын
@@joshdeconcentrated2674 none of them lol
@romdotdogАй бұрын
@@romdotdog then how is it oversight for a calc II student to not know stuff from after calc II
@joshdeconcentrated2674Ай бұрын
I love hospitals rule and syringe substitution
@tripat_singh828Ай бұрын
u forgot the pharmacy law
@manmeh4rАй бұрын
@@manmeh4r the Migraine technique is the best
@Costin128926 күн бұрын
Lebesgue integral > everything else
@ceruxii3079Ай бұрын
Khinchin integral is better
@kwa2036Ай бұрын
Kurzweil Henstock integral is better
@castagnos509Ай бұрын
@@castagnos509Technically: The Pettis- and Bochner-integral are way superior because measure theory is, but touché on the singularity bit.
@aimsmathmatrixАй бұрын
differentiation better
@savitatawade2403Ай бұрын
I see lebesgue integral everywhere but how do you actually lebesgue integrate?
@doomslayer945727 күн бұрын
I added every trig identity I could find and wrote them down in my notes, EVEN THE TRIPLE ANGLE STUFF and therefore I am immune to trig integrals
@ianweckhorst3200Ай бұрын
bro just got back from 6hours of calc and stats at uni and this video made my day
@willclegg8191Ай бұрын
Love how we all agree that u substitution is the goat of integrals
@kendash7286Ай бұрын
You didn't include hyperbolic functions in your function video and that disgusts me
@duxm8446Ай бұрын
Reciprocal is the same thing I think btw, he didn't forget
@sholdrodcritАй бұрын
The absolute value of hyperbolic functions :
@serulu3490Ай бұрын
@@sholdrodcrit hyperbolic functions are sinh cosh tanh etc (made by taking averages of the exponential function) and happen to follow the same rules as trig with the difference that the pythagorean identity has - instead of + in the middle. afaik, this would make hyperbolic the same difficulty as trig its just annoying to remember which one to use depending on the sign. Reciprocal trig functions are sec cosec cot which you learn along with normal trig and arent the same as hyperbolic. You could say all of them fall into trig though
@jasimkunhi1543Ай бұрын
sorry :(
@KedronCLАй бұрын
Literally just some e^x
@wolfiegames1572Ай бұрын
Solving trig subs was always the most satisfying thing ever, even tho they’re annoying asf to me theyre s tier
@quazar807Ай бұрын
facts
@Mostafa.KoriemАй бұрын
This unironically gave me a much needed review on when to use each of the rules XD.
@user-lw5wi8su7rАй бұрын
L'Hôspital's rule is goated.
@totallynotpaul6211Ай бұрын
Best kind of your videos
@MainChannel9521Ай бұрын
One of these w/ multivariable calculus stuff would be dope‼️‼️‼️
@AJ-er9myАй бұрын
d(50)/dx out of 50. LMAOOOO
@debonreepdas2265Ай бұрын
💀💀💀💀💀 would be funny if our profs gave us that
@user-nu6zl6ct7wАй бұрын
@@user-nu6zl6ct7wimagine getting your test back and having to solve more calc problems to figure out your own score
@raven.petrichorАй бұрын
I love these videos so much as a math nerd these are amazing. Some ranking ideas: Trig identies Log properties 12 trig functions Math courses
@cookiemaster457922 күн бұрын
what about feymens technique
@RR-bs9mrАй бұрын
literally about to comment this. But technically didn't it originate with Leibnitz?
@instinx9154Ай бұрын
S tier
@yudoballАй бұрын
Yes Leibnitz made it but the actual improvement for practical use of the technique is done by Feynman@@instinx9154
@opawmgaming4861Ай бұрын
@@instinx9154bruh probably most of calc originated from him, but no one mentions him only time he was mentioned in my calc courses was in alternating symbol sums
@user-xj8qy9dj7tАй бұрын
This only considers Calc I and II techniques. Otherwise we could go beyond S tier with techniques involving special functions and Contour integrations
@obi584Ай бұрын
I should’ve watch this before my calculus exam
@user-sq8vu7wr7qАй бұрын
finding this chanel reminds me of why i left engineering school for good, thx bro
@skourthsgiaoyrths9610Ай бұрын
Awesome vid! You should do one with advanced techniques ie. Feynman’s Technique, undertow technique etc.!
@saraandsammyb.9599Ай бұрын
i remember use residue theorem to solve improper integral that cannot be solve in real domain and feel like a pro, nowdays im practically graduated in electrical engineer and i never use it after xd
@marcocariddi5726Ай бұрын
Me when I have to find the area of the shape formed by erf(x) and it's asymptote from zero to infinity (pretty cool excercise imo, the answer is 1/√𝝅)
@othila9902Ай бұрын
In stat, we have a very niche integration technique where if the integrand factorable into some constant and a probability density function, and the domain of integration is the support of the pdf, the integral evaluates to 1 and hence the value of the whole integral is the constant.
@rexcabingan1262Ай бұрын
Yeh thats a very niche type. You wont find integrals like that often
@obi584Ай бұрын
Only understood "pdf", the most familiar word here 😭
@godprozeeАй бұрын
@@godprozee If the integrand can be simplified into the form of a pdf (with some constant multiple) and the limits of integration coincides with the set of possible values of said pdf, then the integral evaluates to said constant. (Since the integral of a pdf gives the probability of a variable falling within a particular value, the probability of a variable falling withing the entire space/domain is 1, and hence the integral evaluates to 1 times some factored constant)
@obi584Ай бұрын
@@obi584 uhmmm actually I was talking about the pdf file format, not the pdf you are talking about, I have no idea what that pdf is 😭😭
@godprozeeАй бұрын
@@godprozee Ah shi🤣
@obi584Ай бұрын
Reduction formulae is useful for integrating high powers of trig functions
@martinfagbile9773Ай бұрын
Now do linear algebra theorem tier list pls
@Nick-qv6elАй бұрын
You didn't even include the technique with the residue theorem, which is the BEST technique for integrating in 2 lines impossible integrals
@nulenmaths8654Ай бұрын
Calc 1 and 2...
@obi584Ай бұрын
You forgot 1/1+x^4 What a neat trick that one is
@moving_knight28 күн бұрын
Ultimate technique: diffrentiate the options
@arkk947728 күн бұрын
i love how he defend the tier list 😂🙏
@randhyLeksu728828 күн бұрын
yeah i like hospital's rule too😄
@inevitable1222Ай бұрын
i know iam cooked when this videos appears on recommendations
@GlexzyАй бұрын
derivative tier list when
@feliblade1694Ай бұрын
They’re all s tier because they all work properly, maybe product rule A tier and quotient rule B tier
@FishStickerАй бұрын
Chain rule, everything's chain rule my. friend
@mrinaldhami5478Ай бұрын
@@mrinaldhami5478 chain and power rule ftw
@FishStickerАй бұрын
@@FishStickerquotient rule c tier at best
@NotBroihonАй бұрын
@@NotBroihon it's technically just product and chain rule though
@FishStickerАй бұрын
more tierlists URGENTLY!!!!!!!
@metindemirci5251Ай бұрын
Feynman's trick, where?
@luizalex.7424Ай бұрын
I would've included Weierstrauss substitution and places it in like Z tier
@carlosfelipecorreavelasco3768Ай бұрын
What about multi variable integrals.
@umbranocturna6342Ай бұрын
I expected a ranking of Newton-Leibnitz integral vs Riemann, Riemann-Stieltjes, Ito integrals etc. Still cool video though.
@sebikusikАй бұрын
same, naming your channel name "integrator" is an interesting choice given the level
@romdotdogАй бұрын
fair enough but i can name my channel whatever i want
@KedronCLАй бұрын
we all start from somewhere
@KedronCLАй бұрын
@@KedronCL you're arguing with nobody at this point haha
@romdotdogАй бұрын
👍
@KedronCLАй бұрын
I both have friends and am learning integral calculus, I therefore accept that I am insane
@ianweckhorst3200Ай бұрын
No Cauchy residue theory, this makes the video got in to F tier
@raycotter9558Ай бұрын
You're as a mathemetician as my dog.
@MinecraftForever_l28 күн бұрын
I miss this simple math
@frantisekmoravec7317Ай бұрын
Bro didn't even bring up the hell that is Bose Integrals
@thetachyon456Ай бұрын
what uni do you go to? i go to mcgill and what you’re saying about the courses matches up exactly with calc 2 here at mcgill. i know that these courses aren’t regulated across different unis so i was curious
@zmarc-Ай бұрын
I go to Tmu (Ryerson) in Toronto. What program are you in?
@KedronCLАй бұрын
@@KedronCL comp sci
@zmarc-Ай бұрын
i study in russia, it’s almost the same for me. although there are other methods, they are specific for similar integrals
@kototototototototototototototoАй бұрын
should’ve include tabula the superior ibp technique
@kstchl35Ай бұрын
Why I'm i even here i have an electrical machines exam tommorw,i finished calculas for more than a year
@king_zuhair3208Ай бұрын
F tier: improper integrals via complex residues
@ArsParfenovАй бұрын
no vector integrals?
@pequlal169Ай бұрын
Cool
@Winty31-Winty31Ай бұрын
so we all taking calc 2 now huh
@chrisrey0018Ай бұрын
U-sub is the best integral to use when you want to pick up a nerdy crush: Me: Let's do some integration by substitution Crush: Why? Me: Because I want to replace all my x's with u
@BBQsquirrelАй бұрын
Qhat about Riemann stieltjes integral?
@sumansemwal4981Ай бұрын
No iterated integrals? Theyre funny little guys
@plant3341Ай бұрын
Dude, trig subs are actually one of the most practical to master when you started learning calculus. When you go further, learning about polar coordinates this shit is just trig subs on steroid but also the most practical coordinate system. So yeah,kids, do your trigsubs, it's good for you in the long run. Don't do integration by part, it's for people who can't do better form of integration
@nghiatrantrung83414 күн бұрын
cool video > video
@MesutMGАй бұрын
Upset that integration by parts isnt S tier. IBP carries ODEs by a mile.
@afrolichesmain777Ай бұрын
integration by parts is goated af
@danielnelson6131Ай бұрын
no Ln rule?
@biubiu-dt4huАй бұрын
I like this shitpost videos of calculus
@TARRSSАй бұрын
with trig substitution you can integrate in a few work day xd
@sabaticАй бұрын
Riemann integrals are easily F tier. Outside of a basic calc scenario, you'd see Lebesgue, Ito, or Steiljes integrals. Riemann integrals are clunky and restrictive. Also as an actual integration technique it becomes intractable pretty fast
@RomanNumural9Ай бұрын
Integrals destroyed my love for calculus 💔
@turki779Ай бұрын
I was telling my brother statistic is built off of calculus but he wouldn't believe me. Am I wrong or is he ignorant?
@user-mt5uu4pz4jАй бұрын
naw, S tier was made for trig sub and integral by parts
@friendly_sitieАй бұрын
No Feymann's Technique?????
@TschumiQu13 күн бұрын
i hate anything in math involves trig knowledge, really hate that i have to know 10 different identities of cos2x
@senatorimamoglu3888Ай бұрын
mathematician tier list when
@At-210Ай бұрын
Soon
@KedronCLАй бұрын
Disappointed you did not include non-elementary integrals like integrals of e^-x^2, or cos(x^2). This does not mean there are no solutions you can find the area of non-elementary integrals using Taylor series, and integrating the Taylor series representation of the non-elementary function term by term to increase accuracy.
@maxpopkov1432Ай бұрын
Cosx² i see some complex numbers there
@adityajha2889Ай бұрын
@@adityajha2889 no complex numbers involved
@maxpopkov1432Ай бұрын
I have not used those so it would not be fair of me to rank them
@KedronCLАй бұрын
@@maxpopkov1432I assume you are talking about the differentiation under the integral sign ft Laplace transform solution? More often than not it is done using contour integration though
@NintendoGamer789Ай бұрын
@@NintendoGamer789 no I’m talking about integrating the respective functions Taylor series expansion term by term to increase accuracy for computing area.
@maxpopkov1432Ай бұрын
you didn't include feynman's technique. An S tier, solves (some) definite integrals otherwise impossible also the king's property.
@ishansasmal459125 күн бұрын
0:26 that means 0/50
@zxtremedemon289523 күн бұрын
Where is the feynman technique
@maximuller5548Ай бұрын
But would you integrate?
@jeffreyliu2289Ай бұрын
Nah, I'd win
@karolissad.4270Ай бұрын
nah i'd differentiate
@KedronCLАй бұрын
0:00 I am the first two
@haronkaАй бұрын
Integration itself is F tier
@Alex-ng1tsАй бұрын
Would have to disagree. It's like solving a puzzle and it's satisfying when you get it right. That being said when ur stuck ur stuck and its really annoying.
@KedronCLАй бұрын
TABULAR INTEGRATION >>>>>>>>>>>>>>
@lilgrimy6655Ай бұрын
DI METHOD FTW
@nezutoch.1175Ай бұрын
Bro you dont need matrices to solve that problem 4:17, hahahahahah.
@split985328 күн бұрын
Integration by parts is definitely F tier
@ardaali825329 күн бұрын
long division and partial fractions are the same method lil bro
For all you 🤓🤓. These techniques are from calc two and below so I don't wanna hear some very specific thing you learned for a week in complex analysis.
LMFAOOO
A lot of advanced integration theory also comes from measure theory, which isn't really from complex analysis - but a course / topic in and of itself that deserves its recognition tbh
math 505 has some nice stuff, there are way more methods lol
The ultimate integration technique: Guessing
That's called integration by differentiating the Ansatz. You guess the form of the integral result, with undetermined coefficients, then differentiate, and then match coefficients to the original integrand.
@@carultchundetermined coefficients. Like the differential equations one?
@@FirstnameLastname-bx4zk Similar to it, yes. In a way, it is a solution to a diffEQ, where dy/dx = the given integrand. Here's an example. Consider: Integral (3*x + 4)/sqrt(x + 1) dx Assume the solution has the form: (A*x + B)*sqrt(x + 1) Why? Because we know the net exponent on each x-term, must increase by 1, due to the process of integration. Had sqrt(x) been the radical term instead, it'd be an application of the power rule. This is equivalent to the radical expression moving to the numerator, and a linear expression multiplied out in front. Take the derivative, to get: (3*A*x + 2*A + B)/(2*sqrt(x + 1)) This tells us that: 3*A/2 = 3 (2*A + B)/2 = 4 Solution: A = 2, B = 4 Thus the solution is: (2*x + 4)*sqrt(x + 1) + C This method doesn't always work for integrals of this form, as they can also have inverse trig or logs as part of the solution. If that is the case, you'll have a degenerate system of equations when trying to solve for A & B.
thats called engineering
“Hospitals rule” 💀
I always pronounce it le hospitals rule
It actually is lol
It's actually L'Hôpital's rule. The H is not pronounced and there's clearly no S.
@@ondrejsvihnos2311I think it’s like loe-pee-tal
@@Dillon12*S at the end has left the chat*
The most engineer video of all time
fr tho, didn't mention anything like weierstrass substitution, riemann-stieltjes integrals, differentiation under the integral sign, sum-integral interchange, elliptic/fresnel integrals (which I concede are very engin-type integrals), residue theorem, mellin transform, green's theorem, hypergeometric series, etc. I get this was probably aimed at the calc I and II level but it's still a lot of oversight.
which of these were done in calc I and II?@@romdotdog
@@joshdeconcentrated2674 all
@@joshdeconcentrated2674 none of them lol
@@romdotdog then how is it oversight for a calc II student to not know stuff from after calc II
I love hospitals rule and syringe substitution
u forgot the pharmacy law
@@manmeh4r the Migraine technique is the best
Lebesgue integral > everything else
Khinchin integral is better
Kurzweil Henstock integral is better
@@castagnos509Technically: The Pettis- and Bochner-integral are way superior because measure theory is, but touché on the singularity bit.
differentiation better
I see lebesgue integral everywhere but how do you actually lebesgue integrate?
I added every trig identity I could find and wrote them down in my notes, EVEN THE TRIPLE ANGLE STUFF and therefore I am immune to trig integrals
bro just got back from 6hours of calc and stats at uni and this video made my day
Love how we all agree that u substitution is the goat of integrals
You didn't include hyperbolic functions in your function video and that disgusts me
Reciprocal is the same thing I think btw, he didn't forget
The absolute value of hyperbolic functions :
@@sholdrodcrit hyperbolic functions are sinh cosh tanh etc (made by taking averages of the exponential function) and happen to follow the same rules as trig with the difference that the pythagorean identity has - instead of + in the middle. afaik, this would make hyperbolic the same difficulty as trig its just annoying to remember which one to use depending on the sign. Reciprocal trig functions are sec cosec cot which you learn along with normal trig and arent the same as hyperbolic. You could say all of them fall into trig though
sorry :(
Literally just some e^x
Solving trig subs was always the most satisfying thing ever, even tho they’re annoying asf to me theyre s tier
facts
This unironically gave me a much needed review on when to use each of the rules XD.
L'Hôspital's rule is goated.
Best kind of your videos
One of these w/ multivariable calculus stuff would be dope‼️‼️‼️
d(50)/dx out of 50. LMAOOOO
💀💀💀💀💀 would be funny if our profs gave us that
@@user-nu6zl6ct7wimagine getting your test back and having to solve more calc problems to figure out your own score
I love these videos so much as a math nerd these are amazing. Some ranking ideas: Trig identies Log properties 12 trig functions Math courses
what about feymens technique
literally about to comment this. But technically didn't it originate with Leibnitz?
S tier
Yes Leibnitz made it but the actual improvement for practical use of the technique is done by Feynman@@instinx9154
@@instinx9154bruh probably most of calc originated from him, but no one mentions him only time he was mentioned in my calc courses was in alternating symbol sums
This only considers Calc I and II techniques. Otherwise we could go beyond S tier with techniques involving special functions and Contour integrations
I should’ve watch this before my calculus exam
finding this chanel reminds me of why i left engineering school for good, thx bro
Awesome vid! You should do one with advanced techniques ie. Feynman’s Technique, undertow technique etc.!
i remember use residue theorem to solve improper integral that cannot be solve in real domain and feel like a pro, nowdays im practically graduated in electrical engineer and i never use it after xd
Me when I have to find the area of the shape formed by erf(x) and it's asymptote from zero to infinity (pretty cool excercise imo, the answer is 1/√𝝅)
In stat, we have a very niche integration technique where if the integrand factorable into some constant and a probability density function, and the domain of integration is the support of the pdf, the integral evaluates to 1 and hence the value of the whole integral is the constant.
Yeh thats a very niche type. You wont find integrals like that often
Only understood "pdf", the most familiar word here 😭
@@godprozee If the integrand can be simplified into the form of a pdf (with some constant multiple) and the limits of integration coincides with the set of possible values of said pdf, then the integral evaluates to said constant. (Since the integral of a pdf gives the probability of a variable falling within a particular value, the probability of a variable falling withing the entire space/domain is 1, and hence the integral evaluates to 1 times some factored constant)
@@obi584 uhmmm actually I was talking about the pdf file format, not the pdf you are talking about, I have no idea what that pdf is 😭😭
@@godprozee Ah shi🤣
Reduction formulae is useful for integrating high powers of trig functions
Now do linear algebra theorem tier list pls
You didn't even include the technique with the residue theorem, which is the BEST technique for integrating in 2 lines impossible integrals
Calc 1 and 2...
You forgot 1/1+x^4 What a neat trick that one is
Ultimate technique: diffrentiate the options
i love how he defend the tier list 😂🙏
yeah i like hospital's rule too😄
i know iam cooked when this videos appears on recommendations
derivative tier list when
They’re all s tier because they all work properly, maybe product rule A tier and quotient rule B tier
Chain rule, everything's chain rule my. friend
@@mrinaldhami5478 chain and power rule ftw
@@FishStickerquotient rule c tier at best
@@NotBroihon it's technically just product and chain rule though
more tierlists URGENTLY!!!!!!!
Feynman's trick, where?
I would've included Weierstrauss substitution and places it in like Z tier
What about multi variable integrals.
I expected a ranking of Newton-Leibnitz integral vs Riemann, Riemann-Stieltjes, Ito integrals etc. Still cool video though.
same, naming your channel name "integrator" is an interesting choice given the level
fair enough but i can name my channel whatever i want
we all start from somewhere
@@KedronCL you're arguing with nobody at this point haha
👍
I both have friends and am learning integral calculus, I therefore accept that I am insane
No Cauchy residue theory, this makes the video got in to F tier
You're as a mathemetician as my dog.
I miss this simple math
Bro didn't even bring up the hell that is Bose Integrals
what uni do you go to? i go to mcgill and what you’re saying about the courses matches up exactly with calc 2 here at mcgill. i know that these courses aren’t regulated across different unis so i was curious
I go to Tmu (Ryerson) in Toronto. What program are you in?
@@KedronCL comp sci
i study in russia, it’s almost the same for me. although there are other methods, they are specific for similar integrals
should’ve include tabula the superior ibp technique
Why I'm i even here i have an electrical machines exam tommorw,i finished calculas for more than a year
F tier: improper integrals via complex residues
no vector integrals?
Cool
so we all taking calc 2 now huh
U-sub is the best integral to use when you want to pick up a nerdy crush: Me: Let's do some integration by substitution Crush: Why? Me: Because I want to replace all my x's with u
Qhat about Riemann stieltjes integral?
No iterated integrals? Theyre funny little guys
Dude, trig subs are actually one of the most practical to master when you started learning calculus. When you go further, learning about polar coordinates this shit is just trig subs on steroid but also the most practical coordinate system. So yeah,kids, do your trigsubs, it's good for you in the long run. Don't do integration by part, it's for people who can't do better form of integration
cool video > video
Upset that integration by parts isnt S tier. IBP carries ODEs by a mile.
integration by parts is goated af
no Ln rule?
I like this shitpost videos of calculus
with trig substitution you can integrate in a few work day xd
Riemann integrals are easily F tier. Outside of a basic calc scenario, you'd see Lebesgue, Ito, or Steiljes integrals. Riemann integrals are clunky and restrictive. Also as an actual integration technique it becomes intractable pretty fast
Integrals destroyed my love for calculus 💔
I was telling my brother statistic is built off of calculus but he wouldn't believe me. Am I wrong or is he ignorant?
naw, S tier was made for trig sub and integral by parts
No Feymann's Technique?????
i hate anything in math involves trig knowledge, really hate that i have to know 10 different identities of cos2x
mathematician tier list when
Soon
Disappointed you did not include non-elementary integrals like integrals of e^-x^2, or cos(x^2). This does not mean there are no solutions you can find the area of non-elementary integrals using Taylor series, and integrating the Taylor series representation of the non-elementary function term by term to increase accuracy.
Cosx² i see some complex numbers there
@@adityajha2889 no complex numbers involved
I have not used those so it would not be fair of me to rank them
@@maxpopkov1432I assume you are talking about the differentiation under the integral sign ft Laplace transform solution? More often than not it is done using contour integration though
@@NintendoGamer789 no I’m talking about integrating the respective functions Taylor series expansion term by term to increase accuracy for computing area.
you didn't include feynman's technique. An S tier, solves (some) definite integrals otherwise impossible also the king's property.
0:26 that means 0/50
Where is the feynman technique
But would you integrate?
Nah, I'd win
nah i'd differentiate
0:00 I am the first two
Integration itself is F tier
Would have to disagree. It's like solving a puzzle and it's satisfying when you get it right. That being said when ur stuck ur stuck and its really annoying.
TABULAR INTEGRATION >>>>>>>>>>>>>>
DI METHOD FTW
Bro you dont need matrices to solve that problem 4:17, hahahahahah.
Integration by parts is definitely F tier
long division and partial fractions are the same method lil bro
trig integrals are automatically F tier.
all my homies hate trig sub
bruh i am fucked
contour integration where smh
Riemann Sum is NOT what an integral is
🤓🤓
cool channel ❤👍
S++ tier: numerically evaluating integrals
Only acceptable if you do it by hand
Use your own voice
calc 2 nerd get gud
AI text to speech 👎
I love hospitals rule and syringe substitution