Complex Analysis - Complex Integration Line Integral Example & Solution

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  • Опубліковано 18 лис 2024

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  • @gajendrapurohit
    @gajendrapurohit  5 років тому +34

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    • @perlasripal9162
      @perlasripal9162 3 роки тому

      Your explain so good sir and I have to watch your class then all of us problems solved. Thank you so much sir

    • @sachin-fk1kg
      @sachin-fk1kg 2 роки тому +2

      in straight line y1 value is wrong. and full problem is also wrong . upload another video for not getting confuse for others.

    • @pratibha_vlogs_uk01
      @pratibha_vlogs_uk01 6 місяців тому

      Sir aap konsi book se pdate hai please please reply🙏🏻

  • @kaifiazmi8751
    @kaifiazmi8751 3 роки тому +165

    Sir yu have taken, y1=2 but it is -1
    (in video at 13:00-14:00)

  • @UNKNOWN-ms2tm
    @UNKNOWN-ms2tm 5 років тому +96

    VERY AWESOME SIR ...... IT WAS VERY HELPFUL .... FAR BETTER THAN THE TEACHERS IN OUR COLLEGE ...

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +26

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    @ayurdubey4818 5 років тому +26

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    • @gajendrapurohit
      @gajendrapurohit  5 років тому

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    • @ananj.5600
      @ananj.5600 4 роки тому +1

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  • @divyeshparmar4809
    @divyeshparmar4809 3 роки тому +25

    at 12:58 i think there was mistake, it's y + 1 instead of y + 2.

  • @rohandas76
    @rohandas76 4 роки тому +3

    12:40 mai galti hua hei ,but fer bhi apki efforts ke liye salute apko sir....aise hi kam karte rahe

  • @AnadiGoswamiBCE
    @AnadiGoswamiBCE 2 роки тому +15

    in example, 2 part 2 when we put the value of y1 and y2 in the equation won't it be y+1/1+1? how y-2/1+1 came?

  • @umeshchaurasiya1403
    @umeshchaurasiya1403 4 роки тому +2

    Sir complex integration kya represent krta hai, jaise ki normal integration area under the curve ko represent krta hai...like that..
    Sir aapka explanation so simple rhta hai...easily and minimum time mein samajh mein aa jaata hai..thnku so much sir..

  • @shubhamtiwari6375
    @shubhamtiwari6375 5 років тому +40

    @12:40 y1 ki value -1

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    @zeropotential6830 2 роки тому +1

    thnaks sir tomorrow is my mid exam on complex analysis.this video helped me to make common sense on line integral.

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    @zhdhshwhhbsahajjjaj505 2 роки тому +4

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    @satyarthsharma1358 2 роки тому +3

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    @harshitham5763 3 роки тому +1

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    @vishalprajapat-uq2rb 7 місяців тому

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    @kamalpreetsingh5058 5 років тому +4

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    @mayankeditz3313 5 років тому +1

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    @ShivamMaurya-c8x4v Рік тому

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  • @sriramkancherla8844
    @sriramkancherla8844 Місяць тому

    At 7:13 , How are you taking (1,-1) sir?
    if we substitute (1,-1) in 2x +iy +1 then the answer would be 3-i right ?

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    @HamsterKombat0502 4 роки тому +1

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    @crazybro4383 7 місяців тому

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    @raunaksarkar8212 4 роки тому +1

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  • @surbhimaindola52
    @surbhimaindola52 2 роки тому +2

    Sir, in example 2 part 2nd, can we do in this way--- after finding equation of line y=2x and then in integartion we will put 2x at place of y.. and solve the integration without using new variable t

  • @Satishkumar-lv9dk
    @Satishkumar-lv9dk 5 років тому +2

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      @aliferacademy 4 роки тому

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    @SanjeevKumar-ve3kb 5 років тому +1

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    @nimmath3468 4 роки тому +1

    Simple mode of presentation. Easy to learn.

  • @52_sayankumarsardar59
    @52_sayankumarsardar59 5 років тому +3

    In the last problem the value of y1 = -1
    Thank you so much sir

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      Hello Sayan Sardar
      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
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      Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK
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      Thanks
      Dr.Gajendra Purohit

  • @chanchalpandey2387
    @chanchalpandey2387 5 років тому +4

    Simple explanation sir..
    I like your teaching way...
    I regularly watch your videos...
    Thanks for provide such nice videos..

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      Hello Chanchal Pandey Lauriya
      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
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      Topic:- Higher Order Differential Equation
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      Topic:-Asymptote
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      Please share it with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @lakshmegowda8274
    @lakshmegowda8274 5 років тому +3

    Can yu upload more videos of complex integration. Plz sir.... Yur explanation soo good i. Like yur teaching...

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +2

      Hello Lakshme gowda
      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
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      Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019
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      Topic:-Fourier Series
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      Topic:-Differential Equation of First Order and First Degree
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      Topic:- Higher Order Differential Equation
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      Please share it with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @oceanofknowledge..8482
    @oceanofknowledge..8482 5 років тому +1

    Sir lucid way of teaching and clear all doubts thanks a lot

  • @rajaniboro7521
    @rajaniboro7521 4 роки тому +1

    f(z) = πexp(πz) and C is the boundary of the square with vertices at the points 0, 1,
    I + i, and i, the orientation of C being in the counterclockwise direction.
    Sir i need only it graph.... Please sir

  • @AmanKumar-td9vk
    @AmanKumar-td9vk Рік тому

    tnk u so much sir ji helping us with the help of quality education video lecture
    👌👌👌👌👌👌

  • @syedmdabid7191
    @syedmdabid7191 2 роки тому +1

    pardon sir! Would you dare evaluate (2+3i)^90 the exact number manually( without the help of chart/ table etc.)?

  • @pallabidasgupta4676
    @pallabidasgupta4676 3 роки тому +1

    Sir,can you make vedio on darboux inequality

  • @letsgettuned7811
    @letsgettuned7811 4 роки тому +3

    Thank you so much Sir taking out time for making viedos, I understood what have explained 🙂

  • @m.l.naveena6479
    @m.l.naveena6479 2 роки тому

    Sir for new concept please tell why it is used and reson trics insted of teaching yourself

  • @thejants7296
    @thejants7296 3 роки тому

    Thank you....... Thank you....... Thank you....... So much Sir............

  • @sahilgain2861
    @sahilgain2861 4 роки тому

    Very nice sir, it's very helpful for me.. 😇😇😇

  • @abhishekdutta8968
    @abhishekdutta8968 5 років тому +2

    Sir at 12:53, shouldn't we substitute y1 as -1 and y2 as 1 ?

  • @saurabhkumar-qp9ti
    @saurabhkumar-qp9ti Рік тому

    Bahut help full video hai sir

  • @VinaySharma-bw1gr
    @VinaySharma-bw1gr 4 роки тому +1

    Sir Kya speed hai
    Awesome 😋😋

  • @MukeshYadav-vb4bw
    @MukeshYadav-vb4bw 3 роки тому

    Thank you sir because this video is very useful for me.

  • @rahulnamanverma4445
    @rahulnamanverma4445 9 місяців тому +1

    jai siyaram ji jai gorishankar ji
    achha padathe ho sir aap

  • @theresearchoflife9322
    @theresearchoflife9322 5 років тому

    Sir hame video bahut achha laga thanks

  • @ayushmansengar9215
    @ayushmansengar9215 4 роки тому +1

    Thanks a lot sir for explaining this topic
    This video helped a lot

  • @sanjaymittal2500
    @sanjaymittal2500 Рік тому +2

    Thank you for the content

  • @sirshayan19
    @sirshayan19 2 роки тому +1

    Sir Integration using summation series ki vedio upload kren

  • @pawansuyal8799
    @pawansuyal8799 4 роки тому

    Sir app bhut achha pdate ho

  • @nayanshrivastava7109
    @nayanshrivastava7109 5 років тому +6

    Crystal clear concepts😘

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +1

      Hello Nayan Shrivastava
      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
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      Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019
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      Topic:- Matrics and Linear Algebra
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      Topic:-Fourier Series
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      Topic:- Higher Order Differential Equation
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      Topic:-Asymptote
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      Topic :- Solution of Paper of Maths & Science CBSE Exam 2019 Class 10th
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      Please share it with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @atishayjain1574
    @atishayjain1574 5 років тому

    THANKS A LOT SIR UR VIDEOS ARE AMAZING VERY HELPFUL I AM FROM NIT DELHI ECE BRANCH VERY HELPFUL!!!!!!

  • @navyasaxena9372
    @navyasaxena9372 4 роки тому

    Bhout auccha samjhate hai sir aap

  • @gourmondal8547
    @gourmondal8547 5 років тому

    Sir I am Gour mondal . You a great teacher. I love you sir.

  • @yousufali4567
    @yousufali4567 3 роки тому +1

    thank you sir it was nice explanation

  • @nikhilsaini6097
    @nikhilsaini6097 2 роки тому +1

    Hats off to you Sir 🎩

  • @DEVILGAMING-kh1ue
    @DEVILGAMING-kh1ue Рік тому +1

    Thanks..helping a lot

  • @rahulrai394
    @rahulrai394 3 роки тому +6

    12:42 you have mistakenly taken y1 = 2 , but in actual it is -1

  • @rahulnamanverma4445
    @rahulnamanverma4445 8 місяців тому +2

    JAI GORISHANKAR JI JAI RADHESHYAM JI😍

  • @soumalyadhar.28
    @soumalyadhar.28 5 років тому

    your teaching is very good and helpful sir...thank you

  • @Lifefinder15
    @Lifefinder15 4 роки тому +1

    sir solve it please by complex integration zero to infinity 3^-4x^2 dx(3 is power minus 4x squared)

  • @rahulnamanverma4445
    @rahulnamanverma4445 7 місяців тому +2

    JAI SIYARAM JAI HANUMAN JI😍

  • @vedanshsolanki8857
    @vedanshsolanki8857 4 роки тому +1

    @ 09:25 y se lene pr +1 and -1 do values aayegi na sir
    dono me se konsi lenge

  • @lalitakushwaha-l7q
    @lalitakushwaha-l7q 3 роки тому

    Sir plzz upload videos on MSc

  • @vishnuprakashcd1530
    @vishnuprakashcd1530 4 роки тому +1

    great vedio sir. it was really helpful God bless you.

  • @rajasthanitourism7327
    @rajasthanitourism7327 4 роки тому

    Sir bhut acha padate ho
    Apke notes nhi mil skte kya sir

  • @SaiKiranPatro
    @SaiKiranPatro 4 роки тому

    Sir your explanation is great..

  • @siddharthsingh5403
    @siddharthsingh5403 4 роки тому

    Sir i have a doubh that you said that lower limit will be x+iy so in 1st question its easy to find that the point will be (0,0)because lower limit is 0 but what if limit is 1

    • @S.N.007
      @S.N.007 4 роки тому

      @sid singh you can visit alifer academy to clear your doubts

  • @mathematicsmathby7437
    @mathematicsmathby7437 4 роки тому

    U teach very well

  • @shreyajaiswal7104
    @shreyajaiswal7104 4 роки тому

    sir please make a video on vector space

  • @kakashisenpai99
    @kakashisenpai99 5 років тому +61

    Ek din k bad exam hay ;'(

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +21

      Best of luck

    • @kakashisenpai99
      @kakashisenpai99 5 років тому +7

      @@gajendrapurohit ty sir apke videos ke bharose sab

    • @genraldibba
      @genraldibba 10 місяців тому +10

      1 gnte bad h mera🙂

    • @genraldibba
      @genraldibba 9 місяців тому +3

      @@KawXar2004 bhai mera complex integration bhut aacha hua😍🔥

    • @vmmaker1728
      @vmmaker1728 9 місяців тому +2

      😢

  • @MrAashuverma
    @MrAashuverma 5 років тому +22

    Sir, question k solution k baad plz thoda side ho jaaya kro, just for a second, so that students screenshot le sake

    • @nehamaurya1163
      @nehamaurya1163 4 роки тому

      Right ☺☺☺

    • @MrAashuverma
      @MrAashuverma 4 роки тому +1

      Thanks

    • @aliferacademy
      @aliferacademy 4 роки тому

      Complex analysis is on my youtube channel full coverege, you can visit and full hd as computer project

  • @kaushaalrajputvlog
    @kaushaalrajputvlog 2 роки тому

    Awesome sir very helpful sir👍👍👍

  • @PiDebasish.Official
    @PiDebasish.Official 8 місяців тому

    UNIT-I
    Complex Numbers and Complex plane: Basic properties, convergence, Sets in the Complex
    plane, Functions on the Complex plane: Continuous functions, holomorphic functions, power
    series, Integration along curves.
    UNIT-II
    Cauchy’s Theorem and Its Applications: Goursat’s theorem, Local existence of primitives and
    Cauchy’s theorem in a disc, Evaluation of some integrals, Cauchy’s integral formulas.
    UNIT-III
    Morera’s theorem, Sequences of holomorphic functions, Holomorphic functions defined in
    terms of integrals, Schwarz reflection principle, Zeros and poles.
    UNIT-IV
    Meromorphic Functions and the Logarithm: The residue formula, Examples, Singularities and
    meromorphic functions, The argument principle and applications, The complex logarithm.

  • @ARTISHARMA-cb6lu
    @ARTISHARMA-cb6lu 5 років тому +1

    Sir please make a video on normal distribution

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      within this month
      Thanks for
      your comment, your appreciation always motivate us to do such kind work.
      Please Share it
      With Your Friends
      Want to get notes
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  • @uditarora1215
    @uditarora1215 5 років тому +1

    Sir thank you so much. VERY HELPFUL 😘☺️☺️😊

  • @safdariqbalgondal5239
    @safdariqbalgondal5239 6 років тому +1

    non linear programming for master of economics ky liay bhi in detail video banayein sir.

    • @gajendrapurohit
      @gajendrapurohit  6 років тому

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  • @kanaksharma3835
    @kanaksharma3835 Рік тому

    Why our education system is missing these precious gem teachers

  • @letsExploreeachday
    @letsExploreeachday 3 роки тому

    Best explanation sir...

  • @honeyleaf9922
    @honeyleaf9922 3 роки тому +1

    Sir , in example 1 how the limit (1+i) became (1,1) ?

    • @pritamdebnath849
      @pritamdebnath849 3 роки тому +1

      (1,1) is the coordinate of complex no. 1+i
      so basically Sir is taking the co ordinates of the complex numbers

    • @honeyleaf9922
      @honeyleaf9922 3 роки тому

      @@pritamdebnath849 Thanks

  • @mrinalmishra5230
    @mrinalmishra5230 Рік тому

    You are suggested to explain theory detail and slowly

  • @MathematicalMinds
    @MathematicalMinds Рік тому

    Can we say sir complex integration represents area