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

[@gajendrapurohit]

Join Me On Telegram For Important Updates - t.me/mathbygpsir 🔥👍

[@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?

[@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

[@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🙏🙏

[@ninevlog4077]

Best of best Love you sir from Ist y IIT Kanpur

[@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 🙏🏻

[@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 !!!

[@Rs_Ravi]

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

[@EnglishwithAjayraj]

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

[@rkbeniwal9988]

Aap Bahut hi achha padhate ho sir ji

[@IITianDhruv001]

Thank you sir ❤

[@vijaypatil4829]

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

[@krishnasreej3720]

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

[@Mathsguruabhishek]

Sir PGT maths ke video bna dijiye plz .. UPGIC ,UPPGT, DSSSB

[@Hashmi1234-t9g]

Very impressive sir

[@shraddhajain9010]

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

[@greatgravyfoodchannel9704]

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

[@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🙏

[@himanshityagi1780]

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

[@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!!

[@Prakashkumar-hc2bp]

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

[@rkrashmi6628]

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

[@RahulKumar-mn4qc]

Best teaching sir ji

[@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

[@NRUSINGHAPRASADMAHAPATRA]

Thanks sir 😊🙏🙏

[@viveksrivastava8183]

Very nice 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😅

[@ganitgurukulam]

Excellent sir ji

[@chhandaduttadutta827]

Thank you so much sir

[@aniketeuler6443]

Very nice sir 😀😀😀😀

[@adityamanitripathi8146]

Sir Mechanics k part pr bhi video banaiye

[@nerdythings7758]

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

[@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

[@ABHISHEKTIWARI-wh8pp]

100 sal bad bhi no. 1 content rhega

[@shivanshmishra2776]

Thanks🙏🙏❤❤ sir

[@arsh964]

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

[@ranjeetpandit8353]

Srji class ka timing kb hhh plzz suggest me

[@VikasVerma-ey3jx]

awesome sir

[@YTInfinite2M]

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

[@dhanushiyadhanu7057]

Sir please explain rimann steltjet

[@jyotiranjanswain4041]

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

[@kartikrajput2131]

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

[@selfishheart5137]

Sir apki online classes kitne bze hoti h?

[@akankshaverma373]

Sir aap statics pr kb video bnaoge

[@govindgarg4826]

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

[@Neerajj234]

Sir ek video 📷 asntod per bana dijiye calculas

[@bhopalchauhan9135]

Thank you so much sir for this video.

[@vikrantkaushik6112]

Thanks sir

[@chandandebnath3782]

Sir plz continue this topic ,,,

[@nuralamsk3261]

Sir complete this series

[@ShivamKumar-qf5om]

L(f, p) ❌ L(p, f) ✅

[@DeepakKumar-kj9pi]

Very good explanation

[@dileepchandrasatyam2321]

Thank you so much sir❤❤

[@adeshalok1929]

थैंक यू सर

[@shreyavishwakarma-so4jw]

Thanku sir, very useful content

[@bhawanshsharma7670]

Nice

[@manjuyadav1398]

Sir make more videos on Riemann like theoroms

[@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

[@anantmishra2251]

Such a nice explanation sir 👌👌

[@aashishkothawade935]

It was very helpful to me . Thanks sir🙏😊

[@siddheshthakur8079]

Thanks

[@nishugill9477]

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

[@priyankamodanwal4240]

You are great sir ji 💐

[@meena5936radhika]

Nice sir

[@H8editz]

Thank u sir for lucid explaination

[@vishal6575]

Thanku you sir

[@AbhishekMaurya-mraw]

Sir thank you very much for help me

[@gnsboy6115]

Tx u so much dear sir 😊

[@parthsoni880]

sir nice video

[@mustafijurrahaman6596]

Osome video

[@saurabhsingh4732]

At 16:08 sir you write ( summation ) n formula n(n-1)/2 instead of n(n+1)/2 , why ? 🙄

[@Hindi_Horror_Stories_219]

n/2{2a+(n-1)d} formua here a=0 d=1 n/2{0+(n-1)1} n(n-1)/2

[@saurabhsingh4732]

@@Hindi_Horror_Stories_219 O,1,2,3,4,5,6,7,8,9,10 Sn = n/2{2a+(n-1)d} Summation n formula = n(n+1)/2 Which should I used ? 🙄

[@Hindi_Horror_Stories_219]

@@saurabhsingh4732 wo formula use karne par yh nikal jata hai , n/2{2a+(n-1)d} is always best, n(n+1)/2 is a special case formula

[@saurabhsingh4732]

@@Hindi_Horror_Stories_219 Questions: Sum of all terms 0,1,2,3,4,5,6,7,8,9,10 Sn = 11/2{2×0+(11-1)1} = 11/2{10} = 55 Here a = 0 , d = 1 . *OR* Summation n formula = n(n+1)/2 = 11(11+1)/2 = 66 Here n = 11 terms . Correct answer is 55 . Both formula are correct which formula should I used to get right answer ? To phir summation n formula se answer galat kyu aa rha hai

[@Hindi_Horror_Stories_219]

@@saurabhsingh4732 1st n(n+1)/2 is applicable on those summation series whom start with 1, ok, 0,1,2,3,4........... starts from zero, not from one if you want to apply n(n+1)/2 here then do like this 0+1+2.....+10 = 0+10(10+1)/2 =0+55 =55

[@Singh106]

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

[@deveshkumar726]

Ossmm sir ❤️❤️❤️

[@awaissherani5550]

Sir Do you have video lctr on riemann stieltjes Integral?

[@neerajmangal9759]

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

[@sachinjangid3201]

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

[@simranathghara6144]

Nice😊

[@upendras532]

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

[@manjemukhiya5805]

Sir Riemann integration ka iit jam ka question answer pe video daliye

[@shitaldeshmane7447]

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

[@vikashpandey4221]

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

[@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🙏🙏

[@ziyatasleembijapur7660]

Sir app ne infimum and supremum nikalne ke ley limit ka istmal kyun kya?

[@kartikrajput2131]

Sir reimann steiljs intigral upload karo

[@namrtadixit1713]

Sir 3rd video kab upload hoga

[@kajalsinghrajawat9905]

Sir pls upload vdo for abstract algebra - field extension

[@manjemukhiya5805]

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

[@nitukumari2844]

Aap kaha se ho sir....main Ranchi se hu

[@amarprakash553]

Mai v khunti se.

[@shibanisahoo6785]

Please sir full chapter

[@mohmadkamil4615]

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

[@amirsohail6436]

Sir surface and plane curves pr lecture upload kr dain please sir

[@AnuragSingh-ds7db]

Tq

[@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

[@sundaymanvlog5472]

Sir physics ka koi teacher batao jo aap ki tarh acha padhatha ho

[@mahfoozahmad4846]

sir ek request screen ki brightness thik nhi h subscript me likha hua letter samajh nhi aata h pls usko thik kr den

[@hackcrime66]

Sir text is very dim it might be invisible somewhere

[@learnreal2045]

What is difference between Rieman Integral and darbox Integral.

[@nikitasah5297]

Sir 3rd class please 🙏🙏🙏🙏

[@durrani2114]

sir next class please