Average Value of a Function on an Interval

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  • เผยแพร่เมื่อ 18 ธ.ค. 2024

ความคิดเห็น • 62

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  11 หลายเดือนก่อน +2

    Applications of Integration - Free Formula Sheet: bit.ly/3ZdKSnK
    Final Exams and Video Playlists: www.video-tutor.net/

  • @leozendo3500
    @leozendo3500 5 ปีที่แล้ว +220

    After watching so many video tutorials I finally know why yours is always the best. You write the intermediate reasoning steps and erase them instead of just saying them verbally.

  • @maanastyagi5487
    @maanastyagi5487 3 หลายเดือนก่อน +13

    saw u in 10th , 11th , 12th and now 1st sem of college.
    This guy is a gem.

  • @entropycore
    @entropycore 7 หลายเดือนก่อน +26

    7 years later, still saving lives.

  • @moemamalalala
    @moemamalalala ปีที่แล้ว +8

    i always seek out your videos over other creators, your content is really helpful!

  • @vishnusarangk6854
    @vishnusarangk6854 3 ปีที่แล้ว +14

    Give this guy a medal

  • @sanjeethjavvaji5254
    @sanjeethjavvaji5254 7 ปีที่แล้ว +65

    I love you man i can understand integration with help of you 😀😁😁😂😁😂😂😀😁😁😂

  • @Bob-tq9ny
    @Bob-tq9ny 7 หลายเดือนก่อน

    our physics teacher showed us a question to get the average EMF in dynamo, like not half or quarter cycle but 1/3 cycle and from 0 to 1/75 second, it had a lot of steps and someone said "i solved it with limited integral", my teacher said "ok cool but keep the method to yourself" and I spent LITERAL MONTHS unable to know how to do it, I kept scouring the internet for how to do it thinking this was a physics issue because i didn't know how to get average value of a function, until i thought recently "what if it's just calculus?", went to you and i'd like to say you're an absolute life saver now i'm going to save so much time on my final exam... if the question comes MCQ because if it comes essay they'll demand steps lol.

  • @ryanwhittdrums
    @ryanwhittdrums 4 ปีที่แล้ว +16

    Thanks so much for this! This has been super helpful.

  • @ryzerx2774
    @ryzerx2774 ปีที่แล้ว +5

    this dude teaches everything

  • @21mejia25
    @21mejia25 6 ปีที่แล้ว +47

    Man I missed this on my test. I forgot the formula. Worst part was that I wrote it out and decided to use the mean value theorem

    • @John-lf3xf
      @John-lf3xf 5 ปีที่แล้ว +4

      wtf

    • @John-lf3xf
      @John-lf3xf 5 ปีที่แล้ว +3

      this is the most obvious rule ever. The definite integral over an interval over the change in x

    • @harsimratdhaliwal2806
      @harsimratdhaliwal2806 5 ปีที่แล้ว +6

      F

    • @5__seok
      @5__seok 4 ปีที่แล้ว +2

      What is the difference?

    • @navjotsingh2251
      @navjotsingh2251 4 ปีที่แล้ว +27

      @@John-lf3xf lol calm your tits, not everyone has the same approach to mathematics. He clearly panicked in his test and made a silly mistake.

  • @faisalfaisal-wl1mt
    @faisalfaisal-wl1mt 5 ปีที่แล้ว +11

    you are amazing :)

  • @loreleinoneofyourbeeswax4522
    @loreleinoneofyourbeeswax4522 3 หลายเดือนก่อน

    i love you, organic chemistry tutor :)

  • @zata88_
    @zata88_ 2 ปีที่แล้ว +1

    رحم الله والديك.

  • @rangarajan1636
    @rangarajan1636 3 ปีที่แล้ว +1

    Damn good channel Man! Keep up the effort.

  • @nancyladera2371
    @nancyladera2371 6 ปีที่แล้ว +1

    What if I'm asked to find the average value of the function and to call that value r? When I solve for the function, am I solving for the average value of y and then solve for r like I would c? Or would r=y?

  • @Jeha_Kim
    @Jeha_Kim 2 วันที่ผ่านมา

    May I know, in doing f(a) + f(b) / 2
    Should I use the given? Like 2x-5 [1,5]
    f(a) + f(b) / 2
    2(1)-5 + 2(5)-5
    2-5 + 10-5
    -3 + 5
    2
    Am I Correct?
    Because I'm having arguments with my classmates:(

  • @GangapreM
    @GangapreM 3 ปีที่แล้ว +1

    Steps of Average value of g (x)=lxl-1 on (-1,l)

  • @StrugeLabs
    @StrugeLabs 6 ปีที่แล้ว

    Wouldn't you bring the -2 put of the integral at 14:00

  • @tomsun5709
    @tomsun5709 ปีที่แล้ว

    Not sure if I will get a reply, but I was taught that the AV = total accumulation/width of interval. In distance vs displacement context, the total accumulation is distance, which is fnInt |(f)| dx, not fnInt (f) dx. However, I was also taught that AV = fnInt (f) dx/(b-a), which doesn't make sense to me.

    • @sumangupta1880
      @sumangupta1880 11 หลายเดือนก่อน

      Displacement is the distance between the final and initial position whereas distance is the total accumulation (actual distance covered) Thats why distance function is written inside absolute signs and hence to find average value of distance function we must use absolute signs. So you are right! For more informative calculus lessons you can visit th-cam.com/video/oHSySqnZujU/w-d-xo.html

  • @criscris8829
    @criscris8829 7 ปีที่แล้ว +2

    am from iraq. thank you for clear this topic

  • @respectalllife2175
    @respectalllife2175 2 ปีที่แล้ว +2

    *This is what my teacher gave me😑 Find the average she says...
    #1) f(𝜃) = 14sec^2(𝜃/3) , [0, 3𝜋/4]
    #2) h(x) = 6cos^4(x)sin(x), [0, 𝜋]
    #3) h(u) = (10 − 8u)−1, [−1, 1]
    #4) g(x) = 4*(cube-root x) , [64, 125]
    #5) f(x) = 16sin(x) − 8sin(2x), [0, 𝜋]

    • @Jeha_Kim
      @Jeha_Kim 2 วันที่ผ่านมา

      😢 another level 😭

  • @thedevhacker4608
    @thedevhacker4608 4 ปีที่แล้ว +1

    love you you are simply awesome

  • @abktv1054
    @abktv1054 2 ปีที่แล้ว

    Thank You So Much Dear Sir.

  • @Motivationaljoint2
    @Motivationaljoint2 11 หลายเดือนก่อน

    i llove yo brooo you have helped me so much

  • @manojkumarmattaparthi
    @manojkumarmattaparthi ปีที่แล้ว

    can some one explain how can we know how to know the graph whether its increacing or decreasing

  • @davoohm2779
    @davoohm2779 10 หลายเดือนก่อน +1

    I didn't know snoop dogg teaches calculus.

  • @_munna_
    @_munna_ 4 ปีที่แล้ว +1

    I can't understand at 4:10

    • @nandikamail
      @nandikamail 3 ปีที่แล้ว

      Jus simply substitute 1 and 5 for 2x-4
      If 1, 2*1-4=-2
      If 5, 2*5-4=6

  • @tomwalling5796
    @tomwalling5796 หลายเดือนก่อน

    Where does 1/(b-a) come from?

    • @Jeha_Kim
      @Jeha_Kim 2 วันที่ผ่านมา

      Its formula itself
      1 / b-a integral a to b of f(x)dx

  • @orjikennedy9918
    @orjikennedy9918 5 ปีที่แล้ว +9

    I hated calculus I mean hate!!!!.but u.I mean u.just removed the bitterness in me

  • @mechboy5954
    @mechboy5954 6 ปีที่แล้ว +1

    You had a different video with mean value and average value of integral. What happened to it?

  • @austino.6687
    @austino.6687 3 ปีที่แล้ว

    Thanks dude

  • @jee2736
    @jee2736 2 ปีที่แล้ว

    Very nice

  • @maanavpatel
    @maanavpatel 2 ปีที่แล้ว +1

    I love u zaddy

  • @curryking8002
    @curryking8002 3 ปีที่แล้ว +1

    I LOVE YOU

  • @IlyasKhan-tc6pe
    @IlyasKhan-tc6pe 4 ปีที่แล้ว

    What is mean by average value of a function plz tell

  • @MM-eo2pw
    @MM-eo2pw 4 ปีที่แล้ว +4

    welp this wont be on the ap test

    • @ermweezer
      @ermweezer 4 ปีที่แล้ว

      i mean it was on the first practice exam question on apclassroom

  • @bennettbarsotti616
    @bennettbarsotti616 3 ปีที่แล้ว +1

    i love you

  • @jee2736
    @jee2736 2 ปีที่แล้ว

    मौज कर दिया भाई

  • @adveshdarvekar7733
    @adveshdarvekar7733 ปีที่แล้ว

    quantos de lorrs si frento!

  • @rushikeshpatil4017
    @rushikeshpatil4017 3 ปีที่แล้ว +1

    🔥

  • @John-lf3xf
    @John-lf3xf 5 ปีที่แล้ว +2

    this is so obvious

    • @shinysphinx8849
      @shinysphinx8849 4 ปีที่แล้ว +20

      John Landon Miller good for you asshole. Others aren’t that great at calculus as you. Luckily others are better at being human than you are.

    • @iradukundas
      @iradukundas 3 ปีที่แล้ว +2

      @@shinysphinx8849 "no full auto in the building!"

  • @joey1117
    @joey1117 3 ปีที่แล้ว

    i love you