Real Analysis | Riemann Integral - Upper & Lower Riemann Integral | Definition With Examples

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This video lecture on Real Analysis | Riemann Integral - Upper & Lower Riemann Integral | Definition With Examples | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. What is Riemann Integral in Real Analysis?
2. Definition and Examples Of Partitions, Upper & Lower Riemann Integral.
3. This helpful For CSIR NET, IIT-JAM, GATE Exams.
4. This is Part Of Real Analysis.
#RealAnalysis #RiemannIntegral #UpperLowerRiemannIntegral #ShortTrick #EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing for NET, GATE, and IIT-JAM Aspirants.
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Time Stamp
Riemann Integral: Upper & Lower Riemann Integral
0:00 | An Intro
0:23 | Topic Introduction
1:13 | Lower Riemann Integral
2:46 | Upper Riemann Integral
3:25 | Riemann Integral
4:39 | Some Useful Summation
5:12 | Example 1
11:14 | Example 2
18:04 | Conclusion of video
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Dr.Gajendra Purohit

[@gajendrapurohit]

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[@studentsofmathematics8995]

Sir can you provide me all your notes as much as possible.

[@SirAhsanAbdullahPatel]

There is a mistake in L(f,p) of 2nd example sigma(n-1)=n(n-1)/2 while final ans is the same no issues in that

[@engineeringkekisse]

Final ans is same isliye sir ko pta nhi chla

[@deepakmurmu7732]

for Lower Riemann Sum my answer is (n-1)/2n and for Upper Riemann Sum the answer is (n+1)/2n so the function can't be Riemann integrable, right?

[@740teena]

@@deepakmurmu7732 yes ,you are right. But it is r - integral.

[@divyanshidwivedi2434]

@@deepakmurmu7732 it's r Integral bcoz both the values are same n-1/2n when we take common n then 1/2-1/2n left so n tends to infinity and the answer is 1/2

[@deepakmurmu7732]

@@divyanshidwivedi2434 Okk got it thank you🙏🙏

[@ambikabhardwaj33]

Sir please make a complete playlist for Reimann Integrals explaining all important theorems. It will be of great help indeed.

[@harshchoudhary5581]

Theorem konse lecture m h?

[@simransaini4248]

@@harshchoudhary5581 apko mili?

[@harshchoudhary5581]

@@simransaini4248 i just changed the channel

[@simransaini4248]

@@harshchoudhary5581 which channel?

[@gaganjotkour7560]

You are genius sir🙏🙏 Kush din pehle tak aapke channel par Riemann Integral ka video nhi tha aur aaj padhne lagi to aapne video daal bhi diye. Thank you sir🙏🙏

[@rkrashmi6628]

Thank u so much sir .Now I clearly understand everything.

[@aarushisharma7597]

sir your efforts in teaching us are appreciated, because of you I still like doing maths because you explain concepts so clearly, you are a blessing sir🙏

[@ummekulsum7309]

U r great..... thanks a lot Mujhe koi bhi doubt hoti h.... direct mai aap ki channel open krti hu. Aaj Tak easa nhi hua ki aap samjhay aur hame samjh nhi aye.....u r my favourite teacher I have ever

[@kabeerbutt62]

No doubt u r a Great Teacher..... Love from Pakistan....

[@anantmishra2251]

Such a nice explanation sir 👌👌

[@aashishkothawade935]

It was very helpful to me . Thanks sir🙏😊

[@manishabharti3964]

Respected Sir aap khud se question ka solution likhte hai to jyada achha rahta hai samajh me aata hai.. sir question smart board per hi likhkar aaiye but uska solution khud se video me kariye.. please sir 🙏🏻

[@krishnasreej3720]

Sir so if we wanted to find the infimum of a function is it sufficient to take its limit tends to infinity always?

[@Prakashkumar-hc2bp]

sir content bahut acha hai ...please upload more vedios

[@EnglishwithAjayraj]

16:02 formula [n(n+1)]/2 likhwaya tha apne formulae likhwate time sir......ab change kr diya......aise kaise

[@nishugill9477]

Thanku sir.. 🙏such nice video with full explanation.

[@NRUSINGHAPRASADMAHAPATRA]

Thanks sir 😊🙏🙏

[@H8editz]

Thank u sir for lucid explaination

[@priyankamodanwal4240]

You are great sir ji 💐

[@ninevlog4077]

Best of best Love you sir from Ist y IIT Kanpur

[@Rs_Ravi]

Dubte to kisti ka shara ❤ thankyou sir ..✨💕

[@greatgravyfoodchannel9704]

A huge tnq sir ,it becomes so easy to understand the concept ☺️

[@dronamrajuchandarshi9758]

Thank you sir

[@ganitgurukulam]

Excellent sir ji

[@vijaypatil4829]

Thanq sir aap ki videos mere liye bahut help full rahi hai

[@bhopalchauhan9135]

Thank you so much sir for this video.

[@shreyavishwakarma-so4jw]

Thanku sir, very useful content

[@jyotiranjanswain4041]

Sir plz upload videos for all theorems of this chapter.....

[@chandandebnath3782]

Sir plz continue this topic ,,,

[@kartikrajput2131]

Thank u very much sir for this video Please jaldi se video banate raho last sem h mera bsc ka

[@shivanshmishra2776]

Thanks🙏🙏❤❤ sir

[@DeepakKumar-kj9pi]

Very good explanation

[@arsh964]

Thankyou so much sir...🙏🙏...plzz theorems te v bnado video

[@iyeridli2671]

Sir the good thing bout ur channel is..... The vdos r very small.... That gives....A KIND OF MANIFESTATION TO THE VIEWER!!!! IT ATTRACTS THE VIEWER !!!

[@RahulKumar-mn4qc]

Best teaching sir ji

[@govindgarg4826]

Sir why we take lim n tends to infinity for finding inf and sup. Please clarify this please

[@vagetossyt9808]

Thanks sir ji

[@SaifHashmi-pc4gm]

Very impressive sir

[@hastag8782]

Thank you so much sir

[@AbhishekMaurya-mraw]

Sir thank you very much for help me

[@dileepchandrasatyam2321]

Thank you so much sir❤❤

[@mathsbykaransir4940]

Thankyou so much sir

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Nice

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Thank You Sir

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awesome sir

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Very nice sir 😀😀😀😀

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Thanks

[@Mathsguruabhishek]

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Thankyou sir

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Aap Bahut hi achha padhate ho sir ji

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Nice😊

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Sir pls upload vdo for abstract algebra - field extension

[@deveshkumar726]

Ossmm sir ❤️❤️❤️

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Very nice sir

[@vishal6575]

Thanku you sir

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Tx u so much dear sir 😊

[@himanshityagi1780]

Thanku sir.. Sir Riemann integral pr or video bhi bnaiye or iski theorms pr bhi plz sir🙏

[@neerajmangal9759]

Sir bsc mein mechanics par sir vedio bana do sir hamari 2 nd year bsc ki mechanics wala paper hai jisme velocity and acceleration , reactillinear motion , elastic string , central orbit,impact , friction hai sir in topic par bhi vedios bana do sir

[@kartikeyavashisth9641]

Constructive feedback : Don't rush through things incorrectly, for making a continuous video, the formulas were a little wrong, sir

[@missmamta8398]

Kon sa formula wrong hai bhai.....

[@missmamta8398]

Kon sa formula wrong hai bhai.....

[@shubhammarkhale9232]

Saara theory he galat hai

[@shubhammarkhale9232]

Dekho yeh Bina tagging bataye pura Riemann padha diya😅

[@nuralamsk3261]

Sir complete this series

[@AnuragSingh-ds7db]

Tq

[@adeshalok1929]

थैंक यू सर

[@parthsoni880]

sir nice video

[@mustafijurrahaman6596]

Osome video

[@manjuyadav1398]

Sir make more videos on Riemann like theoroms

[@meena5936radhika]

Nice sir

[@awaissherani5550]

Sir Do you have video lctr on riemann stieltjes Integral?

[@dhanushiyadhanu7057]

Sir please explain rimann steltjet

[@shraddhajain9010]

Sir bahut accha padhate h please is chapter m aur video banaiye na

[@rakeshranjansahu4541]

In last step of last question, (n-1)×n/2 not (n-1) (n-2) /2.

[@shakeenapa2269]

S

[@learner9188]

Yahan series 0 se start ho rha hai na ki 1 se, so you can check by putting a=0 & d=1 in [Sn = n/2{2a+(n-1)d}] this formula and you can also check a=1 & d=1 by using same formula.

[@bibhurawat8167]

Vahi aaye ga n(n-1) /2

[@nishanttyagi143]

@@learner9188 No bro..sir has done wrong here check throughly!!

[@ANKITKUMAR-cf8hm]

n*(n+1)/2 hota hi jbki apne n*(n-1)use kiya hai

[@saaahiiiiil]

haaaan main bhi wohi soch rha tha

[@narayansahu601]

Me bhi bhai

[@ShivamTiwari-sj8cc]

Yes bro (n-1)(n-2) ki jagah n(n-1) hoga

[@YTInfinite2M]

Sir please complete the Riemann integration all topic # please sir#🙏🙏🙏

[@biswajitbehera1027]

What is the partition on close interval 1,2

[@adityamanitripathi8146]

Sir Mechanics k part pr bhi video banaiye

[@upendras532]

Sir integral as a function of a parameter ka video banaye 🙏

[@nerdythings7758]

Sir aapne summation ka formula ek baar n+1 laga ya hai aur ek baar n-1 so decide one

[@abhishekgupta-of2dq]

👌👌👍🏻👍🏻

[@ABHISHEKTIWARI-wh8pp]

100 sal bad bhi no. 1 content rhega

[@ranjeetpandit8353]

Srji class ka timing kb hhh plzz suggest me

[@akankshaverma373]

Sir aap statics pr kb video bnaoge

[@ishagupta6811]

Sir board par Karo isme already ans hote hai to thoda samjhna difficult ho jata hai jab aap board par proper samjhate ho tab bahut acha samajh ata hai... Plz

[@sachinjangid3201]

Sir kuch video Riemann stieltjes integral per upload kar do please 🙏

[@shibanisahoo6785]

Please sir full chapter

[@durrani2114]

sir next class please

[@neerajmangal9759]

Sir rieman integral pe aur vedios bana do sir plz plz plz sir thoda detailed vedio chahiye

[@Singh106]

Sir bsc ke mock test ke liye koi aap h to बताइए

[@user-fl1hb6dr8k]

Sir, abstract algebra k concept to smj aajate h prr enke qeu. Smj nhi aate ki unnhe kese solve kare Sir, plz eske bare m kuch btaiye plz🙏🙏

[@aspirant2609]

sir riemann int Schwarz and youngs theorem particial derivation real value fun

[@shitaldeshmane7447]

Exam me questions kaise type k hote h Sir Riemann integrals k upper Net exam me

[@mohmadkamil4615]

Lower riemann and upper riemann integral ki value find kaise krenge sir hm.. Ye smjh ni Aa rha h pls, reply me from one example

[@Amirkhan-ds8mn]

🌹

[@mohmadkamil4615]

Lower riemann integral ka supreme and upper riemann integral ka. Inf.... Kaise find krenge agr koi interval se krna ho to

[@namrtadixit1713]

Sir 3rd video kab upload hoga

[@selfishheart5137]

Sir apki online classes kitne bze hoti h?

[@kartikrajput2131]

Sir reimann steiljs intigral upload karo

[@nikitasah5297]

Sir 3rd class please 🙏🙏🙏🙏

[@ShivamKumar-qf5om]

L(f, p) ❌ L(p, f) ✅

[@vikashpandey4221]

Sir 3rd video kb uplod hoga ........🤔🤔🤔🤔

[@sanjaykumarraushan3073]

Sir can l break (0,1) into (0,1/2, 1) for solution? But reimann integral value comes different

[@ShivamTiwari-sj8cc]

Upper integral and lower integral find karne ke liye upper sum ka inf aur lower sum ka sup nikalna padta And this value comes for most refined partition means n tends to infinity Upper sum ki limit le lo upper integral aa jayega aur lower sum ki limit le lo lower integral aa jayega

[@manjemukhiya5805]

IIT jam mein Riemann integral se question kaise aayega uske based question kaise karesir

[@learnreal2045]

What is difference between Rieman Integral and darbox Integral.