Properties of Definite Integrals - Basic Overview

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  • Опубликовано: 19 дек 2016
  • This calculus video tutorial explains the properties of definite integrals. It provides an overview / basic introduction to the properties of integration.
    Antiderivatives: • Antiderivatives
    Basic Integration Problems:
    • Basic Integration Prob...
    Indefinite Integral:
    • Indefinite Integral
    Definite Integral:
    • Definite Integral
    Differential Equations:
    • Finding Particular Sol...
    _______________________________
    Properties of Definite Integrals:
    • Properties of Definite...
    Rectilinear Motion Problems:
    • Rectilinear Motion Pro...
    Sigma Notation - Calculus:
    • Summation Formulas and...
    Riemann Sums - Area:
    • Riemann Sums - Left En...
    The Midpoint Rule:
    • Midpoint Rule & Rieman...
    ________________________________
    Finding Area - Limit Definition:
    • Finding The Area Using...
    Definite Integrals - Geometry:
    • Evaluating Definite In...
    Fundamental Theorem - Part 1:
    • Fundamental Theorem of...
    Fundamental Theorem - Part 2:
    • Fundamental Theorem of...
    Net Change Theorem:
    • Net Change Theorem - C...
    __________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

Комментарии • 127

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +9

    Next Video: ruclips.net/video/LBmET4sH460/видео.html
    Final Exams and Video Playlists: www.video-tutor.net/

  • @RohitKavuluru
    @RohitKavuluru 5 лет назад +425

    at 7:50 I believe he meant for the integral with limits of integration 7 to 9 to have limits of integration of 1 to 7. It is a typo.

    • @hrperformance
      @hrperformance 3 года назад +12

      cheers man

    • @katherine5184
      @katherine5184 3 года назад +80

      Thank goodness, bc I was so confused

    • @R4G3L3GiTSn1PZ
      @R4G3L3GiTSn1PZ 3 года назад +34

      i wish i went to the comments earlier. I was like wtf happened!

    • @arthur38379
      @arthur38379 3 года назад +15

      i was so confused im sitting here questioning myself like crazy now lmao

    • @Chrisymcmb
      @Chrisymcmb 3 года назад +3

      Yea I was a bit perplexed at this moment in the video

  • @jackpotnox1179
    @jackpotnox1179 Год назад +15

    You are saving my life in my Calculus class right now. Keep doing what your doing, you are a god sent.

  • @b.pradhan9359
    @b.pradhan9359 Год назад +33

    for everyone confused, at 6:53 he meant 7 to 1 not 9 to 7, its a typo. :)

    • @joshushushu
      @joshushushu 2 месяца назад +1

      OHHHHH THATS WHY.. MY HEAD'S STARTING TO HURT HAHA

  • @chemistrytutor9470
    @chemistrytutor9470 6 лет назад +83

    I think, around @ 6:55 1 to 7 instead of 7 to 9?

    • @hrperformance
      @hrperformance 3 года назад

      thanks

    • @chewinggum5550
      @chewinggum5550 3 года назад +11

      thank god someone in the comment is there to help my brain stop crying. Thanks :)

  • @kojinakazawa3009
    @kojinakazawa3009 2 года назад +10

    Thankyou so much, you are saving me right now like I am panicking so hard for this calc test and you are helping out a ton.

  • @zhaosong6397
    @zhaosong6397 5 лет назад +100

    you're the reason i can nap in class

  • @skeensmachine597
    @skeensmachine597 6 лет назад +311

    How is the integral from 1 to 7 the same as the integral from 7 to 9

    • @dalkeiththomas9352
      @dalkeiththomas9352 6 лет назад +7

      Was wondering the same thing

    • @KaylenApril
      @KaylenApril 6 лет назад +2

      Skeens Machine I need to know the same thing

    • @lynsane
      @lynsane 6 лет назад +10

      i am also confused /:

    • @razankhormy1801
      @razankhormy1801 5 лет назад +6

      yes, I also want to know why !

    • @AlexVoxel
      @AlexVoxel 5 лет назад +43

      Small mistake probably

  • @oscarww3
    @oscarww3 5 лет назад +35

    Thank you, very much for all the videos you have posted, I am a college student in Houston and I appreciate that you get to the point in the information with out making it sound complex.

  • @Inndifference
    @Inndifference 4 года назад +9

    Thanks man you saved my life I wish they teach like this in college it would make it way easier

  • @MrMADman171
    @MrMADman171 7 лет назад +34

    I'm not sure if you intended for the integral to be (\int _1^7 f(x)dx = -6) at around the 8:00 mark, but you wrote it as 7 to 9.

    • @ThilebanTheEngineer
      @ThilebanTheEngineer 7 лет назад +5

      yes the same doubt. I think it's a mistake.

    • @mrunalargade9254
      @mrunalargade9254 7 лет назад +2

      Yes that's why I was not able to solve that question

    • @Josh-yk4bb
      @Josh-yk4bb 6 лет назад +1

      well, you could technically solve it with just two unknown variables, but yea the whole point was to isolate and solve for x.

    • @kizarumelon2477
      @kizarumelon2477 6 лет назад

      yeah it has to be an error

  • @maksymyankovskyi6053
    @maksymyankovskyi6053 Месяц назад

    Bro is clear and straight forwards. This is actually awesome lol.

  • @anelisanicolettacharles3460
    @anelisanicolettacharles3460 2 месяца назад

    You are out there changing lives.

  • @AlexVoxel
    @AlexVoxel 5 лет назад +11

    I guess it's a small mistake the integral from 1 to 7 the same as the integral from 7 to 9

  • @AlexVoxel
    @AlexVoxel 5 лет назад +13

    This was really really helpful, thank you!

  • @joshuaolakanla3993
    @joshuaolakanla3993 3 года назад

    Wowwwwww, am so much grateful have been searching for answers I don't want to cram it

  • @luxurycars8449
    @luxurycars8449 4 года назад +3

    Is 1 to 7 given?

  • @rebekalarusso2015
    @rebekalarusso2015 2 года назад +1

    I'm confused on how you got negative -6 on one of the problems, also the last problem. Why did you just subtract part of the area 8 from the whole area 12 ?

  • @sailokeshmondi5695
    @sailokeshmondi5695 5 лет назад +8

    At 10:19, why is the integral from -1 to 2 equal to 20?

    • @Angelica-ec7tv
      @Angelica-ec7tv 4 года назад +3

      because from 2 to 5 its -8 and from -1 to 5 is 12. so he adds the 8 on both sides to get the amount from -1 to 2

  • @ugwunnadiobioma123
    @ugwunnadiobioma123 4 месяца назад

    How do I integrate √(x).
    with limits from -5 to -1.

  • @GaluppiGraduates
    @GaluppiGraduates Год назад +2

    you are the reason i will get my degree

  • @joshuacharlery6060
    @joshuacharlery6060 6 лет назад +14

    🗣Yo FAM! I have an AP Calc Test Tommorow! You the GOAT!

    • @davy1220
      @davy1220 5 месяцев назад

      Yuh!!! I feel yu jit!!! I got one too!!! We got dis!!!!

  • @georgesadler7830
    @georgesadler7830 10 месяцев назад +2

    Professor Organic Chemistry Tutor, thank you for explaining the Basic Properties of Definite Integrals in Calculus One, Two/Three with examples and graphs. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.

  • @louvivier7779
    @louvivier7779 9 месяцев назад +1

    I have an exam tomorrow, and I don't understand why in 7:48 limits 1-7 is -6, same as 7-9, why?

  • @relaxwithme1705
    @relaxwithme1705 Год назад

    This video help me. Thank you

  • @triumphakpoyovwaire1929
    @triumphakpoyovwaire1929 5 месяцев назад

    Pls can you do a video on linear integral?

  • @joshushushu
    @joshushushu 2 месяца назад +1

    The last one.. why is the answer -100 and not -20? genuinely confused why you multiplied 5 twice.. we got -20 from multiplying -4 and 5.. so i thought that should be the final answer.. but you multiplied another 5 to the -20 to get -100..

  • @joshuacharlery6060
    @joshuacharlery6060 6 лет назад +4

    You the GOAT 🐐 Fam

  • @olyastarobinsky5871
    @olyastarobinsky5871 3 месяца назад

    Thank you so much! I don’t have to panic about calculus exams anymore, I got 92!!! 🥳🥳🥳 before I got 43!

  • @lilpoopypoo
    @lilpoopypoo 3 года назад +1

    thank you i was having trouble with this!

  • @tayu8368
    @tayu8368 11 месяцев назад

    U saved my life

  • @fawfuls
    @fawfuls 5 лет назад

    Thanks!

  • @dg4262
    @dg4262 5 месяцев назад

    4:59 I have a question. I believe he is making a mistake, what are we evaluating integral of f(x) from 5 to 3 - integral of f(x) from 3 to 2 for?. Isn't what we are looking for just a system of F(3)-F(2)=4 and F(5)-F(3)=7 and so by adding them F(5)-F(2)= integral of f(x) from 2 to 5 (The one we were looking for) =11?

  • @RDMVIEWS123
    @RDMVIEWS123 4 года назад +1

    Do you have any other way to communicate with you @ organic chemistry I am really worried and in need of your help

    • @matthewgalasso1087
      @matthewgalasso1087 4 года назад +2

      I don't think i've ever seen him in the comments lmao

  • @naofumi9980
    @naofumi9980 2 года назад

    Thank you and I love you.

  • @jessicajackson906
    @jessicajackson906 6 лет назад

    This was great!

  • @UppyHrz
    @UppyHrz 7 месяцев назад

    How do you know at 7:45 from 1 to 7 its eqaul to -6

    • @aaron9262
      @aaron9262 4 месяца назад

      Without that info. The problem can’t be solved. It’s just part of the problem.

  • @slimerockstar1793
    @slimerockstar1793 Год назад

    THANK YOU

  • @vert1goo
    @vert1goo Месяц назад

    why did he write 2 in front of the integral? 0:23

  • @atolzbro5727
    @atolzbro5727 6 лет назад

    God bless you 🙏🙌

  • @amarachieze1127
    @amarachieze1127 10 месяцев назад

    U are amazing

  • @robocopter9752
    @robocopter9752 6 месяцев назад

    I think one question is wrong(before the last question) you gave the information of integral between 7 and 9 equal -6. And you wrote integral between 4 and 7 equal -6.

  • @user-kn2ub2cj8z
    @user-kn2ub2cj8z 2 года назад

    Thank you sooo much🏵️ You are great 💮

  • @MrTorres904
    @MrTorres904 2 года назад

    You the 🐐

  • @shahdmahmoud6120
    @shahdmahmoud6120 5 лет назад

    You are great 👌💜💜

  • @radilameilia
    @radilameilia 2 года назад

    thanks for this video, I almost didn't turn in my calc 1 homework

  • @moraloral9840
    @moraloral9840 5 месяцев назад

    Thx😭😭😭😭

  • @user-pp7jg8fh1j
    @user-pp7jg8fh1j 2 года назад

    Why isn't the answer at 4:53 7+4=11? if it is -7+4, it will be F(3)-F(5)-F(2)+F(3), even the two F(3) are not going to be cancelled

    • @avthecool129
      @avthecool129 7 месяцев назад

      Cuz the integral is flipped. Instead of it saying it from 3 to 5, it says from 5 to 3 in which u would use that property where u put the negative on the outside

  • @nicholaschase980
    @nicholaschase980 Месяц назад

    Your problem is incorrect at around 7:30

  • @wdogel837
    @wdogel837 3 года назад +2

    Bruh i was legit trying to solve the problem in 7:49 and i gave up and there was just a freakin typo LUL

    • @chewinggum5550
      @chewinggum5550 3 года назад +1

      I actually solved the probelm with the typo and still got the correct answer.
      jk

  • @user-fv3lw2ds7x
    @user-fv3lw2ds7x 3 месяца назад

    i love you

  • @anythinganymore3596
    @anythinganymore3596 Год назад +1

    7:48 actually its not!

  • @user-kn2ub2cj8z
    @user-kn2ub2cj8z 2 года назад

    💛💛💛

  • @catherinecontino5763
    @catherinecontino5763 4 года назад

    Ya how the fuck does he know what 1 to 7 is

  • @GameOnMe
    @GameOnMe 4 года назад +1

    does this man even check his comment section

    • @GM.Nobody
      @GM.Nobody 4 года назад +2

      Probably no, he has thousands of videos that get thousands of views a day

    • @jcappel2802
      @jcappel2802 3 года назад

      yeah, I've seen him comment on other videos of his

  • @user-kn2ub2cj8z
    @user-kn2ub2cj8z 2 года назад

    💛💛💛💛💛💛

  • @bekboy2446
    @bekboy2446 Год назад

    love you men

  • @VikasSingh-ho3vz
    @VikasSingh-ho3vz 6 лет назад

    Worthy lecture s r worthy but toooooo loooong

  • @pbubs9875
    @pbubs9875 Год назад

    dawg its too late for this

  • @4455matthew
    @4455matthew Год назад

    so many mistakes

    • @noiritanath6008
      @noiritanath6008 Месяц назад

      please let us know what those mistakes are