Improper Integrals - Convergence and Divergence - Calculus 2

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  • Опубліковано 3 гру 2024

КОМЕНТАРІ • 293

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  3 роки тому +55

    Integration - Free Formula Sheet: bit.ly/3XCT6oz
    Get The Full 51 Minute Video: www.patreon.com/MathScienceTutor
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    • @paulineshiku1890
      @paulineshiku1890 Рік тому

      The (3x+1)² where did the squared go...I ddnt understand that part plz

    • @yamicloud6443
      @yamicloud6443 Рік тому +1

      @@paulineshiku1890 i know it's 6 months late but he substituted 3x+1 into "u" then raised it to the square afterwards (u^2). He did the integral of the full thing with "u" still in it and then replaced the "u" with 3x+1. So basically the squared just merged with the rest of the fraction

    • @Sherif-Academy
      @Sherif-Academy 6 місяців тому

      Great job , for those that interested in such problems , here my solution to 3 questions at the same time of the same book ( almost impossible integrals, sums and series) ua-cam.com/video/dmrJCvXYcKo/v-deo.html

  • @zanemcmorris4541
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  • @JohnV33
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    You made this just in time. You are basically the only reason I haven't flunked out of Calculus. Thank you.

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  • @thegavinjackson
    @thegavinjackson 3 роки тому +561

    How is he always covering what we're doing in class

  • @thegreatkeljb
    @thegreatkeljb 2 роки тому +14

    My prof made this sound so complicated. You gracefully explained it in a manner that is easily understood in < 15 minutes. Thank you!

  • @kuonkhailechdawech2309
    @kuonkhailechdawech2309 2 роки тому +20

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  • @charlieropesocks5793
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    you are amazing bro, no bs you just get straight to the math and explain it well

  • @georgesadler7830
    @georgesadler7830 2 роки тому +17

    Professor Organic Chemistry Tutor, thank you for another fantastic video/lecture on Improper Integrals in Calculus Two. This is a very important topic when it comes to Convergence and Divergence of Integrals in Calculus. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.

  • @yerielhiciano7635
    @yerielhiciano7635 3 роки тому +3

    13min video and I understood improper integrals way more than a hour and 40 min lecture. Thank you

  • @MeinCouch123
    @MeinCouch123 3 роки тому +2563

    It's a sick joke that this guy can explain stuff quickly and effectively in only 15 minutes, yet the professor I pay for only leaves me more confused. College truly is a scam

    • @bape7372
      @bape7372 2 роки тому +20

      ikr

    • @CriticPunch
      @CriticPunch 2 роки тому +158

      but this guys simplifies way too much, do not consider as I'm complaining. professors probably give the pure information and you have to think over it.

    • @austeyen5628
      @austeyen5628 2 роки тому +93

      @@CriticPunch yep, you cant rewind stuff and don't have as much time in lectures than in youtube videos, so they feel better for a lot of people despite not being significatly better explanations. theyre just good completentary learning materials

    • @changfengcai4657
      @changfengcai4657 2 роки тому +86

      lol I only use this guy's video as a pre-class tool that gives me general understanding. Since you gotta learn way more complicated cases in class. And I dont think you should blame on your prof...

    • @BernardoLameiras
      @BernardoLameiras 2 роки тому

      And there are lectures on UA-cam which go much deeper. Colleges nowadays are indeed scams.

  • @arnoldkambia7488
    @arnoldkambia7488 2 роки тому +3

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  • @ddee_6234
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    this guy is a legend, also how are u always covering what were doing in class. Like this was my first lecture in clac 2 this past month

  • @Alice-wh7fq
    @Alice-wh7fq 3 роки тому +8

    Thank you for the video. I'm going to learn improper integrals today in class. :) You videos have been so helpful!

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  • @SohumMehta
    @SohumMehta Місяць тому +1

    Good video; however, the p-series you're referring to is typically called the p-integral when dealing with improper integrals rather than a series. This is because a series involves the summation of terms, while an integral involves continuous accumulation.
    My professor took points off my test because I used "p-series" as my justification, and he wrote "not a series." It's called a p-integral or a p-test.

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    @zawadimukuru5480 Рік тому

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  • @nihatdonmezov8354
    @nihatdonmezov8354 3 роки тому +5

    Sir, could you please do more video about improper integrals?

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    @sphyerhd8097 Рік тому

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  • @cashamilton715
    @cashamilton715 3 роки тому +3

    Can you please make a video on the type of improper integrals that have finite boundaries but infinite discontinuities?

  • @alech8135
    @alech8135 Рік тому +3

    You missed a step. You need to also change your limits of integration if you are using U-substitution.

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  • @Auronami
    @Auronami 2 роки тому

    Calc 2? We're learning this right now in: Introduction to Calculus.

  • @kamassange5788
    @kamassange5788 3 роки тому +1

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  • @LASBEOGRADboy
    @LASBEOGRADboy 3 роки тому +1

    excuse me, at 6:41 you say condition for divergence is p=

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    @vincentfababier5918 3 роки тому

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    @gabesoutdoors7848 3 роки тому +1

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    @mayenuddinstudent7648 Рік тому

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  • @rosenyantakyiwaaawuah1322
    @rosenyantakyiwaaawuah1322 3 роки тому +2

    Thanks for the video, it is very useful. But why did you multiply it by 1/t when proving that it is really 0

    • @Chrisymcmb
      @Chrisymcmb 3 роки тому

      I was also questioning the same thing

  • @DerekCooper_
    @DerekCooper_ Місяць тому +1

    Watching this mid-lecture rn

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    @michpr6503 3 роки тому

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  •  3 роки тому

    Right in time man thanks

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    @sssimonnn111 Рік тому

    Great explanation!

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    @GrimZar 5 місяців тому

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  • @supercard9418
    @supercard9418 3 роки тому

    5:42 why didn't you distribute the lim to the 1? why just apply lim to -1/t?

  • @takedown4949
    @takedown4949 7 місяців тому

    Watching this -1 hour before my class

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    @ayansuleymanova03 2 роки тому

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  • @wendy-cc6vf
    @wendy-cc6vf 11 місяців тому

    Omg I got it quickly because of you

  • @dondle
    @dondle Рік тому

    At 10:30, why didn't you change the bounds of the integral to account for the u-substitution?

    • @storm-xb4gh
      @storm-xb4gh 11 місяців тому

      idk if it will help you now. but it doesn't mater if you change the bounds of the integral by doing u(x)= function, and substitute it will come out the same at the end you could try it out . I could be wrong .

  • @ozanuyulur441
    @ozanuyulur441 3 роки тому +3

    Who has the Calculus BC Ap exam tomorrow

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    @afriendlygoblin Рік тому +7

    not me watching this 2 hours before my finals

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    @nisamehraj2537 3 роки тому

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  • @nmkdust
    @nmkdust 3 роки тому

    Watching this the night before my exam

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    @nijatmehtiyev9698 3 роки тому

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    @fredducaunt Рік тому

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