Application of Integration - Free Formula Sheet: bit.ly/3ZdKSnK Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ua-cam.com/video/7EqRRuh-5Lk/v-deo.html
I just love that after a 2 hour lecture from my teacher nothing makes sense and then a 12min video and it all fits together. I love our education system
It makes me angry that I pay for a shithead to read off his (super badly made) slides which is a waste of my time, while this video does it for free and in 1/4th the time. Our school system is so outdated, it's unreal.
Professor Organic Chemistry Tutor, thank you for an exceptional video/lecture on the classical Trapezoidal Rule in Calculus One/Two. The Trapezoidal Rule is an excellent way to approximate Definite Integrals which cannot be Integrated in closed form in Calculus. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.
Gaby me but I’m confused if we need to absolute value this if we get a negative cause my teacher said something about absolute value when you find the area under the curve idk if any of y’all know
@@Scrappycoco0917 If you get a negative value it's probably because more of the graph is below the x-axis, in which case I'm pretty sure you need to keep the number negative if it is. Then again, I wouldn't recommend listening to someone random on UA-cam, so ask your teacher or do some research and tell me what you find
Ah we meet again old friend. Clock ticking down on submission time, and here you are, saving my ill understanding rear in a calm, clear and understanding manner
Thank you so much for these short and to the point lectures, Teachers at Uni made me hate this subject( I still do but at least I can solve questions now while understanding what I am doing )
i think your final answer is not correct because the formula to approximate the area under curve is just (a-b)* f(x0)+2*f(x1)+2*f(x2)+....+2*f(xn-1)+f(xn)/2n then if we apply this formula to solve the problem the final result is gonna be 170. but why did you reject to divide the final result with 2n, do you happen to have any reason?
Why do we bother with approximate techniques when we know how to integrate definite intervals? It's nice to know from an historical prospective, I guess, but it's a waste of time and just seems to drag out our Calculus curriculum.
My professor recently told me that you can use trapezoidal/simpsons rule in real life engineering type scenarios where you need to take the approximate volume of an area to figure out how much supplies you’d need or something of that sort. Using definite integrals would be near impossible to find the volume of a mountain but these rules here allow for a close approximation to the exact answer.
Can anyone explain how he solved the water tank question? The question asked for the amount of water in the FIRST HOUR. But I didn't see any modification he did there
Guyz please help me i read the same formula for composite trapezoidal even chat gpt tell me the formula for composite and trapezoidal methods for both same. I am so confused whats the difference between them ?
The last example isn't a really good one personally. It gives you the answer in the question. The question asks for the amount of water accumulated after 1 hour. 60min = 1hr as we all know. In the chart it says that for 60min the rate is 6.2gal/min. So.......6.2*60= 372gal. No need for a trapezoidal rule.
Application of Integration - Free Formula Sheet: bit.ly/3ZdKSnK
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ua-cam.com/video/7EqRRuh-5Lk/v-deo.html
I just love that after a 2 hour lecture from my teacher nothing makes sense and then a 12min video and it all fits together. I love our education system
maybe you are stupid
because the teacher wants to give knowledge this wants you to give you grades LOL
It makes me angry that I pay for a shithead to read off his (super badly made) slides which is a waste of my time, while this video does it for free and in 1/4th the time. Our school system is so outdated, it's unreal.
@@ruffy6506 "knowledge", seems like an excuse for not being able to explain properly
because your gay.
guys, remember to turn off your adblocker for UA-camrs like this dude!
why
@@Sol-01 to support him
@@Sol-01 more support
@@codeaperture how?
@@kaero2 I don't have an adblocker to begin with. Can you get it on UA-cam?
41 years ago I had trouble understanding this. NOW, I understand it!!
Thanks!
You are a quick learner!
@@sanalchhabra7901
@@sanalchhabra7901 🤣🤣🤣🤣🤣🤣🤣
@@sanalchhabra7901Lmaooo
@@sanalchhabra7901bruh🤣😭
thank you very much sir i was lost now im found.
ArE yOu loSt bAbYgiRl¿ Oh...
You are a good person I am proud of you buddy.
Allen Cymba did you find yourself out yet?
@@tanzimmehran8317😂😂😂
Professor Organic Chemistry Tutor, thank you for an exceptional video/lecture on the classical Trapezoidal Rule in Calculus One/Two. The Trapezoidal Rule is an excellent way to approximate Definite Integrals which cannot be Integrated in closed form in Calculus. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.
I have spent weeks trying to figure out why I can't understand a single one of these problems until now. The number line totally made it click for me.
Came for the trapezoidal rule, but learned them all haha
You 're absolutely understand our education system, I am electrical student, thank you. Man ❤❤
Taking AP Calc AB over the summer, this vid saved my grade 🥺 the clarity is real
Hey im taking AP too! But for me it's the whole school year
Who's here cramming for the AP Calc exam on Tuesday
Edit: I got a 5!
mee
@@michaellu1147 Good luck bro
@@gaby4061 no u
Gaby me but I’m confused if we need to absolute value this if we get a negative cause my teacher said something about absolute value when you find the area under the curve idk if any of y’all know
@@Scrappycoco0917 If you get a negative value it's probably because more of the graph is below the x-axis, in which case I'm pretty sure you need to keep the number negative if it is. Then again, I wouldn't recommend listening to someone random on UA-cam, so ask your teacher or do some research and tell me what you find
I graduated as engineer 10 yrs ago and I just learned this today.
Your the BEST TEACHER EVER!
Ah we meet again old friend. Clock ticking down on submission time, and here you are, saving my ill understanding rear in a calm, clear and understanding manner
Thank you. Clear and concise
Love you. You saved my ass from the midterm 1!!!!
love your tutorials! thank you!
Dude helped me with my Chem E degree! You aren't too smart to watch his videos, take it from the masta!!!! Thanks TUTOR!
Thanks for a great and clean explanation
Omg! This is so much easier to understand. Thank you!
Thank you sm, my understanding goes from 0 to 8 real quick. Need more excercises to get another 2😁
Congratulations. What software do you use for creating your videos? They are very easy to see. Thanks
Thank you so much for these short and to the point lectures, Teachers at Uni made me hate this subject( I still do but at least I can solve questions now while understanding what I am doing )
Thank you! You saved me!
May your thinking abilities and finger tips be Blessed 🙏💞
makes so much more sense than lecture
Engineering guys watching this a night before their exams 😂
Here
5 hrs before exam
We gather dey😂😂😂
1 hour before
😂😂😂
at 8:43 , how n is 6 ?
You help so much!!
Thanks very good explanation keep doing this
What about the 2f(xn-1)?
Thank you! Good practice 😊
My lecturer refuses to teach me the method so I have to find lessons on youtube in order to pass the tests of the course that I pay for.
Thank you so much for making me understand ❤️
so we don't actually integrate anything at any point?
Yeah seems like it
i think your final answer is not correct because the formula to approximate the area under curve is just (a-b)* f(x0)+2*f(x1)+2*f(x2)+....+2*f(xn-1)+f(xn)/2n then if we apply this formula to solve the problem the final result is gonna be 170. but why did you reject to divide the final result with 2n, do you happen to have any reason?
thank you so much Sir!
Why exactly are the middle parts in the trapezoidal rule multiplied by 2 and the outside ones are not? I am not really understanding how that works.
Why do we multiply the middle values by 2 though I don’t get it
I don't understand @ 5:42 why is f(x)=x squared?
That's an example
It's like a question
thank you so much. please do the pappus theorem
Excellent thanks for you
you are a legend
Kindly upload Linear regression and Non linear regression
Great job,Thank you so much..
Amazing thank you
Sir you are very nice and helping others. Thankful to You
around 5:50 f of x was x squared why was it 2
why did we take only 5 points in the right/left end point rule? I mean why don't we just take the six points
can n be any number?
your voice sounds so great and I only wish you could have your very own studio to record in hq
do you know why integrating discrete acceleration data leads to drift in the extrapolated velocity data?
Why do we bother with approximate techniques when we know how to integrate definite intervals?
It's nice to know from an historical prospective, I guess, but it's a waste of time and just seems to drag out our Calculus curriculum.
My professor recently told me that you can use trapezoidal/simpsons rule in real life engineering type scenarios where you need to take the approximate volume of an area to figure out how much supplies you’d need or something of that sort. Using definite integrals would be near impossible to find the volume of a mountain but these rules here allow for a close approximation to the exact answer.
I'd gladly use trapezoids over long analytical solutions
Can anyone explain how he solved the water tank question? The question asked for the amount of water in the FIRST HOUR. But I didn't see any modification he did there
JG is from the Mas coz of how he says 40. lmk if im wrong
In most of the questions I'm solving, n is not given. We assume it is 1. And for Simpson's rule, we assume it is 2. Is there any reason?
How did you get n?
What’s the difference in solving a problem (ones involving a table) using trapezoidal rule and trapezoidal sum?
Same thing, just different names
very helpful!
What about the 2f(xn-1)?
Guyz please help me i read the same formula for composite trapezoidal even chat gpt tell me the formula for composite and trapezoidal methods for both same. I am so confused whats the difference between them ?
Am I the only one who thinks his voice is so romantic+cool? HHAHAAHAAHAH
Can someone explain why the first and last values dont get multiplied by 2 I'm a bit confused by that
they're y values
Great thanks
live long my prof.
why x^2 for f(x)
S tier youtuber
Thank you
Its liberating video. But using Trigonometric equations?
Can we have gaussian quadrate ?
thank you.
Why is n 6 not 7
he didn't divide the ∆x to 2 in the last problem
Why f(x)=x^2 ? Can someone please tell me?
It was the function given in the example
thanks
Cannot thank you enough
THANKS
Isn't that 2? (10-0)/n = 2???
Not 2/2
It's (60-0)/6 =10, then 10/2=5. The formula itself has /2
Sİr, where are you from? you have definitely american accent but sometimes you really sound strange.
probs black
lol
Sounds like he's from Boston
How to calculate incremental area under curve
I don’t even remember this being mentioned in class
Thankyou!
hey guys if you understood the he rejected to divide the final answer by 2n just tell me i got confused .
I love you
Is there a way to see how many likes are within 5 seconds of the video loading? I feel like I'm not alone in doing this
340 is equal to 333.333 well approximately.😔
your video a bit confusing
Nice
God made some great human beings and this is definitely one of them
SUPER LOGIC
idk why but the things my lecturer teach is so different from this and not understandable
Thanks😂
مافتهمت
Can u be my tutor 🤓
Mark Wahlberg!!?????
whos here from numerical at HIT😂😂😂😂
You pay for a tutor? Lmao
nooiice
Okay I'm having an exam today
Am I cooked?? No
The last example isn't a really good one personally. It gives you the answer in the question. The question asks for the amount of water accumulated after 1 hour. 60min = 1hr as we all know. In the chart it says that for 60min the rate is 6.2gal/min. So.......6.2*60= 372gal. No need for a trapezoidal rule.