Finding The Area Using The Limit Definition & Sigma Notation
ฝัง
- เผยแพร่เมื่อ 8 มี.ค. 2018
- This calculus video tutorial explains how to find the area using the limit definition with sigma notation and summation formulas.
Antiderivatives: • Antiderivatives
Basic Integration Problems:
• Basic Integration Prob...
Indefinite Integral:
• Indefinite Integral
Definite Integral:
• Definite Integral
Differential Equations:
• Finding Particular Sol...
_______________________________
Properties of Definite Integrals:
• Properties of Definite...
Rectilinear Motion Problems:
• Rectilinear Motion Pro...
Sigma Notation - Calculus:
• Summation Formulas and...
Riemann Sums - Area:
• Riemann Sums - Left En...
The Midpoint Rule:
• Midpoint Rule & Rieman...
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Finding Area - Limit Definition:
• Finding The Area Using...
Definite Integrals - Geometry:
• Evaluating Definite In...
Fundamental Theorem - Part 1:
• Fundamental Theorem of...
Fundamental Theorem - Part 2:
• Fundamental Theorem of...
Net Change Theorem:
• Net Change Theorem - C...
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I'll say it again, this man deserves some of our tuition more than our professors.
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Trust me he gets more money from youtube views and subs so no worries 😂
This tutor is absolutely a genius!!! He posts video on every subjects!!!!
I zone out in calc and miss a few classes from being sick, and you’ve caught me up in half of an hour. May God bless you abundantly, and I hope you know how much of a positive impact you make on so many student’s education!
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Imagine having to use that limit definition for every problem
That would suck.
I would bleach out my eyeballs and then down the rest of the canister
Lol. That would be child labour
the more you do it the faster you get at it
Integrating is easily the preferred method every time.
watching this at 1.30am with my assignment due tomorrow. You are a lifesaver. thank you for this (and your accent is fantastic)
My exam on this is tmrw and I''m studying it right now currently 3am :D
@@usctrojanfreak at least you studied god mine in a few days
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@@cappuccino2901 got a 78 lol
Man you saved my life in alot of things
Every time I don’t know a thing i search for your videos especially because you are the only one who make it very clear and because all my teachers at college sucks especially in this time with the classroom thing
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After using all these steps:
He says: "Now we apply math"
Should have said algebra
I thought I was gonna be stuck forever. KhanAcademt doesn't even have one of these videos. Thank you, OCT.
they have an entire course on their website
Thank you again dude, I seriously owe it all to you for helping me understand this madness that professors oftentimes fail to explain.
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I have been looking for such tutorial for months.. and now my final terms are just a week away and finalllllly i found this topic and you explained it very well...
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Content creator, whoever you may be, thank you from the bottom of heart!! Sending love and gratitude as a first year South African Engineering Student !
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U pass lol?
As an engineer, learning calculus through you has always been a piece of cake........................Thank you so much The Organic Chemistry Tutor.
Which type of engineering r you
@@bountiful14 Mechanical Engineering
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This video just save my life! Really appreciate your clear explanation!
I thought this was so hard but you made it so easy!!! THANK YOU !!!
Professor Organic Chemistry Tutor, thank you for showing How to find the Area using the Limit Definition and Sigma Notation in Calculus One. This old fashion method increases my understanding of the Summation Formulas and its impact on finding Areas under a curve. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
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Thank you so much for this video! my calculus teacher should watch your videos so that he doe snot over complicate such an interesting and fun part of math that is integration.
you are the only one who gives the best intuition of integral calculus
Hey can I ask a quick question, what is the difference between the "Organic Chemistry Video Tutorial Playlist" and "Organic Chemistry New Playlist Online Video Tutorial Course"?
You make very clear instructional math videos, Mark Wahlberg. Thank you. But what is the difference between a and i, on here they are both 1, why have two different variables?
who knew Marky Mark was such a math wiz
a is a constant representative of the beginning point on a graph holding the lowest x value.
i is an iterator representing the integral between iterations and holds the temporary value of each point between a and b.
[x2 - x1, y2 - y1]
you use this, to find the difference between values of x and y as i goes up, the change in values between intervals is called delta.
every time i goes up, the delta is added or subtracted to/from the previous value, for the total value adding up to y2. by finding the delta of both x and y per iteration, we are able to find the slope of the line (rise over run, or deltaY over deltaX), and we essentially get a right triangle in each iteration. The formula for finding the area of a right triangle is 1/2 base times height, or half delta x * y. We then add the area from each iteration to the sum of the areas of all the previous iterations to get the total area.
If the mathematical way of doing this is difficult, you can also do this programmatically with a for loop.
I am scared of watching the next videos though cuz i think im going to get lost soon. lmao
I'm so glad God led me to your videos. Whenever I'm confused about a certain topic I search for you. There was this one time where I had watched all the collegeboard vidoes but was still lost and then I decided to search for you. I spent the remaining 6 hours of my day watching your videos and was able to pass my exam. I'm so grateful you post these videos and you should know that God will reward you immensely for teaching us all this material when we are in a time of need.
Thank you bro.
I am searching any video that African boy. Who cant speak English .
I understand you.
I appreciate god will give you best thing. Insha allah.
When we are doing a laboration about synthesis of paracetamol and then analyzing It with TLC and melting point. What can we learn us afterwards?
It was very helpful!!!! thank you so much.
after understanding this theorem about calculating plane areas, I realized that the other topics like solids of revolution in which we compute volumes, finding the centroids and finding moment of inertia also follow the theorem being explain in the video,, the limit of the summation of rectangles as the number of rectangles approach infinity, it's width delta x approaches zero
I just understood a 2 hour lecture in 13 minutes better than I did in class.
you go to uni of warwick bro ? 😂😂
For the first time, I cannot understand what you are saying, and I am sure that the problem is with me
YOU THE BEST AND THE BEAST MAN
amazing video as always, but its hard to see the blue color could you use a color closer to cyan please
Have you supposed value of n=4 or it is given?
Can you show some of the exercises or references related to this topic? Thank you, sir.
Bro you are carrying me thru online school
how did you get the value that corresponds to the summation of i^3 to be n^2(n+1)^2/4
He uses summation rules, which you can learn online. He even has a video on summation rules: th-cam.com/video/XJkIaw2e1Pw/w-d-xo.html
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Thanx a lot I have cleared 👍
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I am so glad OCT has a tutorial for this. I am on this chapter and this is the first time I don’t get something right away
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Thankz pro......
excellent sir
Thanks!
Where did the stuff at 9:43 come from?
Very helpful
THANK YOU
Thanks
Where did that term @9:39 come from? How does i^3 magically turn into [ n^2(n*1)^2 ] / 4 ???
it is a formula that must be memorized
Thank you
Can you also upload videos on programming
You are my hero
dude your a fucking g, you have a video for every lesson in my calc class
You're the man
"in this video" im pavloved to destress with that
Saved me again bro
an absolute god
Thanks alot sir🙏🥹
Cramming the night before the AP calculus test...
How do you get formula for i? I cant find an answer anywhere.
they're formulas you have to memorize for: i, i^2, and i^3. They're on google.
Thanks you
Ily 🤟🏾
i remember when math used to have numbers.... lol
i really dont understand how im supposed
to understand this in highschool
i mean i can get it but how am i gonna write all of these sympols and stuff
@@hassanalobud3817 wish I got this in high school, avoided STEM in high school, ended up going to an engineering course in college and not knowing a lick of calculus is giving me a hard time lol
@@zahlen_0092 I am going through the same situation too
@@zahlen_0092 same bro
this is college stuff. u probably took high level class?
this is the most annoying part about calculus. once I got to learning about the fundamental theory calculus, every time I did a limit problem I did the biggest eye-roll ever
I pay $16 a month for chegg study only for this to exist and be better :(
God bless you
This guy has such a sexy voice. He sounds exactly like Mark Wahlberg. I could seriously listen to this guy talk about calculus all day.
This is what they'll give to solve for 1 minutes in exam. I was unable to think 😪🤧
I’ve been enjoying all of the other videos and now there’s this one… area in calculus again I’m so confused and stuck here 😭💔
Same here I'm with you we will conquer this BS lol
Why is n constant?
n doesnt change value, and therefore is a constant and can be treated as such
This topic is hard
Cooooooooooooolllllll
Mississippi
3:03 why n=4?
It’s arbitrary, 4 is easy to demonstrate quickly. n can be chosen, and the bigger n is the more precise the calculation
Good video but how is this suppose to help me pay my car bill again ?
because you need that A in all three of your calculus classes to become get your undergrad then get your nice six figure job. if you're not pursuing a STEM course what the fuck are you watching this video for? LOL
@@GamerTheTurtle is calculus only for stem?
@@tansy2279 not exclusively, but calculus is most relevant to STEM fields
Why would you wanna do so much work when you can use the integral
Right!? I'm assuming there's a good reason to use this unless they just don't want future generations to forget this method for some reason.
The limit definition is so tedious and annoying to do, thank god for shortcuts and stuff.
God this section sucks so much. Thank you sm as always you are a lifesaver
Are you an angel?
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This channel should be renamed to Grade saving tutor!
im definetely not passing my final lmfao
شريف
Dark blue is a little too dark
Seems pretty bright to me
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i fucking love you
Am i the only one who got this for 8th grade HW and dont know WTF is going on
bro i will get a 100 for you
i prefer professor leonard's lesson on this one: th-cam.com/video/K0ORDCt5Ig0/w-d-xo.html
made absolutely no sense but that's probably because i'm stupid and shouldn't have taken maths alevel
all that just to integrate in the end should've started with that smh wasted 13 minutes
Hey! Why is the i is written as a subscript, but you are having the multiply when done? female dog
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