Comparison Test for Improper Integrals

Поділитися
Вставка
  • Опубліковано 24 гру 2024

КОМЕНТАРІ • 73

  • @elielrios5646
    @elielrios5646 5 років тому +295

    College calculus midterm tomorrow and I’m cramming this sections, it made no sense until now. Thanks a lot!
    edit: I got an 82%

    • @soappacket2342
      @soappacket2342 4 роки тому +17

      Awesome!! I am hoping for at least an 80% on my exam tonight :)

    • @jadkhalil9263
      @jadkhalil9263 3 роки тому +4

      @@soappacket2342 i already know you got above an 80 :D

    • @brandonduong
      @brandonduong 3 роки тому +2

      cracked

    • @karlodomic2890
      @karlodomic2890 3 роки тому +8

      Im fine with 51% each percent more, one beer more :D

    • @Slims3
      @Slims3 2 роки тому +2

      we are living the same lives , in different bodies

  • @piecheeseboy2222
    @piecheeseboy2222 4 роки тому +62

    Had you last semester for calc one, amazing teacher thank you!

  • @jean-philippefranko6896
    @jean-philippefranko6896 3 роки тому +14

    Thank you for breaking down all the thought processes, especially about finding a simpler function for carrying the convergence test [5:15]. Also great job about the way you use the colors ! That really helps to drive the attention toward the main aspects of each situation. I love your work !

  • @babooshkabatoosh7034
    @babooshkabatoosh7034 3 роки тому +14

    This was, seriously, an excellent explanation!

  • @mdrakibhossain2433
    @mdrakibhossain2433 5 років тому +10

    Now it's clear to me. This topic was somehow so ambiguous to me. Thanks man .

  • @nhuyn6556
    @nhuyn6556 Рік тому +39

    I’m crying rn

    • @alihashimraza1677
      @alihashimraza1677 8 місяців тому +5

      It’s Alr bro I’m cooked aswell my exam is in 6hrs im watching this at 3:30am

    • @Jlang-es9lc
      @Jlang-es9lc 8 місяців тому +1

      @@alihashimraza1677How did it go?

    • @alihashimraza1677
      @alihashimraza1677 7 місяців тому +8

      @@Jlang-es9lc as predicted I got cooked

    • @thepoetone-sy9cg
      @thepoetone-sy9cg 3 місяці тому

      I'm also

    • @danielkelsosmith
      @danielkelsosmith 2 місяці тому +1

      Tomorrow at 12 💀 calc 2, 3 in the same exam. I’m deep fried, sautéed, flambeed, downright burnt.

  • @konakill
    @konakill 2 роки тому +1

    This hasn't clicked for the past week and a half, thank you for the help!

  • @chao_laura
    @chao_laura 3 роки тому +1

    My first time here and I swear you are a life saver 🥺 where have you been all my life 😩

  • @ice-nw3ps
    @ice-nw3ps 2 роки тому +1

    I have a midterm in an hour and ah this thing is not easy to keep in mind

  • @humidifier8914
    @humidifier8914 Рік тому

    thank you so much, wild how this 8 min video is better than any of my calculus lectures

  • @amansingh-ww2qc
    @amansingh-ww2qc 3 роки тому

    Sir u are great , I can't believe someone can teach this good for free , I really love u really really really

  • @ludwig7223
    @ludwig7223 2 роки тому +1

    Very clear. Thank you!

  • @mike_the_tutor1166
    @mike_the_tutor1166 3 роки тому +3

    There's a bit of audio clipping here, but other than that this video is a great introduction to the comparison test. Thanks for sharing.

  • @zest6542
    @zest6542 4 роки тому

    Glad I stumbled onto this, it makes this concept a lot easier to understand

  • @qedmath1729
    @qedmath1729 Рік тому +1

    Nice video! You explain this stuff extremely well.
    At 6:32, we can use partial fraction, and arrive at -ln|x+1| + 1/2ln|x^2 - x + 1| - 1/sqrt(3)*arctan(2x/sqrt(3)) + C.

    • @mikel27
      @mikel27 Рік тому

      Octavarium 👀

  • @wasabistreetfighter519
    @wasabistreetfighter519 10 місяців тому +1

    super helpful!

  • @mokhalishale7427
    @mokhalishale7427 4 роки тому +2

    Thank you so much sir

  • @dantellez8531
    @dantellez8531 4 роки тому +1

    Ohhhhh, thanks sooo much!!! I had such a hard time trying to get this concept. You explained it so cool and easy to understand. Here you have your Like, good man.

  • @redmondhenry398
    @redmondhenry398 2 роки тому +2

    Thanks mate, this was a good video

  • @end3v-9-10
    @end3v-9-10 3 місяці тому

    If the bounds are from 2 to infinity, instead of 1 to infinity, would the P convergence change to P > 2?

  • @SW-2010
    @SW-2010 2 роки тому +4

    Great video, helped a lot. P.S. You kinda look like an off-brand doctor strange. lol

  • @ameliech5134
    @ameliech5134 2 роки тому

    so clear, amazing video!

  • @JoseShajiOfficial
    @JoseShajiOfficial 4 роки тому +1

    Thank you so much!

  • @akashsharma2798
    @akashsharma2798 2 роки тому +1

    Love from India ❤❤

  • @becky7564
    @becky7564 4 роки тому +2

    Thanks a lot!

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

    If numerator don't have x
    can we use comparison theorem?

  • @rockyboy5545
    @rockyboy5545 4 роки тому

    Finally, I understood what it means. Thank you.

  • @shifagoyal8221
    @shifagoyal8221 3 роки тому +1

    Excellent

  • @s4ulyaniv35
    @s4ulyaniv35 Місяць тому

    For the convergence test, you said f(x) and g(x) should be positive on the interval, but you chose (x-2)/(x^3+1) which is negative for 1. Why can you still apply this test then?

  • @naderbenammar7097
    @naderbenammar7097 2 роки тому +1

    damn you are a very good teacher ! thx it helped a lot

  • @saeedahamad8928
    @saeedahamad8928 Рік тому +1

    My calculus midterm is in two hours and someone sent me this video saying I will understand after watching this, and indeed I do now thank you so much

  • @harmandeepsingh2983
    @harmandeepsingh2983 5 років тому

    Sir you are doing amazing jobs👍thanku so much

  • @blessingsamukange4845
    @blessingsamukange4845 4 роки тому

    Asante Sana

  • @EngSeifHabashy
    @EngSeifHabashy 3 роки тому +1

    Ur the best dr

  • @xer_t3661
    @xer_t3661 3 роки тому +1

    thank youu soo much 💖

    • @DrTrefor
      @DrTrefor  3 роки тому +1

      You're welcome 😊

  • @Local_Nerd
    @Local_Nerd 2 роки тому +1

    Thanks . . .

  • @yesssirr5487
    @yesssirr5487 11 місяців тому

    I love you Dr....

  • @bhoxzivanlangnamanpfhoe7869
    @bhoxzivanlangnamanpfhoe7869 3 роки тому

    can I compare some random function as long as the inequality hold?

    • @EdgarKirakosyan.2005
      @EdgarKirakosyan.2005 8 місяців тому

      nah, you must be keeping the biggest power of x in place, it is always better to go logically towards the smaller/bigger function, but DCT (the test described in the video) is actually a little hard because it needs good algebraic knowledge and concentration to find the other function compared to LCT (limit comparison test) where you take any function and simply calculate the limit of original function over your function and prove that they are connected by getting g a positive value

  • @rogerwilcox8084
    @rogerwilcox8084 Рік тому

    thanks

  • @muditasai6412
    @muditasai6412 4 роки тому

    Thank you for this

  • @rigel1167
    @rigel1167 5 років тому

    great video!

  • @niraasmr5631
    @niraasmr5631 3 роки тому

    Youre the best!

  • @lesegomokgabudi5798
    @lesegomokgabudi5798 5 років тому +1

    THANKS BRO

  • @gideongaletka4574
    @gideongaletka4574 2 місяці тому

    13 minutes to midterm

  • @markwenefred9008
    @markwenefred9008 4 роки тому

    Math 54?

  • @AliHassan-hb1bn
    @AliHassan-hb1bn 2 роки тому +1

    P

  • @antonioilinovic2101
    @antonioilinovic2101 5 років тому

    I love your videos, all I have to say...

  • @journeytotheinfinity440
    @journeytotheinfinity440 3 роки тому

    I know I am a bit late but I still wanna ask you by the comparison test we deduced that the following fraction will be less than 1/x² but we hadn't checked if the fraction was bigger than 1/x .. So, to my estimation we should've checked if the fraction was bigger than 1/x..
    I might be wrong but please clarify it me..
    By the way awesome videos now I am learning the calculus from your videos without anyone's aid..

  • @03abdulmateen99
    @03abdulmateen99 5 років тому

    💖💕

  • @larrybird8536
    @larrybird8536 3 роки тому

    A PEE INTEGRAND

  • @amansingh-ww2qc
    @amansingh-ww2qc 3 роки тому

    I love u for this so much that I want to marry u😀😀😀😀

  • @zuggrr
    @zuggrr 3 роки тому +1

    Thank you so much !