17. Cauchy's Integral Formula | Problem#2 | Complete Concept

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  • Опубліковано 21 жов 2024
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    Topics covered under playlist of Complex Variables: Derivatives, Cauchy-Riemann equations, Analytic Functions, Harmonic Functions, Complex Integration: Cauchy Theorem, Cauchy Integral Formula, Taylor and Laurent Series, Singularity, Residue.
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КОМЕНТАРІ • 151

  • @sodiq_5
    @sodiq_5 Рік тому +13

    For someone who doesn't even understand the language, this is just too easy to understand. Thank you

  • @creestee2229
    @creestee2229 6 років тому +86

    Wow not even in English, and I still understood everything you said. Thank you!

    • @imvictimizedwiththepersono2571
      @imvictimizedwiththepersono2571 4 роки тому +5

      EXACTLY

    • @prerza
      @prerza 3 роки тому +4

      @@imvictimizedwiththepersono2571 omg is that taehyung in your profile pic? :0 army 🥺🤝🏻💜??

    • @ameyaparekh9821
      @ameyaparekh9821 3 роки тому +11

      @@prerza holy shit bts stans are everywhere

    • @prerza
      @prerza 3 роки тому +4

      @@ameyaparekh9821 we are :') hehe

    • @paribhandarkar3503
      @paribhandarkar3503 3 роки тому +3

      @@prerza ARMYs 💜💜💜

  • @safeegull22
    @safeegull22 2 роки тому +2

    Trillions Thanks, I think our professor should learn from u

  • @thabog4525
    @thabog4525 5 років тому +7

    thanks a bunch sir!!!!We very lucky to have people like you.

  • @melindabaye439
    @melindabaye439 3 роки тому +5

    very easy to understand,,Thank you

  • @JeffMainza-jo1ks
    @JeffMainza-jo1ks 2 місяці тому

    You are blessed in explaining this is powerful

  • @souvik.fingtore
    @souvik.fingtore Рік тому +2

    OSM sir
    Wonderful expansion ❤
    U must have millions of subscribers ❤😊
    Love from Jadavpur University (West Bengal) sir 🌝✨👑

  • @perrystudyonline
    @perrystudyonline 2 роки тому +2

    Excellent sir. God bless you

  • @_vl_nunzami_
    @_vl_nunzami_ 4 роки тому +5

    i understand it within a shot. even though i dont understand hindi. thank you sir... very helpful, please keep it up!!

    • @mohdnajeeb333
      @mohdnajeeb333 4 роки тому

      Also watch my vedio Cauchy's Integral Formula (proof) on my Channel
      Please Subscribe My Channel.
      #UA-camrStudy

  • @dineshcham1278
    @dineshcham1278 4 роки тому +2

    Simple and neat explanation..tq sir!

  • @fahidahmed5305
    @fahidahmed5305 3 роки тому

    It's very helpful. Thank you soo much Sir.
    Love from Bangladesh

  • @reallifevlogs5543
    @reallifevlogs5543 5 років тому

    Mja aagya sir aap n hote toh kya hota ....bht acha smjate ho aap ....or acha h English m nhi smjate aap ....i appreciate sir

  • @jayeshsolanki3479
    @jayeshsolanki3479 5 років тому +3

    Thanks sir God bless you

  • @timetraveller3698
    @timetraveller3698 3 роки тому +1

    You are God sir. Thank you so much

  • @Gaming-rz6ui
    @Gaming-rz6ui 2 роки тому +1

    Again good video 👍👍👏

  • @sriramansubramaniam9906
    @sriramansubramaniam9906 6 років тому +5

    sir, how do we proof that the singularity point outside of the circle is equals to zero?

  • @contents..3847
    @contents..3847 5 років тому +1

    Sir can you please put some more examples on this topic.. By taking different centres..
    And also thanks.. You are a good teacher...

  • @pauldavidsalins
    @pauldavidsalins 5 років тому +1

    Thanks sir. Very useful sir.

  • @Krishna-xj1uv
    @Krishna-xj1uv 4 роки тому

    good bro it Will help my supplys
    ones again tq br

  • @ranjitthakur55
    @ranjitthakur55 3 роки тому

    You have Great sir

  • @Ratnovai
    @Ratnovai 8 місяців тому

    Wow nice.....also your voice is same as Shahrukh khan (srk)😮

  • @alishamirza326
    @alishamirza326 5 років тому +4

    Starting 0:34

  • @tuhinsaha8112
    @tuhinsaha8112 2 роки тому

    You are great sir

  • @NehaYadav-mp4cl
    @NehaYadav-mp4cl 3 місяці тому +2

    Right answer -πi/2 hoga

  • @saniafatima7101
    @saniafatima7101 3 роки тому +1

    Perfect 👌👌👌

  • @divyrajverma8286
    @divyrajverma8286 5 місяців тому +2

    हर हर महादेव जय माँ भवानी जय श्रीराम जय माँ सीता जय हनुमानजी❤ 🙏🙏🙏🙏🙏🙏❤❤❤❤❤❤🚩🚩🚩🚩🚩🚩🚩🚩🚩🚩🚩

  • @fazalsubhan5379
    @fazalsubhan5379 Рік тому

    Thank you sr ❤️

  • @usa9648
    @usa9648 2 роки тому

    Thank you SO much❤

  • @sarashaikh1666
    @sarashaikh1666 3 роки тому

    thank you soo much sir!

  • @sugandhasaxena4873
    @sugandhasaxena4873 6 років тому

    Worth watchng.. Thanku..

  • @ujjwalsikka524
    @ujjwalsikka524 3 роки тому

    very well explained

  • @kumaramar1995
    @kumaramar1995 7 років тому +2

    Plzz make a video on probability and statics on gate perspective..

    • @yoursvikram__
      @yoursvikram__ 4 роки тому

      Yaaar center kaise 0,0 nikall lete ho sir g... Baki kaye questions me center 1, 0 hai books me meri ..
      Center find krne ka asan trika batado koi
      Batana bhai

  • @kalpanakoirala8835
    @kalpanakoirala8835 6 років тому +1

    thank you sir. i still have doubts on this topic

    • @yoursvikram__
      @yoursvikram__ 4 роки тому

      Yaaar center kaise 0,0 nikall lete ho g Baki kaye questions me center 1, 0 hai books me meri ..
      Center find krne ka asan trika batado koi

  • @keshosingh5645
    @keshosingh5645 4 роки тому

    thank you Sir very much

  • @satyagupta5498
    @satyagupta5498 4 роки тому

    so satisfying

  • @charuyadav6854
    @charuyadav6854 5 років тому

    Sir aap circle bhut bdiya bnate hai ek dm gol

  • @DarkSlayerphlc
    @DarkSlayerphlc 5 років тому

    Thanks Professor!!!!!

  • @amritpalsinghsaini2575
    @amritpalsinghsaini2575 5 років тому +2

    If I have an integral of 1/z^2 - 4 then will f(z) be 1 and z-a will be z^2 - 4 ?? How should we proceed further then to evaluate f(a) ??

    • @chokkarm2573
      @chokkarm2573 3 роки тому +1

      Suppose the point (a) is at outside of the circle , evaluation is zero
      Suppose the point (a) is inside the circle, put the value of (a) in f(z) .but in this case f(z)=1 , even though the value of (a) is whatever, the value of f(a)=1 , because f(z)=1

  • @samrajbhar3582
    @samrajbhar3582 5 років тому

    Wao bahut simple bataya sir ne

    • @yoursvikram__
      @yoursvikram__ 4 роки тому

      Yaaar center kaise 0,0 nikall lete ho .. Baki kaye questions me center 1, 0 hai books me meri ..
      Center find krne ka asan trika batado koi

  • @ankit99factified60
    @ankit99factified60 6 років тому

    Helpful video

  • @superbstarz
    @superbstarz 7 років тому +1

    sir make video on line integral and other integrals

  • @suneethachapati3924
    @suneethachapati3924 2 роки тому

    Thank you for good explanation sir

  • @beardocoder6581
    @beardocoder6581 6 років тому +1

    Mza aa gya guruji....
    Apne back bcha li meri😘😘😘😋

  • @jayeshgangode6006
    @jayeshgangode6006 5 років тому +1

    पसंद है! 💐💐

  • @kalpanakoirala8835
    @kalpanakoirala8835 6 років тому +2

    sir from topic complex integration, how (i).(3i) becomes -3? i have an exam of m-3 on this dec. and i m worried about this topic. m still not able to clear the basic concepts. kindly help me.

    • @ManojKumarSahoo
      @ManojKumarSahoo  6 років тому

      i² = -1

    • @kalpanakoirala8835
      @kalpanakoirala8835 6 років тому

      sir please help me..i have very less time left for the exam i have other subjects to study also..now its seems like m seeing this topics for the first time..m very much frustrated.

    • @yoursvikram__
      @yoursvikram__ 4 роки тому

      Yaaar center kaise 0,0 nikall lete ho . Baki kaye questions me center 1, 0 hai books me meri ..
      Center find krne ka asan trika batado koi

  • @rosskappa5410
    @rosskappa5410 5 років тому +2

    Allah razı olsun hocam

  • @rameshbhatt1989
    @rameshbhatt1989 5 років тому

    Very nice

  • @anuragshukla6779
    @anuragshukla6779 4 роки тому

    Superb

  • @Nazirahmad-m9i
    @Nazirahmad-m9i 17 днів тому

    Take 2 common from denominator then apply cauchy integral

  • @sankeshkumar3993
    @sankeshkumar3993 6 років тому

    Very nice sir

  • @sharmilatudu3699
    @sharmilatudu3699 4 роки тому

    Thank yuo sir

  • @ghazikhan2624
    @ghazikhan2624 5 років тому

    Great

  • @Cr-hu4bk
    @Cr-hu4bk 6 років тому +18

    Partcial fractoin dikha date to attcha hota..

  • @GauravSingla204
    @GauravSingla204 6 років тому +1

    Hlo Sir
    Thanks for the video
    I watched this amazing video, it's really helpful.
    You had multiplied with 2 before 2 pi in second partial
    Please solve the below question with the help of cauchy integral formula
    Q. 3z+1/z(2z+1) where |z|=1
    Looking forward to hearing from you
    Thank you in advance

    • @GauravSingla204
      @GauravSingla204 6 років тому

      As per your advised i got the answer 4pi but the answer is 3pi
      Please provide the answer in short time of period

    • @murshidkappat7110
      @murshidkappat7110 6 років тому

      @@GauravSingla204 take 2 outside from (2z+1)=2(z+1/2) the 2 cancels
      Then the f(z)=integral(3z+1/z+.5)
      Finale answer 2pii+pii=3pii

  • @namsadaigangmei6739
    @namsadaigangmei6739 6 років тому

    Awesome Tq

  • @dangerkingofficial...6547
    @dangerkingofficial...6547 Рік тому

    Nice

  • @uttamjaiswar6937
    @uttamjaiswar6937 6 років тому

    Thanks

  • @maheshvhatkar9093
    @maheshvhatkar9093 6 років тому

    Thanks sir

  • @shivasri4112
    @shivasri4112 5 років тому

    The video was nice... But what abt line integrals... And others...

  • @priyankarathore758
    @priyankarathore758 4 роки тому

    Thanku sir

  • @reja9349
    @reja9349 5 років тому

    helpful

  • @piyush8656
    @piyush8656 7 років тому

    Ok thankyou sir..

  • @Jarawain_Kharpran
    @Jarawain_Kharpran Рік тому

    Ty sir

  • @rushabhdhoble5029
    @rushabhdhoble5029 5 років тому

    Z ke values kya put keru to get B=-2 ??

  • @SYDMED_techWgaming
    @SYDMED_techWgaming 4 роки тому +3

    (_pi/2)i

  • @sanjaysingh-nd8dz
    @sanjaysingh-nd8dz 6 років тому

    Sir when we apply Cauchy integral and when residue theorem? Is this can't be solve by residue theorem?

  • @talhakacar4137
    @talhakacar4137 5 років тому

    can ıt be f(z) equal z'2+1/2z+1 for 0 f(z) equal z'2+1/z for -1/2

  • @prashantnarwade631
    @prashantnarwade631 5 років тому

    Solve some problems based on ellipse

  • @malegupta8404
    @malegupta8404 4 роки тому

    Thajs

  • @sumayyahabid3294
    @sumayyahabid3294 5 років тому

    g(z) = 1
    /(z^2+4)^2. |z-1|=2. Could you please explain the problem

    • @kartikkalia01
      @kartikkalia01 4 роки тому +1

      factorize the denomenator into (z + 2i)(z - 2i)
      singularity points = (+ - 2i)
      center of circle is (1,0)

  • @khushboo5795
    @khushboo5795 4 роки тому

    Sir linear equation of second order ka v video bnaye plzzzzzzzzzzzzz for help

  • @ajayaj7074
    @ajayaj7074 5 років тому +2

    Urs and mine handwriting are same. ditto . I love my handwiriting when i write in math. Lol

  • @samthakur3492
    @samthakur3492 5 років тому +1

    sir fraction bnane ni aarhe .. baki sb smjh aa gya.. plz sir help

  • @aravind3455
    @aravind3455 6 років тому

    Sir when singular point is out side the circle what we have to Do

    • @ManojKumarSahoo
      @ManojKumarSahoo  6 років тому

      +ARAVIND Prince it will be zero. Check problem#1

  • @nitishraj4275
    @nitishraj4275 5 років тому

    Sir ,I confused in this prb.thats coefficient of z will be make 1 then my ans. Is different explain sir this type of pls pls sir............

  • @saharkhan9186
    @saharkhan9186 6 років тому

    F(z)=ze raist to power (-z)
    Es ka singulat point kya hoga......?????

  • @Mridulmishra06
    @Mridulmishra06 Рік тому

    sir apne alag alag krke integrate kyu kiya

  • @Vision_Voyagers
    @Vision_Voyagers 5 років тому

    What if f(z)=1

  • @kalpanakoirala8835
    @kalpanakoirala8835 6 років тому +1

    in this 2nd video of cauchy's integral formula, singular points are 0 and -1/2. how?

    • @chowdhuryshaykhrafshezani9011
      @chowdhuryshaykhrafshezani9011 6 років тому

      because for those values of z, f(z) becomes undefıned. denomınator of f(z)becomes 0 .

    • @yoursvikram__
      @yoursvikram__ 4 роки тому

      Yaaar center kaise 0,0 nikall lete ho sir g... Baki kaye questions me center 1, 0 hai books me meri ..
      Center find krne ka asan trika batado koi
      Batana bhai

    • @yoursvikram__
      @yoursvikram__ 4 роки тому

      @@chowdhuryshaykhrafshezani9011 batana yaar center nikalna ka tarika ... Coz . Kaye questions me 1,0 bhi ata hai woh kaise... Math thora weak hi hai

    • @rajmaheta
      @rajmaheta Рік тому

      @@yoursvikram__ radius mode z = 1 se 1 nikali (mode z = underroot(x^2+y^2) = (x^2+y^2=r^2) , isliye circle 0 to 1 radius tak ka bana , usme 0 center and 1 radius

  • @Bhaskar5554
    @Bhaskar5554 6 років тому +1

    jhakasss padhate hai guru jii

  • @ilayathalapathy6135
    @ilayathalapathy6135 5 років тому

    Semma

  • @Vision_Voyagers
    @Vision_Voyagers 5 років тому

    dz/(z-a) Cauchy integral formula

  • @heenasalmani4803
    @heenasalmani4803 4 роки тому

    Sir aur questions krwayee

  • @pritinandapanda7567
    @pritinandapanda7567 5 років тому

    In that partial difference where did 2 came from.
    Its 1 na

    • @AwesomeVideos590
      @AwesomeVideos590 5 років тому

      isne galat kiya hai

    • @anandhu9925
      @anandhu9925 5 років тому

      2 is needed for splitting our equation.
      Current denominator is z(2z-1).we have to make the denominator in (z-a) form to apply Cauchy's theorm.so inorder to get those denominators simultaneously with balancing of eqn will result in such a form.
      If you just substract it considering as just fractions we can get our first form only if there is a 2.otherwise we can't balance it

  • @tkit793
    @tkit793 6 років тому +1

    i don't understand what you are talking about...

  • @nikkybisen8360
    @nikkybisen8360 5 років тому

    Sir thoda deap me samjhao 1/2 kaise liye

  • @rushabhdhoble5029
    @rushabhdhoble5029 5 років тому +1

    Partial fraction me-2 kaisa aaya aabhi telak nahi samja

  • @muramuziadam3855
    @muramuziadam3855 5 років тому

    what if i do 0 and -1/2 separately and later add

  • @mobashar4173
    @mobashar4173 6 років тому +1

  • @suvangi6189
    @suvangi6189 6 років тому +1

    i have a better suggestion than this method it better we consider the z in denomination as f(z) part only then this question will be solved in 2 lines only not to make such big ques unnessary

    • @yoursvikram__
      @yoursvikram__ 4 роки тому

      Yaaar center kaise 0,0 nikall lete ho .. Baki kaye questions me center 1, 0 hai books me meri ..
      Center find krne ka asan trika batado koi

  • @bsnlu.pwestcircle2848
    @bsnlu.pwestcircle2848 6 років тому

    sir ap kha ka ho

  • @my.gaming3630
    @my.gaming3630 5 років тому

    Limt ---- 0 z/Z congugate

  • @uniconhub
    @uniconhub 5 років тому

    Cauchy theorem 1 example Kiya ha, at least 2 or 3 question krna tha

  • @AwesomeVideos590
    @AwesomeVideos590 5 років тому

    Agar ap -4 pieiota put kar rhe to apko 0 bhe put karna chahye sorry to say that apka answer galat hai

  • @piyush8656
    @piyush8656 7 років тому

    Sir agar dout clear krna ho to apse kaise contact karunga

    • @ManojKumarSahoo
      @ManojKumarSahoo  7 років тому

      +piyush piyush which college??

    • @piyush8656
      @piyush8656 7 років тому

      I have backlogs sir in those subjects
      I m student of LCIT Bilaspur
      I m Sudhir sitale

    • @ManojKumarSahoo
      @ManojKumarSahoo  7 років тому

      +piyush piyush to direct ghr aa kr puch lena

    • @shahidfarooq7046
      @shahidfarooq7046 7 років тому

      great sir

  • @bsnlu.pwestcircle2848
    @bsnlu.pwestcircle2848 6 років тому

    ager muja kuch pouchna ho to kasa pouchu

  • @christianromero7982
    @christianromero7982 6 років тому

    I understood what you did but please practise your english pronunciation because I could undertand what you said

  • @alishamirza326
    @alishamirza326 5 років тому

    Ye Cauchy Integral Theoram h..
    Not formula

  • @Rahulsharma-mw1yg
    @Rahulsharma-mw1yg 5 років тому

    Bhari awaz 😈

  • @YOUVISHStudios
    @YOUVISHStudios Рік тому

    L