Numerical Integration - Trapezoidal Rule, Simpsons 1/3 & 3/8 Rule

[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel :- t.me/gajendrapurohit Instagram Handle : instagram.com/dr._gajendra_purohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Website:- gajendrapurohit.com/ Keep Watching OUR latest video. Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link To CSIR NET Maths Playlist : bit.ly/2R8sUjV Following Topics are also Available 1.Differential Calculus: bit.ly/2OTYXB0 2. Integral Calculus: bit.ly/34rLA1R 3. Differential Equation:- bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis: bit.ly/2OP8hGp 6. Numerical Analysis: bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform): bit.ly/37HRKg9 8. Statistics & Probability: bit.ly/2DmOt7Z 9. Operation Research: bit.ly/2pYYRjp 10. Matrices (Linear Algebra): bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation: bit.ly/2XU9y33 14. Special Function & Series Solution: bit.ly/2XRSU4l 15. Infinite Series: bit.ly/37K6gUI Please share it with your Friends Thanks Dr.Gajendra Purohit

[@yakshichaudhary8086]

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

[@boomusic5658]

Numerical integration, integration and newton quadrature same h ya difference🤔. Please reply me sir🙏 I have many confusion 😥

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Hiiii sir Numerical method ke liye kaun sa book reference me le plz sir

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Thanku sir for ur efforts 😀

[@swatbeauty5423]

sir what is the difference between analytical solution and semi analytical solution

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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 .

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True that, you literally stole my tongue's words!

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Me too

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me too brother

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Me too

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I also dude same daily routine

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covering a whole unit in one video .This man is awesome

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if there were many teachers like you,then the world of education will be better❤️Nice video sir

[@anshtanwar1813]

Yes you are correct =>The answer to Q4 is 1.187

[@bhargavv5380]

yep its 1.187

[@smritirani5527]

yes its the right answer

[@sushantsavilake5031]

Wasted about an hour trying to get 0.3

[@Rajanandz]

Yes

[@NJoy12721]

​@@sushantsavilake5031 same bro

[@rafiakhalid4999]

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!

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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 ♥️♥️

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@@AyushGupta-sn8mj 😂

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@@Storage-em4ru no

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I have scored 15/15 marks in GATE Maths by learning from your channel. Thank you Sir

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congratulations

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Hello sir I want some guidance from you

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Teachers like you are a blessing ❤️✨🤞

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One of the best maths teachers out there. If only the other subjects teachers were like you.

[@priyanka__verma]

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?

[@rahulgorai03]

clear and crisp concepts , thanks for saving me in my semester/CA3

[@gigachad6844]

Note: In calculus always understand logx as lnx and values in radians.

[@humane5218]

please tell me why?

[@munjee2]

@@humane5218 there's no specific reason it's just what the examiners had in mind when designing the questions typically

[@bhubaneswarsingha6607]

​@thisismarketif it is calculator fx 82ms will it be different

[@bhubaneswarsingha6607]

It's same

[@MrJorwal95]

💖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.....💝

[@talhamuneer2599]

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.

[@gajendrapurohit]

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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 .

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[@arihantratdiya319]

Thank you I have also confused cause my answer was different

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yes bro 1/h multiply hoga or whapar ans hoga 6.3

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U just completed my whole chapter with in 30 minutes and I'm confident for tomorrow's exam Thanks alot Sir❤🙏

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Yes sir same I also tnqqq sir

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How you're confident to write exam without practicing..

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[@mr.sudiptaseal7532]

Respected sir, please answer 1) Simpson's 1/3 rule it gives exact value of polynomial of degree ? 2) The degree of precision of Simpson's 1/3 rule is ?

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East or West GP sir is the best 😍

[@gajendrapurohit]

Hello VEERENDRA P uploads Thanks for Subscribing!, your appreciation always motivate us to do such kind work. Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit Please Share it With Your Friends Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK Keep Watching OUR latest video. Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-B.Sc. Mathematics kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-IAS Optional Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Engineering Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

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thnku sir for your help... you are best math teacher for university purpose....

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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

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You studying because of quarantine lol. I am doing it because I have exam in just four hours.

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Sir, you save me in every endsem exam, Thank You

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sir your videos are very accurate and to the point for our syllabus but sometimes you miss something like you don't explain something clearly.due to which I take help from others but it's okay.amd one more thing sir (avoid negativity) thanks a lot sir

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Great lectures. Pls also include lectures on abstract algebra and calculation of errors in numerical methods.

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[@zakriaali146]

Please solve Using Trapezoidal rule to find the area of the curve y=f(x) bounded by the lines x=a & y=b. (I think the answer is the prove of Trapezoidal rule) Dear Sir! Love you from Pakistan.❤❤❤

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Kya sir 3 hours topic 30 mins ma with full details.Impressive sir.

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Thanks sir 🙏 may God bless you

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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🙏💞

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Sir I have covered whole syllabus of BSc.Thanks for easy content

[@lincpentonic7825]

i think the last answer is 1.1468601 not 0.3779 of integration of root sinx in the interval of 0 to pi/2

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From Rajshahi University completing whole course in one night with your videos ....A lot of respect sir

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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 .

[@gajendrapurohit]

Hello Monika kundu Thanks for Subscribing!, your appreciation always motivate us to do such kind work. Please Share it With Your Friends Want to get notes and link of videos with latest update then Connect me on Telegram Link:- t.me/gajendrapurohit Keep Watching OUR latest video. Topic:- Differential Calculus For B.Sc. and Engineering Students kzbin.info/aero/PLU6SqdYcYsfIJRl8mo2Rv1MpdvmVD0YyI Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019 kzbin.info/www/bejne/bJ_NdKljgdabrpI Topic:- Matrics and Linear Algebra kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Fourier Series kzbin.info/www/bejne/hJXSpotrYrB3bLs Topic:-Differential Equation of First Order and First Degree kzbin.info/www/bejne/g5SylGmFiqhqhsU Topic:- Higher Order Differential Equation kzbin.info/www/bejne/qnnUqWSnraZrp5Y Topic:- Second Order Differential equation of Variable Coefficient kzbin.info/www/bejne/Z3mun2x_q76ce68 Topic:- Partial Differential Equation kzbin.info/www/bejne/rIuof2eEjc2gl8k Topic:- Vector Calculus kzbin.info/www/bejne/fJetpYmshtmkiq8 Topic:- Laplace Transform kzbin.info/www/bejne/e3W5e6KqorlobpY Topic:-Asymptote kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-Fourier Transform kzbin.info/www/bejne/faW7noZrjq1qjq8 Topic:-Curve Tracing kzbin.info/www/bejne/eZrSimt7odidhZY Topic:-Tracing Of Polar Curves kzbin.info/www/bejne/sH20dmuqhJp6b5I Topic:-Surface area and Volume of Revolution of curve kzbin.info/www/bejne/p2m2iKKvedSBd8k Topic:-Complex Analysis kzbin.info/www/bejne/qmrbiGqLlr-qkJI Topic:-Partial Differentiation kzbin.info/www/bejne/mIXWaKGZdsR0qrs Topic:-Maxima and Minima of Two Variable kzbin.info/www/bejne/hKG1amStmt2kfqM Topic:-Numerical Analysis kzbin.info/www/bejne/qIjchZ5vmtqVga8 Topic:-Differential Calculus kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-Integral Calculus kzbin.info/www/bejne/mpOalZKXZdyci8k Topic:-Integral Transform kzbin.info/www/bejne/faW7noZrjq1qjq8 Topic:-Curve Fitting kzbin.info/www/bejne/h6qUinSBj6l0bc0 Topic:-Radius of Curvature kzbin.info/www/bejne/p4icpJ-Il555n8U Topic:-Jacobian kzbin.info/www/bejne/j4nQlntnrsqpoc0 Topic:-Envelop & Evolutes kzbin.info/www/bejne/fmrbqX-Ojriledk Topic: Infinite Series kzbin.info/www/bejne/rJfKYqCjqLiAg68 Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Operation Research kzbin.info/www/bejne/oZ-9o5uMoL9qZ7M Topic :- Series Solution kzbin.info/www/bejne/pIjUloqbbJ6iZtk Topic :- First Order & Higher Degree Differential Equation kzbin.info/www/bejne/l4rVpIObepyBgrM Topic :- Simultaneous Differential Equation kzbin.info/www/bejne/j2mmd2NnnMeXlbc Topic:- Statistics & Probability kzbin.info/www/bejne/jGTMdqaChaZ3bJo Topic:-B.Sc. Mathematics kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-IAS Optional Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Engineering Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic: Important Question of Mathematics for Class 12th   kzbin.info/www/bejne/rInGoYWKmqp3iK8 Topic:- Important Question of Mathematics for Class 10th kzbin.info/www/bejne/bYqaloR8gZijpLc Topic :- Solution of Paper of Maths CBSE Exam 2019 Class 12th kzbin.info/www/bejne/fpiYg3uVbs2AocU Topic :- Solution of Paper of Maths & Science CBSE Exam 2019 Class 10th kzbin.info/www/bejne/pZSlfmeQetWCsNU Please share it with your Friends Thanks Dr.Gajendra Purohit

[@ankursingh7820]

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

[@shivamshrivastva4126]

In trapezoidal rule one thing is missed I.e 2(y1+y2+y3+......+y(n-1))

[@gajendrapurohit]

Hello Shivam Shrivastva Thanks for Subscribing!, Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit 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. Once again Thanks n keep Watching videos and share it with your friends Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK

[@jasminesoni8225]

No nothing is missed ,...

[@harshvardhan-so1bt]

Bhai sir ne 2 se eq ko multiply ker diya

[@harshvardhan-so1bt]

@@backchodinfluencer Bhai ques. Konsa h

[@harshvardhan-so1bt]

And which method

[@mrlipun2615]

Sir I was solving a problem and in that question the value of h was not given so I took it as the (lower-uper)limit / 6. But the value of Y⁶ came as undefined. Did I take the h value wrong?????

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Thanks a lot sir❤ because you helped lot of students like me🙏💕

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Greatest explanation ever i have seen in my life such a simplified one😊

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Thanks a lot sir , We can learn through your videos in such situations COVID-19, and also helpful for open University students.

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Ap bohot achchhe se padate ho,,, sab kuchh clear ho Gaya. God bless you 🥰🥰

[@dhruvsharma7365]

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 :(

[@anushkagupta2348]

Take the value of h = 1/3

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Awesome explanation sir!!!!!🤩

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Kal exm hai 😁

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Sir apka ka padhaya gya easily se smjh aa jata h aur formulae learn bhi ho jate h easily, thanks alot of u, sir🙏🙏🙏🙏🙏

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Thanks a lot sir! You are a life saver! Wish you more and more success!

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Very very धन्यवाद सर जी 🙏

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Iam now also addicted to pubg😀

[@cooku14]

Sir .. The formula for trapezoidal rule is h/2 [( y0 +yn) + 2(y1 + y2 +.... +yn-1)]

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kitne buddhiman ho bhai tum

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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

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Bahut hi easy language me samjha diya sir aapne to Pta hi nhi chala ye itna hard topic itna easily cover ho gya😘😘🙏🙏

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These exams after covid were relieved by your videos sir... Thanks for explaining clearly

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Thankyou sir Thankyou so much for teaching numerical analysis 🙏🙏

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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 🙏🙏

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Thanku sir . You are teaching marvelous!

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Thankyou so much sir 🙏🙏🙏

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Sir countless respect and love for you from Bangladesh

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Great explaination

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Thank you sir.

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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🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

[@vrdmathsclasses6505]

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 🙏🙏🙏🙏

[@SaurabhKumar-bh3eh]

🙏

[@shahtaj3277]

Thanks, Thanks so much for your Great efforts and I really like your way of teaching. May God Bless you with good health, wealth, Prosperity , Success and Happiness Amen😊. And please add the error calculating topic to these questions please.😇

[@theyuvrajyadavv]

legends are watching this at exam time 😁😂

[@UNKNOWN-ui8yp]

legends nahi gawar dekhte hey exam time per

[@lavishchauhan2732]

Up corse bro 😂

[@lavishchauhan2732]

​@UNKNOWN-ui8yp chl

[@snehadey883]

Correct 💯

[@theyuvrajyadavv]

@@UNKNOWN-ui8yp haa vahi gawar phir ek din me pd kr tum jeso se jyada number le aate he.

[@muhamadhamza4065]

hello sir ! M Hamza Khan from Pakistan, your videos are very helpful for us in preparation of any sort of exam.

[@joshibhuwan4991]

Legend's-bhai kl exam h abhi dekh leta hu 😂😂

[@rabiakhanrabiakhan9916]

Sir app ka bth shukria bth achi vedio h bth achi thra smjh ai

[@AnkitRaj-tk2rr]

25 min me exam hai 😅😅

[@amanakram2102]

Subhan ALLAH😅😅

[@EmanFatima-sb9ke]

Kafi jldi smjhny a gy ap Tu 😅

[@ChikuuuTries]

Same here 🥲

[@tanupatwal136]

To etna kyon itra rha fail h tu

[@sweetysarova3348]

Thanku sir for this video It was very helpful Explanation is very easy to understand 🙌👌👏☺️

[@danishzia6442]

Allah Pak ap ko Iman Ki daulat Sa BHI mala maal farmae ameen

[@DoubleL_Leo]

Sir apka bahut bahut dhyanavaad

[@shinchannohara7653]

Only Legends are watching lecture vidios before the exam time thats why they always score higher max in the bottom 😂😂😂

[@mmuzammal760]

@@shinchannohara7653 You are absolutely Right ✌🏻😂💯

[@shaguftaakhtar2546]

All clear sir but just have one doubt in problems between trapezoidal and others that you used h = 1/3 in this in 1 Q. and 1/6 in others

[@recepton.]

Today is my exam at 8:30am and I am watching this video at 3am.

[@vinnu181]

Hope you did well.... Kal Mera h😂

[@recepton.]

@@vinnu181 yes bro bach gaya lekin en 3 rules mai se kuch aya hi nahi😅

[@SiddharthGautam-xj1sp]

best teacher ever

[@lokeshdevarth3915]

आपके सराहनीय प्रयास के लिए धन्यवाद......

[@apurvakhapekar8888]

Sir ,,Apke sbhi vedios bhot beneficial hai ..thankyou very much sir ..

[@KOOP_MANDOOK]

excellent way of teaching thank sir for teaching us

[@himanshik9934]

Whatever you teach is understood in one go. Thank you sir. ❤😊

[@shivanker12]

Great work sir Complex ko easy krke sikha dya 🎉🎉🎉

[@studyafa7159]

kitne kam time me kitna jyada sir cover karva detea hain jaha colleges me inhi topics ko 1hr ki classes lagti hain 6 -6 mahine sir ki video me vahi same chiz 1hafte me khatm ho jati hai salute you sir

[@akramshaikh807]

Thankyou so much sir. I was forgotten and very confused in these three method. Now I am clear. Thankyou again

[@sandhya78]

Thanku so much sir .you are the best mathematic teacher .your all videos are so helpful .

[@minakshi6453]

Sir agr hm kisi question ko ek bar toh 6 interval m divide krke solve krtey h or dusra usi questions ko 10 interval m divide krke krtey h toh same answer aayga ya different different aayga sir

[@demonrifat7029]

Great teaching... from Bangladesh

[@himanshurawat9396]

Sir minimum interval 6 hi lena h?..simpson 1/3 me bi ....kyuki usme toh hum even interval (2or 4) bi Toh le skte h ?

[@MdArif-ty7ks]

sir thanks a lot,,mea bangladeshi hoon,,apka lecture so nice,,muje bohoth accha lagrai heaa,,

[@shubhampanday6695]

sir, i gratitude to you sir! i was a nigh to fail in math matics sir i am very proud to you you are teaching sir

[@sumitkumarshaw8333]

Amazing teacher ❤️... For just u i got to cover my syllabus

[@shubhamparte9045]

U r one of the best teacher for online classes we are all doubts are clear understand when watch your video sir love you 😙

[@UnboxingAnime-x2m]

i am from bangladesh....thanks for giving these videos ...our full department is your fan sir.....

[@waqarali5458]

Sir can't we divide pi which is 3.142 by 4, then we'll get 0.7854 ,which is equivalent to Trapezoidal, simpson 1/3 & 3/8 rule?? bcz in our book it is solved as above i.e value of pi is 0.7854

[@a-046nilotpalchatterjee3]

Awesome explanation sir

[@divyegandhi2092]

Thx