Application of Integration - Free Formula Sheet: bit.ly/3ZdKSnK Integration Techniques - Video Lessons: www.video-tutor.net/integration-techniques.html
hey man, with this being 4 years old and you having millions of subscribers, still wanted to say everytime I get stuck in calc 2, I come here and you break it down so simple and quick that it almost makes going to school seem silly. thanks for all you do.
Professor Organic Chemistry Tutor, thank you for a solid analysis of Simpson's Rule and its impact on Numerical Integration in Calculus. Simpson's Rule is the best approximation that can be used to approximate Definite Integrals which can/cannot be Integrated in closed form in Calculus. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.
It has been 3 years since I watch your videos and couse I am studying chemical engineering your vedios help me really☺️so thank you for your hard work🌹note: your voice is nice
Simpson's rule only works for N = even integer. so go back to Trapezoidal rule for N = odd integer. The reason we use Simpson's over the trapezoidal is it is more accurate.
Sorry for the late answer. To apply Simpson's rule, you need to divide the interval I even number of parts(eg 2,4,6 etc) Even number of parts implies odd number of points, for example- We divide the interval [0,2] in four parts, then there are four sub intervals- [ 0 , 0.5 ] , [ 0.5 , 1 ] , [ 1 , 1.5 ] , [ 1.5 , 2 ] But number of points = 5 (i.e. 0, 0.5, 1, 1.5,2)
What happened to the fx n-2, fx n-1? You never elaborated on what the means or when that's used nevermind: it just meant 3rd last term, 2nd last term, and fx n would be last term
How did you you get 6 intervals from 0 to 30 how is 05 one interval and than 5 to 10 is another one. but then 10 to 25 is the third, are these uneven intervals? might be a silly question but it caught my attention for some reason. thanks again.
The more rectangles you have, the smaller they must be to fit in a given space. If you use more, smaller rectangles, they answer is naturally going to be more accurate, because there is less excess, and the rectangles are getting closer and closer to a single line that fits perfectly under the curve.
Couldn’t you add up all the velocities and then divide by 7 since the distance is equal to the displacement in this case. I think you get a small margin of error because of the simpsons rule.
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Application of Integration - Free Formula Sheet: bit.ly/3ZdKSnK
Integration Techniques - Video Lessons: www.video-tutor.net/integration-techniques.html
hey man, with this being 4 years old and you having millions of subscribers, still wanted to say everytime I get stuck in calc 2, I come here and you break it down so simple and quick that it almost makes going to school seem silly. thanks for all you do.
If I pass my Calculus courses, I'm gonna credit TOCT on my graduation cap. All of his videos are golden!
How did you go?
@@MrShadowOfGaming I passed this course but have to retake Cal 2 :/
@@jssgallarzo how about now?
@@bittersweeter5882 Locked it down and got my CS degree 🥹
@@jssgallarzo how did it go?
Anything I search for help study. The Organic Chemistry Tutor is the first in row to help me
while me watch their video while online exam haha
Thank you so much for uploading! You've explained this really concisely and well Keep up the good work!
... nerd
Professor Organic Chemistry Tutor, thank you for a solid analysis of Simpson's Rule and its impact on Numerical Integration in Calculus. Simpson's Rule is the best approximation that can be used to approximate Definite Integrals which can/cannot be Integrated in closed form in Calculus. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.
i missed my 2 classes last meeting and we have a quiz tomorrow, you are a saviour.
It has been 3 years since I watch your videos and couse I am studying chemical engineering your vedios help me really☺️so thank you for your hard work🌹note: your voice is nice
This vide0 saved my exam .... Thank you .. God bless you .
GOD BLESS YOU MY CHILD . YOU ARE GOING PLACES KEEP THE HARD WORK
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Never studied calculus before, but I have a module on numerical methods at college. This has helped a bunch. Thanks.
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The example is a useful one. Never did I imagine that calculus can actually be applied in real life!
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Thank you very much I’m learning very fast from your explanation
Very useful! thanks for uploading, also would be cool if you had video on Calculating Theoretical Maximum Truncation Error
Thank you for another awesome video. Now let's have a moment for the word mess up at 5:03.
"so that's it for this particular problem" - what did he mess up on?
@@tannerkayla1076"2500 divided by 4 is 2496"
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Great as usual!!
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When you did the definite integral as you got to the very end you said "twenty five hundred divided by four". @4:30
Thank you sir.
why did you use n=4 when calculating deltaX do you just pick any number or I'm confused
ahh nvm mind I understand now
Answer?
I know I can do it but I simply just dont have the energy to put the effort in
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just. so. tired.
What happens if you choose to work with four points? What coefficient will the two middle term have?
Simpson's rule only works for N = even integer. so go back to Trapezoidal rule for N = odd integer. The reason we use Simpson's over the trapezoidal is it is more accurate.
Sorry for the late answer.
To apply Simpson's rule, you need to divide the interval I even number of parts(eg 2,4,6 etc)
Even number of parts implies odd number of points, for example-
We divide the interval [0,2] in four parts, then there are four sub intervals-
[ 0 , 0.5 ] , [ 0.5 , 1 ] , [ 1 , 1.5 ] , [ 1.5 , 2 ]
But number of points = 5 (i.e. 0, 0.5, 1, 1.5,2)
thanks!
What happened to the fx n-2, fx n-1? You never elaborated on what the means or when that's used
nevermind: it just meant 3rd last term, 2nd last term, and fx n would be last term
How do you determine the n value (number of rectangles)?
It has to be given to you.
In my book, △x = (b-a)/(2*m). Where does that formula come from? I can't find it anywhere else.
Sight, me too...
Thanks man
Where were you getting that denominator 3 in both first examples? I
have not understood that part
It's part of the formula
Why is n equal to 4? 01:30
@@404luxx I figured it out later that day, anyway thank you
Just because
but what if the n is odd? does the middle part of the sequence end with 2.f(Xn-1)?
Simpson's method doesn't work for odd n .. you have to use trapezoidal method if you would like t use n s odd :)
You the best
Thank you.
God bless you and your family
Thank you
Is there a way we can calculate error bounds?
Yes, it is normally the next section in your calc class.
If n is even then what will happen 4*f(xn-2)
Thanks
You played me congrats 🎉
Simpson Rule is very good
How did you you get 6 intervals from 0 to 30 how is 05 one interval and than 5 to 10 is another one. but then 10 to 25 is the third, are these uneven intervals? might be a silly question but it caught my attention for some reason. thanks again.
where did you get 10-25 is the third from?
0-5: 1st
5-10: 2nd
10-15: 3rd
15-20: 4th
20-25: 5th
25-30: 6th
Thanks Boss
can u do laplace?
If maximum value of double derivative is zero in Trapezoidal Rule ( for example if f(x) = x sinx [0 , pi ] ) then how do you find error ?
The second velocity problem. Both solutions are considered equal since the ones ans decimal are not significan figures.
Best ever seen
You forgot to say "In this video..."
haha
😂
Go ahead an try
it should be 51300m instead of the 50600, great work though
Why different N value give different answer?
The more rectangles you have, the smaller they must be to fit in a given space. If you use more, smaller rectangles, they answer is naturally going to be more accurate, because there is less excess, and the rectangles are getting closer and closer to a single line that fits perfectly under the curve.
@@ASOUE thank you
thanks man
I'm writing calculus II tomorrow
Wish me Goodluck Guys ❤
Nice
can i use any value as my n?
Couldn’t you add up all the velocities and then divide by 7 since the distance is equal to the displacement in this case. I think you get a small margin of error because of the simpsons rule.
Both trapezoidal and mid ordinate rules gave me 50700. It looks like the interval is huge or.....
Why are u taking n=4?
yES THAT IS BOTHERING try an odd one
do examples for fractions
How do I give you money for your service lmao
Why use simpson's rule when u can just use definate interal to solve it? 😳 and why did u call "n" a rectangle?
i’m not sure but maybe because computers can solve it
@@kebbean 🤔 make sense, thanks! 👍
Thanx
is this the 1/3 rule or 3/8
1/3
You saved me!
how do we find X2i and X2i-1?
n is the number of rectangles
thx
Do this method with even number of data
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3:25 some asmr type shit😂
great
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I have one problem how the hell do you know this many subjects it like you have a PHD in everything
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nice
It was not coincidence in first question…Simpsons rule gives exact answer even for cubic polynomials! If anyone knows how please tell me
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You have made a mistake .. it is (delta x over n-1 ) not over n
Why 2496?
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Thank you.