Kim K on definite integrals using the antiderivatives

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Onlock

Күн бұрын

Пікірлер: 102

@Blue_Cubes_silly_animations 8 ай бұрын

Really unique and effective way of teaching. Hope this channel blows up.

@onlocklearning 8 ай бұрын

appreciate this sm

@noahpolicarpio1530 7 ай бұрын

Never thought I'd binge watch Calculus videos but here we are

@TurdBoi666 8 ай бұрын

This channel is goated bro keep it up

@onlocklearning 8 ай бұрын

thanks sm bro

@Faroshkas 8 ай бұрын

Wait why had no one taught me that the indefinite integral actually has some graphical interpretation 😭😭😭 This channel is so good though

@georgetornea8045 8 ай бұрын

It's the definite integral that is the area between the bounds on the graph. You can also calculate volumes using integrals

@Faroshkas 8 ай бұрын

@@georgetornea8045 I know that

@noobwasnttaken 8 ай бұрын

No one has?

@Faroshkas 8 ай бұрын

@@noobwasnttaken Yeah, and worst part is I asked. Well, at least it didn't take too long for me to satisfy my doubt. That is the problem I'm noticing with Khan Academy now that I'm starting taking classes that are a bit more advanced: He seems to want to keep the lessons short and compact, but sometimes, a long ass lecture is just what we need lol. I guess I should start studying through new sources as well. I don't think I'm going to do LA, DE and MC there... Maybe I'll do the exercises, who knows.

@noobwasnttaken 8 ай бұрын

@@Faroshkas agreed. Long lectures are generally better than 9-10 minutes lecture with only one topic and 1 illustration.

@notdaycrucial5179 8 ай бұрын

this channel is so good

@KennytheHedgehog619 2 ай бұрын

honestly that visual representation of integrals helped me so much in remembering all this stuff. Took all the Cal courses like 7 years ago and going back to school now so its actually useful to know

@aitorvicente5672 8 ай бұрын

obsessed with these

@sebastiangilramos1055 8 ай бұрын

Bro, these videos are awesome, I always say I hate maths but I enjoy a lot watching your videos

@igorras-ff7oe 8 ай бұрын

I shared this to my friend. These videos are valuable

@Torstenr16 8 ай бұрын

Comment for the algorithm. Awesome shit bro, keep it up

@onlocklearning 8 ай бұрын

thanks bro

@aceofaces1944 8 ай бұрын

I finished all 3 of my calculus classes not too long ago and really struggled with 3d integration and series so I just wanna say your channel is really cool and I wish I had a resource like this it would’ve made call 2 and 3 way way easier. Keep going bro and if you can can you have Travis Scott explain some aviation concepts? I study aerospace engineering and he’s my favorite artist

@onlocklearning 8 ай бұрын

Bro yesss that’d be sick I can do some 3d animations for it too, will be so sick!

@aceofaces1944 8 ай бұрын

@@onlocklearning absolute GOAT can’t wait man

@MessyMasyn 8 ай бұрын

@@onlocklearning the excitement you have for making content is staggering

@sophisticatedblob3820 3 ай бұрын

This is so cool. I think I’m learning this stuff right now. We just learned Reimann Sums and I’m pretty sure we’re gonna learn this next. Please keep making these man 🙏.

@NXT_LVL_DVL 8 ай бұрын

I want cardi B calculus

@shadowking773 7 ай бұрын

CardiBulous

@Mukta-bd6wx 8 ай бұрын

Thanks a lot bruh this is awesome

@f1reguy587 8 ай бұрын

I vaguely remember this math, but its proven that i have never once needed this, what i do need is how to draw a circle on a 20 to 40 degree roof when viewed from a vertical. I have my ways of doing it, but it can be done with maths

@spiderjerusalem4009 8 ай бұрын

Tell taylor to elucidate taylor expansion

@hectorurdiales4570 8 ай бұрын

Already done kzbin.info/www/bejne/nZ3YfqammsinrsUsi=oNfJ5njLSer0r2oR

@anassgamer3253 7 ай бұрын

thanks bro

@kazamabruno4722 8 ай бұрын

Love these videos. Pls make some with snoop

@onlocklearning 8 ай бұрын

coming bro ;))

@mlgswagman6002 8 ай бұрын

unfortunately I dont think its correct to say that an antiderivative's value at some x is always the definite integral from some unknown value to x. Consider f(x) = 2x. No matter what the lower bound is (denoted by a), integral from a to 0 is always negative or 0. x^2 + 5 is an antiderivative of 2x, but it is strictly positive at 0, meaning it cant represent some area from an undefined start point to 0...

@random22453 8 ай бұрын

The flaw in this is assuming that, that point is negative. It can very well be positive

@mlgswagman6002 8 ай бұрын

@@random22453 Do you mind elaborating on what you mean, I'm not sure what you mean by the fact that i assumed "that point is negative"? I never make any assumptions about a specific value of f being negative if that is what you mean. If you are referring to: "Consider f(x) = 2x ... integral from a to 0 is always negative or 0." This is simply a true fact, you can't find an a to make that integral positive (note i am specially talking about integrating x with upper bound 0).

@random22453 8 ай бұрын

@@mlgswagman6002 my bad i misread your comment

@random22453 8 ай бұрын

i understand what you mean now. This area definition only works if the antiderivative has the entire real axis as the range. edit: but even then it fails for functions with resitricted domains

@hinata5736 3 ай бұрын

I don’t really understand your example, but his explanation was indeed incorrect. If you just plug in the upper bound into the integral you get the area from x = 0 to the upper bound. If the upper bound is greater than 0 the value is positive otherwise it’s negative (then you would have to multiply it by -1 to get the real, positive area)

@solorealm 8 ай бұрын

I am way past the age of learnimg maths, because i have a job, but subbed for the efforts

@Aivo382 8 ай бұрын

One correction: The constant C actually takes the value of the negative antiderivative inferior limit

@MdAnan8536 8 ай бұрын

Can you please make a detailed video on how to find the F(x) while integrating, like your derivative first rule principle.

@stephenkelly2648 8 ай бұрын

Hilarious, great work!

@ThMrksman 7 ай бұрын

wtf I love math now

@blazyegamer 6 ай бұрын

Where is background music 😢

@ssergium.4520 8 ай бұрын

What I’m curious about is where the x^3/3 came from.

@sumawolf3807 8 ай бұрын

In order to evaluate the definite integral representing the area of y = x² from x = 0.2 to x = 0.6, you need to find the antiderivative of y (this wasn't shown in this video!). However, the antiderivative of y was found to be Y = x³/3, and this was found by using what's called the "reverse power rule". It requires you to add +1 to the exponent of the term and divide the term by that new exponent to find the antiderivative of a polynomial term. Here's how it was applied: y = x² (Antiderivative) Y = [x^(2 + 1)]/(2 + 1) = x³/3 I hope this helps!!

@anatolydyatlov963 8 ай бұрын

Wow, I didn't know she's so good at maths! 😅 Makes me motivated to actually learn it (the first part is a joke ofc, and it's sad that I need to include this info here)

@RaeTantalizes 8 ай бұрын

u didnt need to include the extra info? we could all tell

@anatolydyatlov963 8 ай бұрын

@@RaeTantalizes From experience I can tell there's always someone who doesn't understand even the simplest of jokes

@rupom_1670 7 ай бұрын

Is the undefined part dependent on the C value? As in if we ever input a specific value then do we start calculating the area from a fixed point

@friedrichmyers 8 ай бұрын

0.693, huh? That's also ln2 if I'm not wrong. Interesting.

@idlesquadron7283 8 ай бұрын

The result in the video was 0.0693, but yeah that's interesting

@friedrichmyers 8 ай бұрын

@@idlesquadron7283 Ok, then it is ln(2^(1/10)) then

@sagarsondarva643 8 ай бұрын

Wait, is this real? AI? Or some other tricks i don't know..?

@ankitsarkar652 8 ай бұрын

It's ai

@sagarsondarva643 8 ай бұрын

@@ankitsarkar652 thanks, i thought Kim K and Jake Paul were actual geniuses...

@MessyMasyn 8 ай бұрын

@@sagarsondarva643 you can be a genius too if you sub for more videos

@f1reguy587 8 ай бұрын

Im not convinced she is… but she would have been sent to very good schools. These people struggle to do alot of things. But maths is money, they do money. This might just be a biproduct of plotting interest, and investments etc…ive never found a use for this math, maybe i should revisit it to be sure.