Numerical Integration - Trapezoidal Rule, Simpsons 1/3 & 3/8 Rule
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- Опубликовано: 2 авг 2024
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This video lecture of Numerical Integration - Trapezoidal Rule, Simpson's 1/3 & 3/8 Rule | Example & Solution by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
1. Numerical Integration in Numerical Analysis
2. Numerical Integration By Trapezoidal rule and example based on this rule
3. Numerical Integration by Simpsosn's 1/3 Rule and example based on this rule
4. Numerical Integration by Simpson's 3/8 Rule and example based on this rule
#NumericalAnalysis #SimpsonsRule #Trapezoidal #NewtonDividedDifference #unequalInterval #GATE #IITJAM
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech students also preparing NET, GATE and IIT-JAM Aspirants.
Find Online Engineering Math 2018 Online Solutions Of Numerical Integration - Trapezoidal Rule, Simpsons 1/3 & 3/8 Rule | Example & Solution by GP Sir(Gajendra Purohit)
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Time Stamp
An introduction - 0:00
Numerical Integration - 0:49
Formula of Trapezoidal rule - 2:27
Formula of Simpson 1/3 rule - 3:31
Formula of Simpson 3/8 rule - 4:38
Example 1 - 7:52
Example 2 - 20:39
Example 3 - 23:49
Example 4 - 26:20
Conclusion of video - 30:45
Detailed about old videos - 31:40
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Sir ... I am not able to express my gratitude to you in words
You are too good
Your explanation is soooooo affective that I have seen all the videos of numerical analysis of yours
Numerical integration, integration and newton quadrature same h ya difference🤔. Please reply me sir🙏 I have many confusion 😥
Hiiii sir
Numerical method ke liye kaun sa book reference me le plz sir
Thanku sir for ur efforts 😀
sir what is the difference between analytical solution and semi analytical solution
I go to college just for attendance and come back home and learn from your videos :) Thank you so much sir for all your efforts .
True that, you literally stole my tongue's words!
Me too
me too brother
Me too
I also dude same daily routine
covering a whole unit in one video .This man is awesome
Yes you are correct =>The answer to Q4 is 1.187
yep its 1.187
yes its the right answer
Wasted about an hour trying to get 0.3
Yes
@@sushantsavilake5031 same bro
if there were many teachers like you,then the world of education will be better❤️Nice video sir
Thank you Sir! There is my exam after 2 to 3 days...and these topics are included.. and you make me understand these rules with in no time!
I have scored 15/15 marks in GATE Maths by learning from your channel. Thank you Sir
congratulations
Please send playlist for my preparation gate mathematics
Hello sir I want some guidance from you
clear and crisp concepts , thanks for saving me in my semester/CA3
You are superb sir...
Amazing Talent and knowledge, anyone can learn in single attempt from your lectures.
Thank u so much sir!!U have not only made my concept stronger but also made my preparation smooth and easy!!!This video has really helped me.
Teachers like you are a blessing ❤️✨🤞
legends are watching this at exam time 😁😂
legends nahi gawar dekhte hey exam time per
Up corse bro 😂
@UNKNOWN-ui8yp chl
Correct 💯
@@UNKNOWN-ui8yp haa vahi gawar phir ek din me pd kr tum jeso se jyada number le aate he.
Sir my back subject is clear for your unbelievable teaching
I am proud of u,
Very thankful
Yes,sir God of math 🙏🙏🙏🙏
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Thank you sir..,! These days when the lockdown is here. Your study videos are amazing. 👍🏻
25 min me exam hai 😅😅
Subhan ALLAH😅😅
Kafi jldi smjhny a gy ap Tu 😅
Same here 🥲
To etna kyon itra rha fail h tu
Thanks a lot sir ,
We can learn through your videos in such situations COVID-19, and also helpful for open University students.
Note: In calculus always understand logx as lnx and values in radians.
please tell me why?
@@humane5218 there's no specific reason it's just what the examiners had in mind when designing the questions typically
@thisismarketif it is calculator fx 82ms will it be different
It's same
Great lectures. Pls also include lectures on abstract algebra and calculation of errors in numerical methods.
Thanks a lot sir!
You are a life saver!
Wish you more and more success!
💖I did not understand all these three methods for the whole year, but today I understood all three in one day.
thank you very much sir.....💝
East or West GP sir is the best 😍
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Yrr kisi ko pta h sir ki numerical differentiation vali video kha h?
Plz muje bta do ksi ko pta h to
@@gajendrapurohit okay sir i visit you on unacademy
@@eddyr978 numerical analysis ke playlist mein hai
@@eddyr978 nahi hai bhai
Sir thank you soo much for telling me that radian and degree thing. My mostly question got wrong as I didn't put that degree and soo my answers went wrong. Thanks for mentoring that topic in my mind.
Guruji U r great bas ek din me aapke lectures se 2.5 moths ka syllabus pdh kr aaj exam dekr aaya hun midsem aur 28 marks ka banaya hun out of 30 , u r great, dhanyavad dil se aapko ❤️❤️❤️ last waqt pe bhi aap ek ajib kism ki confidence utpann kar dete ho body me aur mai aag lgakr aa jata hun ♥️♥️
Kal exm hai 😁
Legend's-bhai kl exam h abhi dekh leta hu 😂😂
Sir, you save me in every endsem exam, Thank You
Thank you so much Sir for your wonderful and crystal clear explanation !!!👌
Please KEEP UP THE GOOD WORK 💐🙏💐 !!!
One of the best maths teachers out there. If only the other subjects teachers were like you.
Sir Kamal Samjhatey Hain Ap. Thank You So Much!! Seriously Concept Bohat Clear Ho Gaye Hain. And Sir Aik Correction Karni Thi,Video Me 25:26 par jab ap trapezoidal rule se solve kar rahe hain (1/x) ko toh apne final answer ko h se multiply nai kiya huya steps me. I thought apko bta du takey students confuse na hon.
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Sir ne toh sirf questions solve karke bataya hai , concept toh tab clear hote hai jab pta chale ki formula kaise derive hua .
@@AbdurRahman-zu3sm syllabus mey nhi bro .
Thank you I have also confused cause my answer was different
yes bro 1/h multiply hoga or whapar ans hoga 6.3
U just completed my whole chapter with in 30 minutes and I'm confident for tomorrow's exam
Thanks alot Sir❤🙏
Yes sir same I also tnqqq sir
How you're confident to write exam without practicing..
Your videos are always helpful Sir! I had a query regarding the last question of (sin x)^(1/2). When we are taking the limits of integration ( 0 to pi/2) then 'h' is also in radians but we have changed x into degrees and then calculated corresponding Y(x) so won't 'h' also needs to be changed into degrees?
Thank you sir, your efforts are very helpful for us. Your teaching methods are really appriciable.
These tutorials are very useful in this quarantine days,and we will also have a grip in the subject by remembering your classes.Thank-you
You studying because of quarantine lol. I am doing it because I have exam in just four hours.
First of all, I want to say a Heartful Thanks to you sir for your teaching.
As you know Math subject requires more space for calculations, so I request you to use Digital Board. With help of this that problem solve easily.
Tomorrow is my paper and I lost all hopes that I can understand these 3 rules but in one lecture I complete all three topics in just 30 minutes thanks a lot sir🙏💞
Thank you so much sir... You did all of this free for us.. I'm grateful to you..❤️
Thanks a lot sir❤ because you helped lot of students like me🙏💕
Thank you so much Sir. the way you teach, amazing : )
Sir, u r the bestest teacher of maths, i scored 89/100 in maths in BCA 5th sem. Thankyou so much sir bcz this is possible only because of you.
Thanks a lot sir
U made maths so easy which is too much helpful regarding exams for doing best... Heartly a lot of thanks 😊😊
Kya sir 3 hours topic 30 mins ma with full details.Impressive sir.
Started to watch your vides from the 1st semester of my EE Degree and now I am in my final year, still watch your videos to understand all of my mathematics courses. Thank you Sir, love from Pakistan
Your video helped me a lot to clear concepts of these rules.thanks alot sir jazakAllah
CBSE Class videos and your channel are two great mathematics channel. Scored 70+ in my university exams after watching your channel (for advance) and cbse class videos channel (for basics).
These exams after covid were relieved by your videos sir... Thanks for explaining clearly
Your video's are very useful for us sir. Thank you so much sir ♥️🙏. Students are lucky to have you as there professor ♥️
thank you! my all doubts are cleared and yess camera quality is very nice!
Greatest explanation ever i have seen in my life such a simplified one😊
One of the finest guider and teacher of my list..u are one of the saviour for us ..thank u sir for ur efforts and making mathematics quite interesting 🙏🙏
Thankyouuuu so much sir for helping us by making such amazing videos . The way u explain everything is outstanding . 😘 All your videos are so helpful . Thanks a lot .
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Thank you sir for covering all topic of m3 ..it is no where availbal to learn and lockdown clg had not taught us..your videos had been lifeline
Amazing teacher ❤️...
For just u i got to cover my syllabus
In trapezoidal rule one thing is missed
I.e 2(y1+y2+y3+......+y(n-1))
Hello Shivam Shrivastva
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Please Avoid Mistakes, I am Very Happy that you Find Mistakes, it shows that you are watching my videos seriously. these are my old videos so there is some silly mistakes. Now from last 50 videos there is no mistakes.
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No nothing is missed ,...
Bhai sir ne 2 se eq ko multiply ker diya
@@backchodinfluencer Bhai ques. Konsa h
And which method
Love u sir u changed my life .I am actually having interest in statistics and going to take this sub as my carrier option otherwise I used to be a pubg addict ..but now I am addicted to u sir..thank u for coming...🥰
Iam now also addicted to pubg😀
You are Brilliant sir 😉🎉
I am feeling confident after watching your lectures 😎🔥
Thank u so much sir......this is the best way i have ever studied this topic.....all the things are crystal clear...THANK YOU SIR!!!!!
Thankyou so much sir 🙏🙏🙏
Great explaination
Sir you teaches so well. I understand every single words of yours. Thank you sir🙏
Sir... Your explanation is awesome... Great skill sir
You are wonderful
Thanku so much for keeping these videos available for every student who are very need of them
May live 100 yrs long sir
I've a query in example 3 how "1.5/2+3/4+3/5 = 0.70" when 1.5/2=0.75, 3/4=0.75, 3/5=0.6 simple mistake or my mind is breaking :(
Take the value of h = 1/3
Sir errors based question bataiye ur an excellent teacher...
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Topic:- Class 12 Maths NCERT - Continuity
Important Questions Board Exam 2019
ruclips.net/video/hp-VtmQXc0U/видео.html
Topic:-
Class 12 Maths NCERT - Crash Course |
Revision Class | Board Exam 2019
ruclips.net/video/6njCv-Lqhx0/видео.html
Topic:- Matrics and Linear Algebra
ruclips.net/video/p5rBJj5CKCg/видео.html
Topic:-Fourier Series
ruclips.net/video/NdouX5-KD6Y/видео.html
Topic:-Differential Equation of First Order and First
Degree
ruclips.net/video/McOc6OUC7Pc/видео.html
Topic:- Higher Order Differential Equation
ruclips.net/video/tHqx1qxA8q4/видео.html
Topic:- Second Order Differential equation of Variable
Coefficient
ruclips.net/video/1HKn9IvYiEM/видео.html
Topic:- Partial Differential Equation
ruclips.net/video/vZEN4NXhmag/видео.html
Topic:- Vector Calculus
ruclips.net/video/FfJtVvQtqTM/видео.html
Topic:- Laplace Transform
ruclips.net/video/EDVJotmT584/видео.html
Topic:-Asymptote
ruclips.net/video/WX6O9TiFYsA/видео.html
Topic:-Fourier Transform
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Topic:-Curve Tracing
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Topic:-Tracing Of Polar Curves
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Topic:-Surface area and Volume of Revolution of curve
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Topic:-Complex Analysis
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Topic:-Partial Differentiation
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Topic:-Numerical Analysis
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Sir, you're helping me and a lot of students like me thank you so much......and please make a video on first order and second order derivative and Richardson extrapolation method ...... that would really helpful
Thankyou so much sir.
I was forgotten and very confused in these three method.
Now I am clear.
Thankyou again
पहले तो प्रणाम सर, आपके अध्यापन की तारीफ करना तो समुद्र के पानी को एक बूंद में बताने जैसा है अगर हम आपके अध्यापन की कोई तारीफ करें सच में आपके लिए तो तौहीन के बराबर होगी, आपका अध्यापन कार्य बहुत ही लाजवाब है यह इतना अच्छा है कि हमने अपनी मैथमेटिक्स को आपके संरक्षण में ही बहुत अच्छा किया आपको तहे दिल से बहुत-बहुत शुक्रिया इतना अच्छा कार्य करने के लिए thank you so much sir 🙏🙏🙏🙏
🙏
Only Legends are watching lecture vidios before the exam time thats why they always score higher max in the bottom 😂😂😂
@@shinchannohara7653
You are absolutely Right ✌🏻😂💯
🙏🏻😎Sir aapka compair kisi bhi mathmatics ke Teacher se nahi sakta hai. Kyoki Sir aap unique ho🙏🏻🙏🏻
Thanks you for your support and help many students studying in btech you are god for us who always understand easily method .I am appreciating you that you are god of engineering🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
Allah Pak ap ko Iman Ki daulat Sa BHI mala maal farmae ameen
Guru ji numarical differentiation ka vdo banao..
Thanks 4 ur vdo lecture
will do please wait
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your comment, your appreciation always motivate us to do such kind work.
Please Share it
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and link of videos with latest update then Connect me on Telegram Link:-
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Topic:- Class 12 Maths NCERT - Continuity
Important Questions Board Exam 2019
ruclips.net/video/hp-VtmQXc0U/видео.html
Topic:-
Class 12 Maths NCERT - Crash Course |
Revision Class | Board Exam 2019
ruclips.net/video/6njCv-Lqhx0/видео.html
Topic:- Matrics and Linear Algebra
ruclips.net/video/p5rBJj5CKCg/видео.html
Topic:-Fourier Series
ruclips.net/video/NdouX5-KD6Y/видео.html
Topic:-Differential Equation of First Order and First
Degree
ruclips.net/video/McOc6OUC7Pc/видео.html
Topic:- Higher Order Differential Equation
ruclips.net/video/tHqx1qxA8q4/видео.html
Topic:- Second Order Differential equation of Variable
Coefficient
ruclips.net/video/1HKn9IvYiEM/видео.html
Topic:- Partial Differential Equation
ruclips.net/video/vZEN4NXhmag/видео.html
Topic:- Vector Calculus
ruclips.net/video/FfJtVvQtqTM/видео.html
Topic:- Laplace Transform
ruclips.net/video/EDVJotmT584/видео.html
Topic:-Asymptote
ruclips.net/video/WX6O9TiFYsA/видео.html
Topic:-Fourier Transform
ruclips.net/video/GtXmS5YH7XM/видео.html
Topic:-Curve Tracing
ruclips.net/video/CioY8ElsjO4/видео.html
Topic:-Tracing Of Polar Curves
ruclips.net/video/zLQE8tO5G90/видео.html
Topic:-Surface area and Volume of Revolution of curve
ruclips.net/video/q8SWoyDoNAg/видео.html
Topic:-Complex Analysis
ruclips.net/video/t9xW7UaZwZ0/видео.html
Topic:-Partial Differentiation
ruclips.net/video/bTs7ncA_AtY/видео.html
Topic:-Maxima and Minima of Two Variable
ruclips.net/video/NpR91wexqHA/видео.html
Topic:-Numerical Analysis
ruclips.net/video/rWyTk9eubKM/видео.html
Topic:-Differential Calculus
ruclips.net/video/WX6O9TiFYsA/видео.html
Topic:-Integral Calculus
ruclips.net/video/db7d_a0wiUg/видео.html
Topic:-Integral Transform
ruclips.net/video/GtXmS5YH7XM/видео.html
Topic:-Curve Fitting
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Topic:-Radius of Curvature
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Topic:-Jacobian
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Topic:-Envelop & Evolutes
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Topic: Infinite Series
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Topic:-IIT-JAM Mathematics
ruclips.net/video/eTp5wq-cSXY/видео.html
Topic:-GATE (Engineering Mathematics)
ruclips.net/video/p5rBJj5CKCg/видео.html
Topic:-Operation Research
ruclips.net/video/knZrhVkZ71Q/видео.html
Topic :- Series Solution
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Sir , your classes help us greatly.
We would like you to keep continue for us.
Thank you so much sir again♥♥
< I'm from Bangladesh>
these lectures are just amazing, thank you so much!
Today is my exam at 8:30am and I am watching this video at 3am.
Hope you did well.... Kal Mera h😂
@@vinnu181 yes bro bach gaya lekin en 3 rules mai se kuch aya hi nahi😅
You made Maths very much lucid for us.
YOUR VIDEOS ACTUALLY CLEAR ALL MY DOUBTS
Thank you sir for clearing my concepts , you are the best
Thanks a lot for your devotion ❤
Sir ,,Apke sbhi vedios bhot beneficial hai ..thankyou very much sir ..
Thank you so much sir. You explained it in an understandable manner.
thnku sir for your help... you are best math teacher for university purpose....
My exam is in 3 hours and I just completed 1 unit, gonna complete this 2nd one real fast from here ❤️
Really helpful sir!
Thank you so much!❤️
आपके सराहनीय प्रयास के लिए धन्यवाद......
Thank you sir for clearing my doubts
You are Amezing sir❤️
sir you were really amazing ,bcoz of you we are understanding each concept easly
Thank you sir for such clarity of concept your videos are really very helpful specially in last minute of University exams.❤❤❤
Thank so sir we owe lot of us to you videos are very helpful for university mcqs exam 2021
lagatar 3rd time in this Month is video ko dekh chuka hu jitna baar dekhta hu utni baar concept aur acche se clear hita hai
Thank you Sir
Thanx sir , 1 video is sufficient for all doubts.
Whatever you teach is understood in one go. Thank you sir. ❤😊
tnq u very much sir ur the best math teacher i have ever seen
Sir app ka bth shukria bth achi vedio h bth achi thra smjh ai
Great work sir. Lots of love form Nepal. Thanks a lot.
Amazing video sir thank u so much for this
Nice sir , samaj me aahi jata hai apaka video dekhke ,.
thanks sir ..bahut help ho rahi hai jiii
Thanku sir..your all videos are awesome🙏😊
Thank you so much sir such an wonderful explanation
sir, one and only one who give us a wonderful sessions...i.e, DR.Gajendra sir...
Thanks for your support video thanks again 👌