Cauchy's Integral Formula For Analytic Function | Example & Solution

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  • เผยแพร่เมื่อ 3 พ.ย. 2024

ความคิดเห็น • 659

  • @gajendrapurohit
    @gajendrapurohit  4 ปีที่แล้ว +71

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    • @kirtisingh9451
      @kirtisingh9451 4 ปีที่แล้ว +1

      some steps are redundant ....so it makes copmlex.....firstly we should find only required resudue hten summing resudue and last multiply with 2pi iota

    • @shivangiverma4242
      @shivangiverma4242 4 ปีที่แล้ว

      Sir can u plz solve this problem integral of sin^6z/(z-π/6)^3 dz where c is the circle |z|=1

    • @tahirafatima6121
      @tahirafatima6121 4 ปีที่แล้ว

      Sir 1/ Z ^2 k integral on closed contour zero q h

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      @heistberlinyt8847 2 ปีที่แล้ว

      j

    • @ranjeet4892
      @ranjeet4892 2 ปีที่แล้ว

      Sir you are great sir.

  • @yashasvee1853
    @yashasvee1853 3 ปีที่แล้ว +266

    those who are persuing engineering can understand how much important this lecture is....thank u so much sir it means a lot

    • @bhartiindian
      @bhartiindian ปีที่แล้ว +5

      msc valo ke liye vhi

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      @sumrelachaunria8776 7 หลายเดือนก่อน +2

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      @DeepakBaghel-my9ml 4 หลายเดือนก่อน +1

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    • @Empire-nz6kx
      @Empire-nz6kx 4 หลายเดือนก่อน

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    • @BLOODY._.EVOLVER
      @BLOODY._.EVOLVER 3 หลายเดือนก่อน

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  • @gajendrapurohit
    @gajendrapurohit  6 ปีที่แล้ว +65

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  • @arquamkhan2362
    @arquamkhan2362 5 ปีที่แล้ว +35

    I watched lot of videos for Cauchy and got confused but this video made my concepts very clear.... Thank U sir ☺️☺️

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    @fluminare 6 หลายเดือนก่อน +12

    I'm in BITS Pilani and my finals are from next week, this series of video on Complex analysis gave me the confidence for my M2 exam. Thank you sir!!!!!!!!!

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      @johubify 5 หลายเดือนก่อน

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    @safed_channel 5 ปีที่แล้ว +94

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    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +9

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    • @rishabh3377
      @rishabh3377 2 ปีที่แล้ว

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    @polamarasettysanyasirao1480 4 ปีที่แล้ว +5

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    @piyushvaidya5086 6 ปีที่แล้ว +37

    May God Bless all the TH-cam teachers who get no money yet upload all these explanations for free. Also I have 1 question. Is the integral to be evaluated if the point lies on the circumference.

    • @gajendrapurohit
      @gajendrapurohit  6 ปีที่แล้ว +10

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      @surajbhansingh5082 5 ปีที่แล้ว +1

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    @kishorchakraborty5683 ปีที่แล้ว +7

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    @ziyaurrahmankhan8148 5 ปีที่แล้ว +5

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      @gajendrapurohit  5 ปีที่แล้ว

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  • @AmanGupta-wb8mj
    @AmanGupta-wb8mj ปีที่แล้ว

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  • @TheRmad007
    @TheRmad007 2 ปีที่แล้ว +3

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    @ganeshsen9450 ปีที่แล้ว +1

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    @PrabhawSrivastava-wv5mf 11 หลายเดือนก่อน +1

    Sir your video help me to understand the cauchy integral theorem .😊

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    @SMARTRIXDbztttmods 5 ปีที่แล้ว +1

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    @neelam7412 5 ปีที่แล้ว +1

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    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

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      @neelam7412 5 ปีที่แล้ว

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  • @physicstutorials-nirmalabi168
    @physicstutorials-nirmalabi168 8 หลายเดือนก่อน +1

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  • @nrt96
    @nrt96 4 ปีที่แล้ว +31

    Sir it would be good if you can upload the classes in English. Then ppl like me from south indian can follow well

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      @sarthakchoudhury5237 3 ปีที่แล้ว +5

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      @KiranSingh-zm8zw 3 ปีที่แล้ว +2

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      @@nrt96 tune on closed caption bruh

    • @hiteshclg6547
      @hiteshclg6547 2 หลายเดือนก่อน

      Nice​@@sarthakchoudhury5237

    • @hiteshclg6547
      @hiteshclg6547 2 หลายเดือนก่อน

      Yes​@@KiranSingh-zm8zw

  • @ShivNarayanAdityaDev
    @ShivNarayanAdityaDev 4 หลายเดือนก่อน +1

    Bohot aaache sir .......❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

  • @divyanshusharma-nw5pq
    @divyanshusharma-nw5pq 3 ปีที่แล้ว +1

    Sir , You are great
    Through , your lecture we worries that I will definitely complete my syllabus and get good marks in my acadamic math exam
    I love you teaching and enjoying it ,
    In future I will definitely follow in your lecture for GATE exam purpose
    👍🙏🙏🙏🙏

  • @sweetygaming9661
    @sweetygaming9661 4 ปีที่แล้ว +1

    Its very good thanks

  • @omegapoint1258
    @omegapoint1258 5 ปีที่แล้ว +13

    OMG! You saved me today, Professor. Thank you so much.

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Hello Omega Point
      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
      Please Share it With Your Friends
      Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK
      Keep Watching OUR latest video.
      Topic:-IIT-JAM Mathematics
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      Topic:-GATE (Engineering Mathematics)
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      Topic:-B.Sc. Mathematics
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      Topic:-IAS Optional Mathematics
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      Topic:-Engineering Mathematics
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      Please share it with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @ShivaMahajan07
    @ShivaMahajan07 3 ปีที่แล้ว +4

    You classes are mind blowing!

  • @RaviTeja-px5ko
    @RaviTeja-px5ko 3 ปีที่แล้ว +2

    Very nicely explained this topic sir..this lecture is best I found in TH-cam among others which helped me to solve the questions pertain to this topic comfortably.

  • @biswajitbarik8687
    @biswajitbarik8687 4 หลายเดือนก่อน

    Sir, your teaching style is better. Thank you sir 👍. Sir, also this lecture is helpful for us.

  • @rampalverma5995
    @rampalverma5995 3 ปีที่แล้ว

    Sir apke lectures कोरोनाकाल me bahut help kr rhe hain........kunki colleges me padhai hui nhi hai.....

  • @vipulkhandelwal9243
    @vipulkhandelwal9243 5 ปีที่แล้ว +3

    Sir You Teach Really Well.If You Were There In Our College I Would Have Attended Every Single Class Of Yours...

  • @Tushar-fh6qz
    @Tushar-fh6qz หลายเดือนก่อน

    Sir if any thing is already outside the curve the consider it in f(z). It can reduce the complexity drastically

  • @safeekkhan192
    @safeekkhan192 6 หลายเดือนก่อน +1

    Outstanding teaching love you sir ❤❤❤❤

  • @awadheshkumarchauhan3906
    @awadheshkumarchauhan3906 3 ปีที่แล้ว +1

    Sir aapke video se bhaut help milati hai

  • @helloworld12321
    @helloworld12321 5 ปีที่แล้ว +1

    Very nice explanation sir

  • @CrazyStarofficial602
    @CrazyStarofficial602 5 หลายเดือนก่อน +2

    Very important lecture . thank you sir ❤

  • @shaiktaslimbanu6250
    @shaiktaslimbanu6250 5 ปีที่แล้ว +5

    Thank you sir your videos are really helpfull to understand the concept

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +2

      Hello Shaik Taslim
      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
      Please Share it With Your Friends
      Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK
      Keep Watching OUR latest video.
      Topic:-IIT-JAM Mathematics
      th-cam.com/video/eTp5wq-cSXY/w-d-xo.html
      Topic:-GATE (Engineering Mathematics)
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Topic:-B.Sc. Mathematics
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      Topic:-IAS Optional Mathematics
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      Topic:-Engineering Mathematics
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Please share it with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @LogicalProgrammer
    @LogicalProgrammer 5 ปีที่แล้ว +1

    Sir Kal mera Paper he M-3 Or me ye sare concept bool chuka ta.
    Really bahut bahut jayada thanks.....me bahut kush hu apke lectures pakr 😇😇😇

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Hello manishkumardas India
      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
      th-cam.com/play/PLU6SqdYcYsfIJRl8mo2Rv1MpdvmVD0YyI.html
      Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019
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      Topic:- Matrics and Linear Algebra
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Topic:-Fourier Series
      th-cam.com/video/NdouX5-KD6Y/w-d-xo.html
      Topic:-Differential Equation of First Order and First Degree
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      Topic:- Higher Order Differential Equation
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      Topic:- Second Order Differential equation of Variable Coefficient
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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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      Topic:-Fourier Transform
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      Topic:-Curve Tracing
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      Topic:-Tracing Of Polar Curves
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      Topic:-Surface area and Volume of Revolution of curve
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      Topic:-Complex Analysis
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      Topic:-Operation Research
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      Topic :- First Order & Higher Degree Differential Equation
      th-cam.com/video/aYrsPeE7NLQ/w-d-xo.html
      Topic :- Simultaneous Differential Equation
      th-cam.com/video/Y8CF01gbd_U/w-d-xo.html
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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

  • @RatneshKumar-yl6xb
    @RatneshKumar-yl6xb 5 ปีที่แล้ว +5

    Thank you so much sir. u taught very wonderfully even I have fear of this concept I understand very clearly ..

  • @ashusingh529
    @ashusingh529 5 ปีที่แล้ว +1

    Sir aap great ho

  • @MukeshYadav-vb4bw
    @MukeshYadav-vb4bw 3 ปีที่แล้ว +1

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

  • @mdabdurrahim6764
    @mdabdurrahim6764 3 ปีที่แล้ว +1

    Your explanation is super Sir,really awesome. I can understand your lecture rather than any textbook solution.

  • @mitultank7872
    @mitultank7872 3 ปีที่แล้ว

    Hard method is become very easy now for me .
    Thank you very very much

  • @nehakandari5041
    @nehakandari5041 2 ปีที่แล้ว

    Are Guruji...bacha lia apki classes ne toh....ye college walo ne toh bhoot bana dia tha🥺❤️loads of support nd respect to you sir❤️

  • @sarangkumarsingh7901
    @sarangkumarsingh7901 ปีที่แล้ว +1

    Awesome lecture ❤

  • @sirjee3638
    @sirjee3638 4 ปีที่แล้ว +1

    Very nice video.... thanks a lot....

  • @gurumaan8454
    @gurumaan8454 4 ปีที่แล้ว +3

    Sir your teaching method is so good no word to show how great your teaching skills are

  • @rahulnamanverma4445
    @rahulnamanverma4445 9 หลายเดือนก่อน +1

    JAI SIYARAM JAI HANUMAN JI
    Mast padhate ho sir

  • @ziyaurrahmankhan8148
    @ziyaurrahmankhan8148 5 ปีที่แล้ว +1

    Bhut hi aasani se pura samajh aa gya sir thank you sir

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Hello Full Education
      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
      th-cam.com/play/PLU6SqdYcYsfIJRl8mo2Rv1MpdvmVD0YyI.html
      Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019
      th-cam.com/video/6njCv-Lqhx0/w-d-xo.html
      Topic:- Matrics and Linear Algebra
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Topic:-Fourier Series
      th-cam.com/video/NdouX5-KD6Y/w-d-xo.html
      Topic:-Differential Equation of First Order and First Degree
      th-cam.com/video/McOc6OUC7Pc/w-d-xo.html
      Topic:- Higher Order Differential Equation
      th-cam.com/video/tHqx1qxA8q4/w-d-xo.html
      Topic:- Second Order Differential equation of Variable Coefficient
      th-cam.com/video/1HKn9IvYiEM/w-d-xo.html
      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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      Topic:-Fourier Transform
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      Topic:-Curve Tracing
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      Topic:-Tracing Of Polar Curves
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      Topic:-Surface area and Volume of Revolution of curve
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      Topic:-Complex Analysis
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      Topic:-Partial Differentiation
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      Topic:-Maxima and Minima of Two Variable
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      Topic:-Numerical Analysis
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      Topic:-Integral Calculus
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      Topic:-Integral Transform
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      Topic:-Curve Fitting
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      Topic:-Radius of Curvature
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      Topic:-Jacobian
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      Topic:-Envelop & Evolutes
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      Topic: Infinite Series
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      Topic:-Operation Research
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      Topic :- Series Solution
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      Topic :- First Order & Higher Degree Differential Equation
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      Topic :- Simultaneous Differential Equation
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      Topic:- Statistics & Probability
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      Topic:-IAS Optional Mathematics
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      Topic:-Engineering Mathematics
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      Topic:- Important Question of Mathematics for Class 10th
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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

  • @user-kx9yx6cm8y
    @user-kx9yx6cm8y 4 ปีที่แล้ว +1

    Sir Khuda apko hmesha kush rakhy

  • @khems4412
    @khems4412 2 ปีที่แล้ว +1

    Very much thankful sir 💓💓💓 for this help

  • @ambarnafees5845
    @ambarnafees5845 4 ปีที่แล้ว +2

    You explained very well sir. I have one problem sir how to solve Integration of tanz by cauchy integral theorem where C is a circle having centre at origin and radius is 2 ?

  • @AminaSajjad-zq8wu
    @AminaSajjad-zq8wu 7 หลายเดือนก่อน

    Sr.. Kindly guide me how you take points outside or inside for circle I mean how you know the point would lie inside or outside the circle?

  • @yukki_1.0
    @yukki_1.0 2 ปีที่แล้ว +1

    Kl mera test h...or aaj ye pura topic pehli baar pd ri hun...kl test hone ke baad dobara comment edit krne aaungi 🙏

    • @borntobereal2004
      @borntobereal2004 หลายเดือนก่อน

      Test abhi bhi nehi huyi kya bhai?

    • @yukki_1.0
      @yukki_1.0 หลายเดือนก่อน

      @@borntobereal2004 Test itna khrab tha...ki ..khair choro..ab to Engineering bhi ho gayi 🤣

    • @borntobereal2004
      @borntobereal2004 หลายเดือนก่อน

      @@yukki_1.0 engineering ho bhi geyi, jealous lagraha he. Me to abhi 1st year me hoon r din gunta rehta hu e kab khatam hoga🙂🙂

    • @yukki_1.0
      @yukki_1.0 หลายเดือนก่อน

      @@borntobereal2004 ho jayega ho jayega....engineering ke baad job ki tnsn se to acha hi h pdna 😭

    • @borntobereal2004
      @borntobereal2004 หลายเดือนก่อน

      @@yukki_1.0 😭😭itna padneki bad bhi job ki tension😭padnai nehi chahiye tha

  • @Adventure01432
    @Adventure01432 3 ปีที่แล้ว +1

    🙏🏼 धन्यवाद महोदय। 🙏🏼

  • @Studyseven7
    @Studyseven7 ปีที่แล้ว

    Sir seriously telling I am seeing this this video before 1 week of my semester exam and it is being helpful for me thanks 🙏

  • @sanjeevrazput
    @sanjeevrazput ปีที่แล้ว

    Bahut achha explain kiya thankyou sir🎉

  • @gayatrigogoi9096
    @gayatrigogoi9096 5 ปีที่แล้ว +3

    thnq sir..for clring all my cncpt about this theorem

  • @gijogeorge6121
    @gijogeorge6121 4 ปีที่แล้ว

    U should teach...india.🙏🙏...u r great....making it simple....💓

  • @vishalkhati1982
    @vishalkhati1982 2 ปีที่แล้ว

    Thank you sir your videos are giving me confidence to pass in exam

  • @AdithyanRNair-km3yr
    @AdithyanRNair-km3yr 4 ปีที่แล้ว +8

    Finally I got a hope that I can pass this semester 🤣🤣 Thankyou sir😍😍😍

    • @Fluke_361
      @Fluke_361 3 ปีที่แล้ว

      Enikum 😌

  • @pluckybeast.
    @pluckybeast. 3 ปีที่แล้ว +1

    Sir there is only one word to describe ur importance in all students life is
    That u are priceless

  • @harshitsrivastava5559
    @harshitsrivastava5559 4 ปีที่แล้ว +1

    Hope I get all teachers like you in my College....🙂🙂🙂

  • @hrithiksingla5709
    @hrithiksingla5709 ปีที่แล้ว

    bohot acha bataya thanks. complex ki videos aache kam hai. ye acha hai

  • @hrishimahulley4153
    @hrishimahulley4153 4 ปีที่แล้ว +1

    You are teaching excellent sir🙏
    Well done

  • @NITISHKUMAR-gc5gj
    @NITISHKUMAR-gc5gj 5 ปีที่แล้ว +5

    Thank you sir explanation is very nice all dout is finish sir

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Hello NITISH KUMAR
      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
      th-cam.com/play/PLU6SqdYcYsfIJRl8mo2Rv1MpdvmVD0YyI.html
      Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019
      th-cam.com/video/6njCv-Lqhx0/w-d-xo.html
      Topic:- Matrics and Linear Algebra
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Topic:-Fourier Series
      th-cam.com/video/NdouX5-KD6Y/w-d-xo.html
      Topic:-Differential Equation of First Order and First Degree
      th-cam.com/video/McOc6OUC7Pc/w-d-xo.html
      Topic:- Higher Order Differential Equation
      th-cam.com/video/tHqx1qxA8q4/w-d-xo.html
      Topic:- Second Order Differential equation of Variable Coefficient
      th-cam.com/video/1HKn9IvYiEM/w-d-xo.html
      Topic:- Partial Differential Equation
      th-cam.com/video/vZEN4NXhmag/w-d-xo.html
      Topic:- Vector Calculus
      th-cam.com/video/FfJtVvQtqTM/w-d-xo.html
      Topic:- Laplace Transform
      th-cam.com/video/EDVJotmT584/w-d-xo.html
      Topic:-Asymptote
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      Topic:-Fourier Transform
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      Topic:-Curve Tracing
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      Topic:-Tracing Of Polar Curves
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      Topic:-Surface area and Volume of Revolution of curve
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      Topic:-Complex Analysis
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      Topic:-Partial Differentiation
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      Topic:-Numerical Analysis
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      Topic:-Differential Calculus
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      Topic:-Integral Calculus
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      Topic:-Integral Transform
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      Topic:-Curve Fitting
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      Topic:-Radius of Curvature
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      Topic:-Jacobian
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      Topic:-Envelop & Evolutes
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      Topic: Infinite Series
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      Topic:-IIT-JAM Mathematics
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      Topic:-GATE (Engineering Mathematics)
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      Topic:-Operation Research
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      Topic :- Series Solution
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      Topic :- First Order & Higher Degree Differential Equation
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      Topic :- Simultaneous Differential Equation
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      Topic:- Statistics & Probability
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      Topic:-B.Sc. Mathematics
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      Topic:-Engineering Mathematics
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      Topic: Important Question of Mathematics for Class 12th

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      Topic:- Important Question of Mathematics for Class 10th
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      Topic :- Solution of Paper of Maths CBSE Exam 2019 Class 12th
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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

  • @narigesrinivas9068
    @narigesrinivas9068 3 ปีที่แล้ว +1

    Superb explanation sir

  • @hashtagtalwindersarari.3481
    @hashtagtalwindersarari.3481 3 ปีที่แล้ว

    Sir apki videos bht helpfull hai. Thanku sir 🙏🙏👍👍

  • @abhijitdas7633
    @abhijitdas7633 6 หลายเดือนก่อน +1

    Thanks sir.

  • @vanshvishnoi370
    @vanshvishnoi370 7 หลายเดือนก่อน

    With all due respect, sir there should be -2pi f'(a) at 3:02 and there should be (-1)^n in formula written at 3:36 in the video!
    Also the answer of the last question will become -√3 pi i.

  • @AMU964
    @AMU964 ปีที่แล้ว +1

    Thank a lot sir ❤❤❤

  • @h.rmaths80
    @h.rmaths80 8 หลายเดือนก่อน +1

    nicee classs sir jii❤❤

  • @rahulnamanverma4445
    @rahulnamanverma4445 7 หลายเดือนก่อน +1

    THANKYOU GURUJI

  • @shreyashreechakraborty9596
    @shreyashreechakraborty9596 3 ปีที่แล้ว

    Sir the video is very helpful amazing teaching

  • @pavankumar-ks6xn
    @pavankumar-ks6xn 4 ปีที่แล้ว

    Your videos became very helpful to me during preparation tq very much sir..

  • @pran_jal
    @pran_jal 4 ปีที่แล้ว +1

    nice sirr,and lots of thankyou given your guidence

  • @himanshusugha9061
    @himanshusugha9061 ปีที่แล้ว +1

    thnx sir

  • @shahinparveen7946
    @shahinparveen7946 3 ปีที่แล้ว +2

    Excellent love ur lectures sir...Great work done

  • @jp0796
    @jp0796 6 หลายเดือนก่อน +1

    Sir at 15:20 how c value means third integrations lies outside curve

  • @HamzAnwar1053
    @HamzAnwar1053 2 ปีที่แล้ว

    Thanks Sir Very Helpful in Solving the Questions. 😍 from 🇵🇰

  • @saedrahman9629
    @saedrahman9629 ปีที่แล้ว

    Hi sir I am from pakistan you are the legand of maths.

  • @shantanumaskar3846
    @shantanumaskar3846 4 ปีที่แล้ว +1

    Thank you so much sir for clearing my concepts........Your videos help me a lot.....😄

  • @sketchbe2513
    @sketchbe2513 2 ปีที่แล้ว

    I AM IN LOVE WITH YOUR WAY OF TEACHING

  • @hemantrajput8795
    @hemantrajput8795 2 ปีที่แล้ว +3

    Sir you are saving our boat ⛵ from sinking ❤️

  • @shivbhajan9639
    @shivbhajan9639 4 ปีที่แล้ว +1

    Sir your lectures r awesome
    But kindly plz little work upon your hand writing .
    I find it difficult to understand this lectures.

  • @ramya.....8739
    @ramya.....8739 4 ปีที่แล้ว

    Tq u sir for explaining all topics .Ur explanation is so good sir