Approximating a Definite Integral Using Rectangles

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patrickJMT

patrickJMT

16 жыл бұрын

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! For more FREE math videos, visit PatrickJMT.com !!
Approximating a Definite Integral Using Rectangles - Here I use 4 rectangles and left endpoints as well as midpoints to approximate the area underneath 16-x^2 from x = 0 to x = 2.
For more free math videos, visit PatrickJMT.com

Пікірлер: 192
@zahrasimpson4839
@zahrasimpson4839 10 жыл бұрын
There is nothing more soothing than sound of PatrickJMT's voice when I'm about to have a math induced panic attack. You are literally amazing.
@lefermier10
@lefermier10 8 жыл бұрын
brillant! you managed to clearly explain in less than 10 min, what my teacher failed to explain in 40 min.
@ahmedamer1932
@ahmedamer1932
This video is 15 years old, and its still the best explanation of how to solve these approximation questions for Calc II. Thank you so much good sir!
@patrickjmt
@patrickjmt 15 жыл бұрын
learning to read a math textbook is a fine art. not only do you have to understand the notation, but also the concepts behind them. it is a slow process, but one worth mastering if you have to take a lot of math/science
@n00b78
@n00b78 12 жыл бұрын
I've been doing calculus for 3 years now, mind you I'm not great at it, but every time I have something that needs clarification, I always come back to this guy. Patrick, you da bawss. You deserve something awesome. But due to a personal lack of millions of dollars, I award you with +9,001 internets. That being said, I salute you :)
@patrickjmt
@patrickjmt 14 жыл бұрын
glad i was able to help you : )
@VishtasticProductions
@VishtasticProductions 7 жыл бұрын
Thanks! Truly Helped understand. Answer to 1) 30.25 (Left Endpoints), and Answer to 2) 29.375 (Midpoints)
@BewilderedBird
@BewilderedBird 12 жыл бұрын
Sir, I have taught myself calculus from all of your videos on your site. I really, really can't tell you how much I appreciate you putting these videos up. You have actually have made me interested in math, something that I never thought would happen.
@th3imm0rtal1
@th3imm0rtal1 11 жыл бұрын
calc test later today, this was the one thing I could not quite grasp. Thank you for your simple logic, and great explanation. Makes much more sense now. Keep it up.
@opmike343
@opmike343 14 жыл бұрын
There's absolutely NO EXCUSE for all math teacher's not to be as clear, understandable, and organized as this guy. All my professors in college have me checking the syllabus to see if I'm even in the right class. Patrick is a god amongst men. Thank you sir!
@dreamhop123
@dreamhop123 11 жыл бұрын
Omg I can't thank you enough for this and your two Riemann's sum videos. Your three videos helped me understand everything from three whole lectures!!! Each of them is one and a half hours long!! thank you so so so so much!!!!
@lefthandedspatula
@lefthandedspatula 12 жыл бұрын
Of all the videos I have watched, yours is the only one that makes sense to me. It's important to explain WHY things are the way they are, and you explain that in terms that I can understand. Thank you.
@patrickjmt
@patrickjmt 14 жыл бұрын
@AJ410 glad it helps
@patrickjmt
@patrickjmt 15 жыл бұрын
i have spent many hours reading, and rereading the same pages of a math book before : )
@ian559fresno
@ian559fresno 12 жыл бұрын
Thanks man! Saving me once again! I really appreciate these videos!
@patrickjmt
@patrickjmt 12 жыл бұрын
@lefthandedspatula you are welcome, come watch any time : )
@4509ghada
@4509ghada 9 жыл бұрын
u probably just saved my school grades, professional life -as in u saved my future profession my future job - or whatever im just so happy i found ur channel i was actually thinking of dropping this course cuz teacher isnt so good and couldnt understand a word although ive always been good in math, maybe its me i dnt know OMG ill shut up and get back to studying now but SERIOUSLY thank you thank you thank you SO MUCH.
@tobygone5
@tobygone5 9 жыл бұрын
thanks (; helped me survive algebra 2, precal, and now AP calculus (:
@patrickjmt
@patrickjmt 11 жыл бұрын
that is a good question! i did not realize it was. it should be unlocked now. thanks for letting me know.
@gisele422
@gisele422 13 жыл бұрын
Thank you, Patrick. This is really helpful especially since I spend more time outside the classroom trying to learn this. Thanks for explaining this slowly and clearly. My professor just zooms through it.
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