Comparison Test for Improper Integrals

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  • Опубліковано 23 гру 2024

КОМЕНТАРІ • 114

  • @voltaire8828
    @voltaire8828 11 місяців тому +4

    We love you Dat, cant imagine life without you

    • @QuocDatPhung
      @QuocDatPhung  11 місяців тому +1

      You're welcome! I'm glad you like it! You can find the rest of my Calculus videos in this playlist: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @hemberry_
    @hemberry_ Місяць тому +2

    really helpful to sit down and solve some integrals with someone when you have a double degree and have to manage your time independently!!

    • @QuocDatPhung
      @QuocDatPhung  Місяць тому +1

      That’s awesome! Glad my videos are helping! What are your double degrees in, if I may ask?

    • @hemberry_
      @hemberry_ Місяць тому +1

      @@QuocDatPhung I’m in a weird system where you have to have a double degree to apply for med school. it’s kinda horrible; i chose maths, but as I didn’t pass last year, the maths part has gotten really hard to manage (I can’t afford spending lots of time on it because I’m preparing my contest). so yeah, I hope to pass in med school this year…

    • @QuocDatPhung
      @QuocDatPhung  Місяць тому +1

      @@hemberry_ That sounds tough. I wish you the best of luck!

  • @AndreaFerro-ks6bp
    @AndreaFerro-ks6bp Рік тому +8

    No words, you are the best as always!!

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      Wow, thank you Andrea! If you really like my Calculus 2 videos, you can find the rest of them in this playlist: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @嘉元张-y4f
    @嘉元张-y4f 9 місяців тому +4

    Best youtube teacher

    • @QuocDatPhung
      @QuocDatPhung  9 місяців тому +1

      Thank you! You can find all of my Calculus II videos in this playlist here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @NCont-i7g
    @NCont-i7g 9 місяців тому +4

    Truly appreciate those extra problems!

  • @nutritionbyelsa
    @nutritionbyelsa 9 місяців тому +3

    epic resource, thank you so much, so hard to find high quality resources on advanced math topics, sharing with my calc class at UBC, thank you : )

    • @QuocDatPhung
      @QuocDatPhung  9 місяців тому +1

      Thanks so much! I really appreciate it!!!

    • @rainymc
      @rainymc 9 місяців тому +1

      omg hi i saw your piazza post! thanks so much for sharing this vid!!!

    • @QuocDatPhung
      @QuocDatPhung  9 місяців тому +2

      @@rainymc You're very welcome! I don't have just this video, I have an entire playlist for Calculus II :) ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @KHOATRANANH-po5pv
    @KHOATRANANH-po5pv 6 місяців тому +1

    anh giảng hay quá, anh nói tiếng anh dễ nghe mà chuẩn. Mong anh sản xuất thêm nhiều video hay và chất lượng nữa ạ.

    • @QuocDatPhung
      @QuocDatPhung  6 місяців тому +1

      Cám ơn em! Em nhớ chia sẽ cho các bạn học và đăng kí ủng hộ anh nhé. Những bài dạy toán của anh ở đây: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @sa_0515
    @sa_0515 3 місяці тому +1

    Greetings from the University of Florida. Have a Midterm in Calc 2 in 2 days 😅 Thank you a lot

    • @QuocDatPhung
      @QuocDatPhung  3 місяці тому

      Thank you Sa0515! I'm glad you found my videos helpful! Please kindly share with your classmates to help them and subscribe to support me (it means a lot). As well, you can find all of my Calculus II videos in this link: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @gaming3rbbi393
    @gaming3rbbi393 6 місяців тому +1

    لك بتشرح احسن من العرب

    • @QuocDatPhung
      @QuocDatPhung  5 місяців тому +1

      Thank you! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @sahilbhagat7206
    @sahilbhagat7206 Рік тому +4

    Thank you very much to clearing concepts so easily.

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +2

      Thanks so much Sahilbhagat! Please kindly subscribe and share with your classmates. You can find all of my Calculus II videos here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @bilgexo5973
    @bilgexo5973 2 роки тому +3

    i hope you live happily forever. thank u for the video

    • @QuocDatPhung
      @QuocDatPhung  2 роки тому +2

      Thank you and you too! Please don't forget to subscribe and share my calculus playlist with your classmates! ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @ldhung308
    @ldhung308 7 місяців тому +2

    cảm ơn thầy vì bài giảng hữu ích

    • @QuocDatPhung
      @QuocDatPhung  7 місяців тому +2

      Cám ơn em! Em chia sẻ với các bạn khác học nhé.

  • @na.1221
    @na.1221 2 роки тому +8

    Thanks teacher please keep it up

    • @QuocDatPhung
      @QuocDatPhung  2 роки тому +6

      Thank you for your kind words Nardos!

    • @na.1221
      @na.1221 2 роки тому +5

      No problem but can you work English grammatical for e.g relative clause and relative pronoun

    • @QuocDatPhung
      @QuocDatPhung  2 роки тому +5

      @@na.1221 That's a good idea Nardos! I am planning to make videos on English grammar in the future too! Stay tuned!

    • @na.1221
      @na.1221 2 роки тому +4

      Ok i will expect

    • @QuocDatPhung
      @QuocDatPhung  2 роки тому +4

      @@na.1221 Awesome!

  • @bossbabe6064
    @bossbabe6064 Рік тому +5

    Hi, thank you for this video! I have just one question, how do you determine the function g(x)? How do I know which function to use to compare to f(x)?

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +5

      You can use this list (order from smallest to largest) to pick your g(x), but it does take a bit of practice to figure it out:
      constant < log(x) < sqrt(x) < x < xlogx < polynomial < exponential < factorial

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +3

      You can also see all of my Calculus II videos in this playlist: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @vivienshaanika
    @vivienshaanika Рік тому +6

    You are a good tutor, this is amazing and continue doing your best 🙌🙌👏👏👏

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      Hi Vivien! Thank you so much! Please kindly subscribe and share with your classmates. You can find all of my Calculus II videos here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @mrmansir3734
    @mrmansir3734 5 місяців тому +1

    very well made videos. I liked your improper integral video too

    • @QuocDatPhung
      @QuocDatPhung  5 місяців тому +1

      Thanks Mr.Mansir! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @mertyilmaz2442
    @mertyilmaz2442 2 роки тому +8

    Awesome as always :)

    • @QuocDatPhung
      @QuocDatPhung  2 роки тому +5

      Thank you for your kind words Mert! :))))

  • @tailingoff
    @tailingoff Рік тому +1

    Thanks for showing the counter example and also letting me know that hit and trial is the way we approach these tests. 😊

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      You're very welcome! If you like my Calculus videos, you can find the rest of them here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @yonghoon8805
    @yonghoon8805 Рік тому +11

    Thank you! Your videos are very helpful and you explain all that complicated math with a smile on your face, amazing!

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      Thank you very much Yonghoon! I'm glad you enjoy it! You can find all of my Calculus 2 videos in this playlist: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @Eagle._._.
    @Eagle._._. 2 роки тому +4

    Thank you for saving my life

    • @QuocDatPhung
      @QuocDatPhung  2 роки тому +3

      Thanks Eagle! If you enjoyed my clip, please do hit that subscribe button and share with classmates. As well, you can find the rest of my Calculus videos in this playlist: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @chic9205
    @chic9205 2 дні тому

    Thank you, my hero!

  • @bhtkyav7420
    @bhtkyav7420 10 місяців тому +2

    thank youuu everything is clear noww :)

    • @QuocDatPhung
      @QuocDatPhung  10 місяців тому +1

      That's great! You can find all of my Calculus II videos here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @matthewwaite2679
    @matthewwaite2679 2 роки тому +3

    Clear and concise!

    • @QuocDatPhung
      @QuocDatPhung  2 роки тому +2

      Thank you Matthew! Good luck on your tests!

  • @AungKhantPaing-q9q
    @AungKhantPaing-q9q Рік тому +2

    I am loving you so much!

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      Thanks a lot! Please kindly subscribe and share! Also, you can find all of my Calculus II videos here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @reemsayed9671
    @reemsayed9671 2 роки тому +3

    You are so great may God bless you 💜

    • @QuocDatPhung
      @QuocDatPhung  2 роки тому +3

      Thank you so much! You are awesome too! Please don't forget to subscribe and share my Calculus playlist here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @HanifaNasala
    @HanifaNasala 7 місяців тому +1

    Thank you, it's very easy to follow and understand😊

    • @QuocDatPhung
      @QuocDatPhung  7 місяців тому +1

      You're very welcome! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @ibrahimtunahandag6081
    @ibrahimtunahandag6081 11 місяців тому +2

    Bro why did u do that! Why did you split it from 1?

    • @QuocDatPhung
      @QuocDatPhung  11 місяців тому +1

      Which problem are you referring to? Please give me the timestamp. I have to split it if there is a vertical asymptote at x=1

    • @ibrahimtunahandag6081
      @ibrahimtunahandag6081 11 місяців тому +1

      first one@@QuocDatPhung

    • @ibrahimtunahandag6081
      @ibrahimtunahandag6081 11 місяців тому

      like...are we always choosing 1 as a start point?@@QuocDatPhung

    • @QuocDatPhung
      @QuocDatPhung  11 місяців тому +1

      @@ibrahimtunahandag6081 I see. You mean the problem at 1:34. This integral goes from 0 to infinity. Now, if you look at the top right corner of the video, the first step is to make sure that the integral goes from 1 to infinity (that's just the way they want you to do it). Since the integral is from 0 to infinity, then we split it into two integrals, one going from 0 to 1, and the other going from 1 to infinity. Let me know if that makes sense.

    • @ibrahimtunahandag6081
      @ibrahimtunahandag6081 11 місяців тому +1

      @@QuocDatPhung so we basically choose 1. But why not 2, 3, 4 or e?

  • @ssamirs1881
    @ssamirs1881 Рік тому +2

    What happens if the numerator is not always positive?

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      You can factor out the -1 and move it outside the integral, since it is a constant.

    • @ssamirs1881
      @ssamirs1881 Рік тому +1

      @@QuocDatPhung No, I mean for the second step, like for example a sin(x).

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      @@ssamirs1881 In the description of a video, I attached a Google Drive link that contains an example of cos(x) on the numerator (on the last page). Let me know if that helps.

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      @@ssamirs1881 Oh I meant the description of this video. Let me know if you can find it.

  • @Evelyn-oy8li
    @Evelyn-oy8li Рік тому +1

    Thank you so much, finally i could understand this topic after confusing during class. Thankyou 🥺🥺🥺

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      Thanks so much! Please kindly subscribe! Also, you can find the rest of my Calculus videos here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @THEoneandonlystika
    @THEoneandonlystika 9 місяців тому +2

    nice one

    • @QuocDatPhung
      @QuocDatPhung  9 місяців тому +1

      Thanks Messi! You can find all of my Calculus II videos in the following link (don't forget to share and kindly subscribe!): ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @spaceclottey6250
    @spaceclottey6250 Рік тому +2

    super clear, thank you

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      You're very welcome! You can find the rest of my Calculus 2 videos here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @richmondoseitwumasi9975
    @richmondoseitwumasi9975 Рік тому +2

    Thank you very much 😊

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      You're so welcome Richmond! If you really like my Calculus 2 videos, you can find the rest of them in one place here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @stanleywainaina1413
    @stanleywainaina1413 Рік тому +2

    Thank you mate

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      You're very welcome Stanley! Here's the rest of my Calculus 2 videos in this playlist: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @ibrahimtunahandag6081
    @ibrahimtunahandag6081 11 місяців тому +2

    Bro bor bro bro bro bro!!! why we did not choose 1/x instead of 1/x^2?

    • @ibrahimtunahandag6081
      @ibrahimtunahandag6081 11 місяців тому +1

      Is it because of main func. is odd?

    • @QuocDatPhung
      @QuocDatPhung  11 місяців тому +1

      @@ibrahimtunahandag6081 Please let me know the timestamp of this problem, so I can help you with the specific example.

    • @Earlx3n_shorts
      @Earlx3n_shorts 7 місяців тому

      Just trial and error,, both 1/x^2 and 1/x are acceptable 👌

  • @emberlynnguyen3458
    @emberlynnguyen3458 Рік тому +3

    Your explanations are really comprehensible! Thank you so much!

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      Thanks so much Emberlyn! You can find the rest of my calculus videos in this playlist here (please kindly subscribe and share also!) :ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @rajpandya737
    @rajpandya737 Рік тому +2

    finally makes sense

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +2

      Thanks Raj! Please subscribe and share; it means a lot!

  • @virendralakhawat1087
    @virendralakhawat1087 7 місяців тому +3

    ❤❤❤❤❤

    • @QuocDatPhung
      @QuocDatPhung  7 місяців тому +1

      You're very welcome Virendralakhawat! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @simonsays_0826
    @simonsays_0826 5 місяців тому +2

    I love you

    • @QuocDatPhung
      @QuocDatPhung  5 місяців тому +1

      Thank you! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @kudakwashemcmillengomba603
    @kudakwashemcmillengomba603 Рік тому +8

    Watching this video a few minutes before my test😮....Will come and give some feedback after😂

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +4

      Great! How was the test? You can find all of my Calculus II videos here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

    • @kudakwashemcmillengomba603
      @kudakwashemcmillengomba603 Рік тому +6

      This video was so helpful 😭...I just followed the steps nd I sailed through. Definitely subscribing here!!

  • @reemsayed9671
    @reemsayed9671 2 роки тому +3

    Could you please include a translation into Arabic?!

    • @QuocDatPhung
      @QuocDatPhung  2 роки тому +3

      Hi Farida! Thanks for letting me know! I will do some research on how to include other translations :)

    • @reemsayed9671
      @reemsayed9671 Рік тому +1

      @@QuocDatPhung thanks for paying attention waiting for all your awesome coming vedios with translation into arabic🥰

    • @QuocDatPhung
      @QuocDatPhung  Рік тому +1

      @@reemsayed9671 Thank you! Please don't forget to subscribe and share with classmates :)) It means a lot!

  • @andikusnadi1979
    @andikusnadi1979 Рік тому +2

    cool

  • @NCont-i7g
    @NCont-i7g 9 місяців тому +2

    Truly appreciate those extra problems!

    • @QuocDatPhung
      @QuocDatPhung  9 місяців тому +1

      You're very welcome! You can find all of my Calculus II videos here: ua-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html