Areas by Integration (1 of 6: Basic area under curve)

[@Cpt_MacTavish]

Mr Eddie Woo, you're such an amazing tutor, I wish I had a teacher like you when I was younger. I'm studying Biomedical Engineering in University right now but I keep coming back to watch your videos because they're so engaging, enlightening, and entertaining. I'm discovering things about math I was always puzzled by. Even at this level, as you know, mathematics never ends. I'm really glad there are youths out there that will grow up with your knowledge in their minds.

[@amrosawa7143]

I agree with you on every level, Im struggling with a similar issue as you are due to how poorly I was educated in mathematics growing up. This led to bigger issues for me though where I still struggle in basic mathematics like simplification, substitution and factorization among many many others. After graduating from university studying accounting, I struggled heavily with basic mathematics and calculus courses but still managed to pass eventually. I really want to get better at maths although it’s completely unrelated to my line of work. Still, I have no idea where to start, would love to hear how you went on about this. Thank you for reading!!

[@Cpt_MacTavish]

@@amrosawa7143 I'm glad to hear you're taking an interest in math. Maybe start from the basics, strengthen your foundations there and then move to more complicated topics gradually. Thankfully there are a lot of KZbin videos on various topics in math so finding them should not be hard. And if you're having problems with one you can always search and find another video that explains the topic better

[@amrosawa7143]

@@Cpt_MacTavish That sounds like plan! Thanks for the advice!! ⭐️

[@yourfriend9222]

kzbin.info/www/bejne/jXuVYpmKq8-Jrc0

[@gingerdude4014]

I don't see how people can dislike your videos. It's free and fantastic mathematics education, done by a great and enthusiastic teacher. And many of these videos are fun and interesting like the one explaining how 0! = 1.

[@mparagames]

Yes, i remember i watched that one abou 4 years ago, it was truly legendary

[@Masowe.]

when you are a maths student on a difficult day before mocks looking for something different you feel disappointed at anything that does not answer your question and dislike it. I have done it to some videos that i later found helpful

[@AL-wc8oy]

Wow the students are so lucky having this kind of professor. So vibrant and intelligent. Whilst me I cannot understand a single thing from my teacher 😪

[@dr.strangelove9815]

Far superior to my old professor in college. My old professor would stare at the class, zone out, write as fast as he could, then erase it.

[@Masowe.]

@@dr.strangelove9815 hehehe, my tutor teaches the example in the textbook and give you work to do lol

[@apekat5381]

The accent on top of the jollyness and vibrancy he gives off, the passion for mathematics!! Much love

[@svunomncibi4640]

Learned alot in this video 1)Journaling your trades 2)Accepting your losses(embrace your risk). 3)Your competition is yourself in this industry. 4) Always willing to become a student 5) Be humble at all times. 6) Stick to the process.

[@MyMathsAdventure]

The biggest mistake in my life: forgetting the ‘C’ in the constant of Integration 🤦🏻‍♂️

[@jeffreylebowski4927]

Thats the biggest mistake in your life? If thats true i envy you.

[@harshdarji1122]

man I feel ya! I literally have a sticky not on my wall which says 'ADD INTEGRATION CONSTANT (+C)!!!' in big. Its so annoying when you screw up a problem because of such a little detail!!!!!

[@AL-wc8oy]

Me too😂

[@petereziagor4604]

Nonsense, when they're bounds, it's unnecessary putting the constant

[@soothingbromides]

haha, it cancels, so I wouldn't bother adding it anyway

[@RowardRowapore]

I bet you're the best. Your explanation is very simple and easy to understand. Thanks.

[@pacheco7421]

hi teacher, i'm a student from brazil, and i watch your videos and learn a lot from you, thanks

[@karissahayes4570]

If I had you as my math teacher I would have been happy to log into class 😔

[@joshuaking1502]

𝐒𝐮𝐫𝐞🤓

[@nutritionbyelsa]

Eddie Woo you got the best energy out here man! I love these videos and I feel a lil more excited about math after I watch... could it be that you are making math fun (gasp) big thanks!

[@zulfiqarali338]

Lets get this man to 1Mill, you deserve it

[@Z4rgabad]

You are a great teacher. Many teachers can do but not teach

[@anansii9140]

you explained this so quick and easy, thank you

[@vanessasenna2777]

Estou amando assistir suas aulas, obrigada por fazer parte da minha formação ;)

[@danmohamed7982]

Very nicely presented notes 👍🏽

[@fatmahkodi9546]

This was so useful sir so thanks so much things have never been more clear for me

[@tambuwalmathsclass]

My mentor 👍

[@surajjani4868]

So, awesome explanation sir

[@minhmouse]

You are about to go to 1 million subs!!!!!!!!!!!

[@Nasiizulu]

why can't my lecturer be this happy when teaching maths?? :(

[@theassassin8317]

Mine looks like hes 2 minutes away from committing mass genocide, reviving hitler and then jumping off a cliff :/

[@elisepark6123]

you definitely deserve likes

[@gracerotich6536]

I have seen you on a Da Vinci, as a child…nice.

[@madgaming810]

very clear explanation thank you

[@hamzavanderross1235]

My name is Hamza. When I heard him say my name at 2:03 I got such a shock!

[@scorpion3551trading]

💥 mind blowing

[@its22dm1]

Fantastic video, do you have a more detailed explanation of _why_ integrating area under a curve gives area ?

[@carultch]

Because that's the way we define integrating. As for why anti-derivatives work as a strategic way to evaluate integrals, it's called the fundamental theorem of Calculus.

[@johnryder1713]

X factor, well we all know who has the x- factor for teaching Math

[@Elixir_JPGG]

But wat does X equal in that equation

[@johnryder1713]

@@Elixir_JPGG X=Eddies a genius

[@HiThere-ws2vg]

I love your work!

[@mondalassociates1146]

Thanks for this videos teacher.

[@zpoxy]

Dammit.... He makes math so interesting ❤️

[@markitsche987]

I like this one. Thanks

[@samrraeaskari7334]

I wish I was in his class🥺🥺🥺💕💕💕

[@jamesfeguson3445]

Was a massive help, thank you!

[@axansimilien9402]

Make it so easy!!!! Thanks Eddie!

[@annekashelley1255]

i was working along to my own questions and I accidentally went off on one and did ur question instead :(

[@tambuwalmathsclass]

Factors indicate the roots of graph

[@liltreve]

So just to clarify the integrals you put at the top and bottom are basically are x-intercepts

[@TheEmeraldKidRE]

No.

[@mrzronnnnn5620]

You're awesome sir

[@thetongueee1]

Thank you!

[@oghenetegaakeni1863]

very helpful🤗

[@MrRadbadger]

Fully sic bro

[@tambuwalmathsclass]

Upon down parabola

[@fallofmanbrand]

nice video bro

[@jaylordliquigan2594]

ty sir

[@وريانهاد]

Which tools or program you use for writing ??? good luck

[@jasonnbaek]

thank you sm

[@doctomath8636]

Sir do you teach online?? I want attend your classes...

[@abdelrahmanelsherbini4985]

Damn wish my teacher could come close to this

[@امسيرين-ك9ه]

How do you know the shape of functions?

[@philosophertiger4124]

time to get through calc 2

[@jacqueslapointe4663]

have a parabola 20m high and 4o m wide i tried youur method ad it does not work the answer is 533 m

[@anilkumarsharma8901]

show in general terms only in coefficients terms ???

[@shamsheralam2300]

UL=3,LL=0

[@Vanessamashia]

lower will be 0 and upper will be 3

[@ibrahimifham6920]

What app and device are you using to explain these? It looks nyc

[@santoshrchandra]

+1

[@diegoferia]

Could you please what kind of software or whiteboard do you use? Thank.

[@danmohamed7982]

This is Notability being used on an iPad. I've used it for a few months, and it seems a really good app 👍

[@darshantl18]

How you draw graph like this?

[@jorgeluiscalderongonzalez5392]

Im in 3rd grade and this is easy for me 👁👄👁

[@protickkhandkar]

If we get this PDF that will be helpful for us.

[@SadharanLadkaIsBack]

Sure drive.google.com/file/d/13dXHVFa6kzlQAA7-KhYzJd5JQPt60UT5/view?usp=sharing

[@PhysicsFunwithDharmeshKareliya]

It's parabola

[@manjumanl5279]

Sir would you mind doing ,some Laplace , Fourier Transforme ?

[@kendricklamarofthe7seas490]

damn, the tongue flicks

[@houcinemerzougui1279]

Mr. Can u tell by what can i begin to be an expert in maths?

[@thabisombingo9649]

This guys is always savoring and swallowing its wierd

[@asmallguy6124]

his videos are quite informative, but I just cringe at him calling (possibly) non-existent students with common names

[@Ahmed7255]

Hi, which software are you using for this white paper?

[@nazurahsyaffiyahbaso9791]

i think he's using notability on Ipad

[@alaknandakathar4590]

I saw ur all quadriatic equation video but didn't got my answer 81x⁴-72x³+px²-8x+1 is a perfect square then 'p' is

[@امسيرين-ك9ه]

measured in meters؟؟؟

[@cradleblaze3491]

Sry but I didn't expect that accent but thanks a lot

[@sunreetdheer4965]

I think I came to the wrong video I’m in year 7 😂😂😂

[@jefrybaroi3711]

Sir I wanted to know about the constant c after integration. I am in a mess pleaseee😢😢

[@carultch]

The idea is that there is a family of infinite functions, that share the same derivative, and for continuous functions, they only differ by a single offset constant. This is why when finding the indefinite integral, you always add +C to the end of your answer. We can call it anything we want, but because constant starts with a C, the de-facto name for it is C. Some applications, like repeated integrals, will require you to carry multiple constants of integration, and you'll end up with integral of integral of F(x) dx dx = G(x) + c1*x + c2, as your indefinite repeated integral. An application of this is kinematics, where you know acceleration as a function of time, and you want to find position as a function of time. You need to know initial velocity and initial position, to solve for c1 and c2. If you are doing an indefinite integral, you add +C at the end. If you are doing a definite integral with limits of integration, the C's will ultimately cancel, and it doesn't matter whether you included the +C or not.

[@carultch]

It gets more complicated when you have discontinuities. For instance, integral of 1/x dx. Most classes will teach you to solve this as ln(|x|) + C, and call it a day. However, the actual answer is piecewise of ln(-x) + C for x0. Because I can independently shift both the positive and negative halves of the graph, and still have the same derivative. This is beyond what most instructors expect of you, and a simple +C is good enough for most practical applications. You can't really carry out integrals across discontinuities anyway, so it is rare that the difference will govern an application of the integral.

[@امسيرين-ك9ه]

in real life????

[@viveksaini8839]

Hello sir

[@phantrash406]

Eddie woo

[@瘋狂是真實的]

Hello

[@johnsonboy]

My guy, will you please replace my instructor(s) please? Thank you

[@muhammadhumayunkabir4083]

In which software are u writing?

[@kennedyngituyu3443]

use fewer words 🙏🏾🙂

[@aleksszukovskis2074]

can you do programming please?

[@kageyama-kun1744]

What? You have Sasha Braun as your student?

[@asmallguy6124]

pretty sure it was Sasha Knox

[@petereziagor4604]

Lol

[@namansingla2975]

Is it only me or he just covers the same topics again and again?!

[@沈博智-x5y]

This time instead of just giving an integral, the question is worded in a different way. Thus, he is trying to teach his students that although a question may be worded with "find an area", they can use integrals to assist to find an area. When just given an integral, your output should just be a number. However, if the question said "find an area", you use integrals to help you get the "value" of the answer then in another line, say something like: Therefore, the area is _ units^2 (obviously if there were specific units like metres, then say m^2 etc....). In a nutshell, he's just following the NESA Mathematics Advanced syllabus dot points.

[@blessatorres5745]

The pronunciation 😬

[@nicnica6311]

Oh fuck this , imma mop floors for for McDonald's or open doors at a hotel either ways at least I won't go insane with this nonsense shit