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those who have doubt that how sir have take R tends to infinity first then z tends to infinity in next qs , so i would like to tell it's human error , actually in the question he had take z tends to infinity in that , in second step he should first write -R to R not - infinity to infinity in RHS side of theorem then on taking R tends to infinity those limits -infinity to infinity, he did same mistake in next question too but there he taken initially -R to R but then mistakenly he put z tends to infinity instead of R tends to infinity.
Sir You are the legend because in the college when teacher taught us i understand half but now after watching your video i understand full concept so you are the real legend Sir I salute To you sir
16:35 L ' Hospital rule [ when 0/0 comes after applying Limits ] then u have to do Differentiation of Num & Den separately until it does not give 0/0 on applying limits
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yahi hota h sir phd krne k bad ....-infinite se infine ka adha 0 to infinite..wahhh bahut sahi logic..mtlb jisko odd even function ni pta usko to ap hava hava me le rhe ho h na...patience se padhaya kriye sir...ye soch k ki hr tarah k student padh rhe hain...
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At 3:25 things are not clear please discuss more over it.... How, when the limit R tends to infinity leads to contraction of semicircle in y axis.. However I found your channel extremely useful and conceptually rich
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Sir, as theorem said no poles on real axis but sir if there is no poles inside or on the contour therefore the integral must be zero there for -R to +R integration should be zero?
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Sir, there is also same process in cauchy's residue theorem then what is the use of contour why we cannot solve it directly by cauchy's residue theorem because the CR part always becomes zero.
Sir You teach very nicely❤️🙂. Last question mein Poles nikalne ke liye Aap ne n=0,1,2,3. Toh kaise malum ki kaha tak nikalna hai.. And is it necessary to start n=0,1,2.. Can't we do random selection. For value of n Zarori hai ki sab consecutive ho. e. g 2,3,4,5 or 1,2,3,4...
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When R tends to infinity toh the semicircle also goes to infinity then why did you say that poles outside chale jayenge? Poles toh andar rhenege aur semicircle ka radius infinite ho jayega. Toh please explain kaise apne usko directly zero kar diya?
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Sir , Your explanation is so fast to observe ... Also u skip some points ... In this vedio quest. 1 u took R tends to infinity & in next quest. U took Z tends to infinity why ?????? Sir, Please upload vedios by keeping an eyes on Diploma passed graduation students also..
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sir , I like ur method of teaching.I have a doubt... isme hmne residue nikalte time same formula kyu ni lgaya ... dat denominator me roots likh k like (z-e^iπ\4)×(z-e..)(...)(...) then jiska reside nikalna vo cancel hojega niche vle k sath ???
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evaluate integration of 1÷(z^2+1)(z^2+4)dz where c is the circle |z| =3÷2 ye konse formula se solve kare (by Cauchy integral formula or Cauchy residue formula) pls solve kar ke batai pls
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It is solve by cauchy residue theorem easily..... We find its 4 poles= i,-i,2i,-2i....but we see that 2i&-2i are does not exit in this circle so we find residue at i,-i..... And after solve this we find its ans is 0.
in all the cases the functions which have been integrated are non divergent at x=0 but if it isnt defined at 0.. such as improper integral of sin(x)/x... plz make a vdo on them too
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Sir serise solution of differential equation and improper integral ; frobenius method for series solution of a differential equation; Simultaneous differential equation ka video dal dijiye sir
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Sir your video is nice but please little slow teach because I try to understand but your explain very fast that's way most time i can't understand the major concept.
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Sir, have you uploaded any video lecture regarding SLP,BVP,IVP and existence and uniqueness of differential equation? If yes then from where can I find it.
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Sir second line me square dena vul gye app😅
those who have doubt that how sir have take R tends to infinity first then z tends to infinity in next qs , so i would like to tell it's human error , actually in the question he had take z tends to infinity in that , in second step he should first write -R to R not - infinity to infinity in RHS side of theorem then on taking R tends to infinity those limits -infinity to infinity, he did same mistake in next question too but there he taken initially -R to R but then mistakenly he put z tends to infinity instead of R tends to infinity.
Sir You are the legend because in the college when teacher taught us i understand half but now after watching your video i understand full concept so you are the real legend Sir I salute To you sir
16:35 L ' Hospital rule [ when 0/0 comes after applying Limits ] then u have to do Differentiation of Num & Den separately until it does not give 0/0 on applying limits
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That's what he did...
yahi hota h sir phd krne k bad ....-infinite se infine ka adha 0 to infinite..wahhh bahut sahi logic..mtlb jisko odd even function ni pta usko to ap hava hava me le rhe ho h na...patience se padhaya kriye sir...ye soch k ki hr tarah k student padh rhe hain...
abbe number serieS SIKHLE pehle gawar!!! ye to easy concept haee.....or kese samjhaye sir
Thank You, this is literally the new way to learn, I can pause, rewind and reunderstand it during the exams, thanks a lot
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SIR YOU ARE A SAVIOR . THANK YOU SO MUCH SIR
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At 3:25 things are not clear please discuss more over it.... How, when the limit R tends to infinity leads to contraction of semicircle in y axis..
However I found your channel extremely useful and conceptually rich
contour integration ka doubt pucha ek ldki ne, meine face time krke smjaya🌚, all thanks to u sir, bus set hojaye, please guyz wish me luck🌚
Ache teachers se padne ke baad lagta hai ki aap bhut Rough padate hain, kisi bhi topic ka koi knowledge nahi dete sirf formula and example,
Achchha teacher mujhe bhi batade bhai.
Kis teacher se padha bro..... Please bta do
Kisiko Phd nhi krni bhyii - chepo marks lao aage badho , Paisa kmao seedhi si baat hai ! Koi knowledge nhi chahiye
Ekdam shi baat boli didi@@sonaibanerjee5073
i m preparing for net physics. and we have one topic called mathematical methods in physics. Ur videos are really helping a lot sir thank u so much...
At 9:15 , integration of 1/[(z^2 + 1]^2dz = integration of 1/[(z^2 +1) ]dx + integration of 1 /[(z^2 + 1)]dz,why?? How???
-infinity to +infinity integration of 1/(x^2 + 1) dx + CR integration of 1/(z^2 + 1)dz, maybe this is the thing
Ur way of teaching outstanding
very very helpful video😊thank you sir ☺️
Millions of student will always support nd stand for you, keep it nd make a vedio like this then we could be able to recieving this vedio help for preparing our exams
BIGGEST THANK YOU🙏
4:51 pm
Wednesday, 5 June 2024 (IST)
Time in Nasirabad, Rajasthan
Thankyou so much sir for sharing your excellent knowledge.....
Really you are doing a hard work for excellent understanding of topic for your student either they will study by sitting infront of u sir or like me and many more on UA-cam by your every video lecture.......
Once again THANK YOU SO MUCH SIR...........🙏🙏🙏🙏🙏🙏🙏🙏
THANKYOU GURUJI
But sir by chance( x^2+1)^2 k jaga (x^2+1) likh diya tha apne but it's ok, I understood.
Ok
Bhai tumhara comment dekhne ke baad Mera dhyan gyaa
👍🏻
Sir, as theorem said no poles on real axis but sir if there is no poles inside or on the contour therefore the integral must be zero there for -R to +R integration should be zero?
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Revision Class | Board Exam 2019
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Topic:- Asymptotes
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Thanku sir you are the legend of the mathematics,
Nice class sir 🙏🙏🙏
Sir, there is also same process in cauchy's residue theorem then what is the use of contour why we cannot solve it directly by cauchy's residue theorem because the CR part always becomes zero.
Sir
You teach very nicely❤️🙂.
Last question mein
Poles nikalne ke liye
Aap ne n=0,1,2,3. Toh kaise malum ki kaha tak nikalna hai..
And is it necessary to start n=0,1,2..
Can't we do random selection. For value of n
Zarori hai ki sab consecutive ho.
e. g 2,3,4,5 or 1,2,3,4...
You are best teaching sir
Great lecture
Thanks sir keep uploading and cover this whole complex variable unit by uploading videos 🙏🙏
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Thank you sir for your video.
sir u help us a lot i can`t explain
thankyou very much sir .
Hello sir,
Can explain two questions
1. 0 to infinity integration 5^-4x^2 dx
2. 0 to 1 integration x^p-x^q/log x dx where p,q>0.
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When R tends to infinity toh the semicircle also goes to infinity then why did you say that poles outside chale jayenge? Poles toh andar rhenege aur semicircle ka radius infinite ho jayega. Toh please explain kaise apne usko directly zero kar diya?
Thank you sir...you describe such topics too easily...and it's so easy to understand
Thankuu so much sirr for ur videos.. Your way of teaching is fab👌👌
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@@gajendrapurohit thax
Thank you sir it help me solve my doubts
thanks a lot sir for providing lectures.
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Excellent way of teaching
very good video
Sir thank u very much to being a such video which help me lot of to preparing exam
Heeyy Rekha were are you from?
8:43 ye tabhi valid hai jab function even ho
Sir thankyou so much pls include liouvilles theorem as well
Thank you very much fr share this video.
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sir, really you are awesome.....also your videos helps a lot, and motivates me to study and comment✌✌😊
very nice teaching sir, thank you.
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sir isn't is would be R approaches infinity? at 12:33
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Sir thank you very much for these tutorials! It helped me greatly in my end-sem exams!
Sir , Your explanation is so fast to observe ...
Also u skip some points ...
In this vedio quest. 1 u took R tends to infinity
& in next quest. U took Z tends to infinity why ??????
Sir, Please upload vedios by keeping an eyes on Diploma passed graduation students also..
this really helped a lot
Thanks a lot
17:48 par konsa concept lagaya r1 or r2 ke liye yeh samaj nhi aaya
Thank you sir
Very nice explanation
Very helpful👍👍
Thanks a lot sir for making this video
16:49 z1=e^i(pi)/4. NOT Z1=e^3i(pi)/4
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Woh z1 cube likha h
JAI SIYARAM JAI HANUMAN JI
sir , I like ur method of teaching.I have a doubt... isme hmne residue nikalte time same formula kyu ni lgaya ... dat denominator me roots likh k like (z-e^iπ\4)×(z-e..)(...)(...) then jiska reside nikalna vo cancel hojega niche vle k sath ???
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yes
evaluate integration of 1÷(z^2+1)(z^2+4)dz where c is the circle |z| =3÷2 ye konse formula se solve kare (by Cauchy integral formula or Cauchy residue formula) pls solve kar ke batai pls
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It is solve by cauchy residue theorem easily..... We find its 4 poles= i,-i,2i,-2i....but we see that 2i&-2i are does not exit in this circle so we find residue at i,-i..... And after solve this we find its ans is 0.
@@kunwarmayanksingh8026 shouldn’t it be 1/6i?
Thank you guruji 🙏👍👍👍
thank u so much it is very helpful to me
in all the cases the functions which have been integrated are non divergent at x=0 but if it isnt defined at 0.. such as improper integral of sin(x)/x... plz make a vdo on them too
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Sir if the poles of the function has poles on real axis then what will be the residue? Please reply.
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Nice explanation 👌
mind blowing sir
Thank you so much sir for helping us
superb sir
thankyou
Great job
In last question why did the 2 got multiplied in the denominator?
Nicely explained
thank u sir for sharing ur knowledge
Brilliant sir
In the first example R -> ♾️ but in the second one z -> ♾️ why is that ? or is it the same?
Good work sir
Sir serise solution of differential equation and improper integral ; frobenius method for series solution of a differential equation; Simultaneous differential equation ka video dal dijiye sir
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sir rectangular contour pr bhi plz ek video daal do
will do one by one
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tysm for these wonderful videos
Thank you sir 😌
Sir Gaussian integral par bhi video banaiyega ...thanks!
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Very helpful
Sir what if f(z) is an odd function, then we can't write 0 to infinity as 1/2(-infinity to + infinity), then how can I solve ?...
Try using Cauchy principal value
Nice
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Thanku sir kuch n times ke contour bta dijir
Sir can u upload video for solving integral whose pole lies on real axis
Thanks a lot from Bd
there are 4 types for contour integration....are there videos for other 2 ??
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Can u name 4 types of contour integration ?
@@mapapa445 4 types means four forms of intergrals...i cannot type the integrals here.
You can refer a book
Complex analysis ka aur video uploal kijiye....for M.Sc.1st year....
Thankyou sir 😃
Sir thoda proof ka video banaaiye khaali problem solving se kya hogaa !
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good job sir
Sir apne 11:51 pe galat solve kiya hai π/2 answer aayega
I was checking if video is ×1.5 Speed or not......😀
what shows that it is a UPPER HALF CIRCLE
THANKS
yes plz clear
Sir your video is nice but please little slow teach because I try to understand but your explain very fast that's way most time i can't understand the major concept.
Sir for solving R in problem 1 ww do not take d/dz ,what is the reason
Nice sir
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Sir, have you uploaded any video lecture regarding SLP,BVP,IVP and existence and uniqueness of differential equation? If yes then from where can I find it.
will do but it will take time ..
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Topic:- Laplace Transform
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Topic:- Double Integration & Area By Double Integration
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Topic: Integral Calculus
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Sir if u take R infinity then Cr also goes infinity
Thankyou
Thank u sir
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Topic:- Class 12 Maths NCERT - Continuity
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Topic:-
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Topic:- Matrics and Linear Algebra
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Topic:- Partial Differential Equation
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Topic:- Vector Calculus
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Topic:- Laplace Transform
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Topic:-Asymptote
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thank you sir!...
Integral minus infinity to plus infinity x square by x square +a square whole square solve kar k dou sir g