Calculus - Definite Integrals

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  • Опубликовано: 6 окт 2024
  • This calculus video tutorial explains how to evaluate a definite integral. It also explains the difference between definite integrals and indefinite integrals.
    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-tuto...
    Full-Length Videos and Worksheets:
    / collections
    Integration - Formula Sheet:
    bit.ly/3XCT6oz

Комментарии • 238

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +12

    Integration - Formula Sheet: bit.ly/3XCT6oz
    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos and Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: ruclips.net/video/QcHz3h81U-s/видео.html

    • @Ta-anley_Arts_official
      @Ta-anley_Arts_official Год назад +2

      I officially f****ing hate math....!!!!!!! And I have an exam in the coming twoooo weeekss!!!💀😠😤

    • @hassanmahmudal2163
      @hassanmahmudal2163 10 месяцев назад

      you got this big man @@Ta-anley_Arts_official

  • @hazymagnum6436
    @hazymagnum6436 4 года назад +245

    I truly appreciate how you explain all of your reasoning while tackling the problem.

  • @CateChapelle
    @CateChapelle 2 года назад +115

    4 years since I’ve taken calculus and now I need to integrate for my statistics class. This is a lifesaver

  • @Shavoregele
    @Shavoregele 3 года назад +700

    I DID THIS IN THE MIDDLE OF THE EXAM THANKS

  • @steffanokorafor1543
    @steffanokorafor1543 4 года назад +146

    Nothing but respect for you bro. You got your craft, and you share it with the world to make it a better place. Thank you

  • @Leo-go8oo
    @Leo-go8oo 4 года назад +40

    I have my Calc final this week, couldn't have asked for something better!

  • @Wisemansa
    @Wisemansa 3 месяца назад +3

    No extra useless intro and contents and straight to point. Appreciate that man!

  • @argonwheatbelly637
    @argonwheatbelly637 4 года назад +30

    36 years, and I still remember it. Wonderful, maths!

  • @Sham_Knubs
    @Sham_Knubs 3 года назад +22

    this will keep me from failing calc, I owe you a kidney thank you for actually teaching

  • @am5hoo348
    @am5hoo348 2 года назад +13

    this man is saving tutor's money many thanks 🥺😌
    You are very kind 🙂😌 I hope God bless you

  • @player-vo8yb
    @player-vo8yb 2 года назад +5

    i like that i dont have to hear the audio to understand the video. This is a lifesaver for people that needs to study in a noisy and busy place. Keep it up!.

  • @4XLibelle
    @4XLibelle Год назад +26

    Excellent! I am self=learning Calculus at 69 years old and this is tremendously helpful. Can you recommend a workbook that has numerous practice problems? Thank you for this video; much appreciated.

    • @Zextranet
      @Zextranet Год назад +1

      Same, I'm self learning integrals for fun

    • @sleepyneska
      @sleepyneska 8 месяцев назад

      Are u a master of calculus now ? \(^_^)/

    • @4XLibelle
      @4XLibelle 8 месяцев назад +1

      @@sleepyneskaObviously not. But I’m getting better. And having a helluva great time.

    • @sleepyneska
      @sleepyneska 7 месяцев назад

      @@4XLibelle happy to hear that !!

  • @thatguy7414
    @thatguy7414 2 года назад +4

    Bro I haven’t been able to get my head around definite integrals this makes so much sense thank you

  • @interstellaristic6067
    @interstellaristic6067 4 года назад +8

    I was watching a differentiation video and I felt the need to thank you from the bottom of my heart. Thankyou so much for teaching all the material so easily and interestingly. I have learned all my calculus from you. Your channel is really hope for ppl who don't understand stuff in school and can't afford tuitions. Thanks ❤️❤️

  • @vavafamily3049
    @vavafamily3049 4 месяца назад +2

    Best explanation I'm the history of forever!

  • @paull2937
    @paull2937 2 года назад +5

    I’m in 9th grade and my honors geometry class is so easy. Thank you for teaching me something that’s actually challenging.

    • @rajpaulsodhi6635
      @rajpaulsodhi6635 2 года назад +1

      Do you want a challenge? Try AP Calc BC

    • @niki2669
      @niki2669 Год назад +1

      This wasn't that challenging I even solved that myself correctly while I am in 7th grade (In romania)

    • @lumpstergash2380
      @lumpstergash2380 Год назад

      Nice I am in 7th grade and I am just bored so I want to learn Trig and Calc

    • @stefantudurache6336
      @stefantudurache6336 Год назад

      @@niki2669 same here

    • @migi9193
      @migi9193 Год назад

      am taking calculus as a normal class at 11th grade and im fighting for my life

  • @sharifhasan9430
    @sharifhasan9430 3 года назад +2

    Thank you very much from Germany. Danke scoen. You explained it really easy way. Only he is Genius who can simply explain a Complex problem. God Bless. Keep up bro.

  • @a-10wartaboo77
    @a-10wartaboo77 4 года назад +76

    You released this after my final! I got to laugh

    • @yangalaude
      @yangalaude 4 года назад +1

      Same as me 😂

    • @ggripen
      @ggripen 3 года назад +1

      He already uploaded about the same topic around 2 years before he uploaded this one??

    • @lune-3214
      @lune-3214 3 года назад +7

      Watching this as I do my exam. Hopefully it helps lmao

    • @daudidolqe5066
      @daudidolqe5066 3 года назад

      I need integral with indefinites and with e to some powers.struggling to get it.pleade help thanks.

    • @lune-3214
      @lune-3214 3 года назад +6

      @Ziggy Banda TBF it was open book and my philosophy is as long as you understand the concepts. Passed the course with an A, and I never want to take it again :)

  • @jcreatiga1980
    @jcreatiga1980 4 года назад +5

    Perfect timing. About to start Calculus. Thanks.

  • @PABLOESCOBBA
    @PABLOESCOBBA Месяц назад

    Watched this without knowing anything about derivatives and Integrals and I was still able to understand. This dude is too goated

  • @darp6021
    @darp6021 3 года назад +6

    5:20. "So at this point , we just need to do the math"
    I've been so confused as to what we had been doing from that time.

  • @skyblue4281
    @skyblue4281 4 года назад +8

    Yayyy finallyyyy💕 Thank you so much for helping me this much in all the subjects. I am too grateful to you. And I'm literaallyyy in love with your voice💕💯 Please do reply!! From Bangladesh!🇧🇩

  • @zoekaley1312
    @zoekaley1312 Год назад +1

    This just made it SO much easier to understand omg thank you

  • @georgettebeulah4427
    @georgettebeulah4427 4 года назад +2

    I love love your lectures all of them I watch and follow up daily. Love u.

  • @avyay9818
    @avyay9818 Год назад

    This is much quicker than the limits method, I definitely needed this.

  • @yanhesap6728
    @yanhesap6728 4 года назад +1

    I watched definite your integral videos which are released older and in the calculus play list today.

  • @mfundomabona70
    @mfundomabona70 Год назад +14

    bro here asking us to subscribe we did that years ago🤣

  • @samparticle
    @samparticle 3 года назад +7

    I am just 14, and I am really passionate about math and physics, so, integrals seem to be not so complex. Well, at least definite integrals seem to be not so hard to understand.

    • @untitled2006
      @untitled2006 2 года назад +3

      15 and in pre-calc, but my teacher is super wonky and is teaching us how to find derivatives. I want to stay a step ahead!

  • @Rjalphaomega
    @Rjalphaomega 3 года назад +2

    My teacher literally only taught us the properties, yet not how to find them and this is so much help, thank you so much

    • @aliciamolina3839
      @aliciamolina3839 3 года назад

      This is teaching us the fundamental theorem of calculus. Not the definite integral. The definite integral is about finding the area from taking the integral of a function.

  • @georgesadler7830
    @georgesadler7830 Год назад

    Professor Organic Chemistry Tutor, thank you for this short and sweet video/lecture on Definite Integrals. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.

  • @devondevon4366
    @devondevon4366 3 года назад +3

    Area = 164 6:37
    8x^4/4 + 3x^3/3 +6x^2/2
    2x^4 +x^3 +3x^2
    I end up with 216-52 =164

    • @niki2669
      @niki2669 Год назад +1

      It's correct too, I did that too

  • @skellcasm
    @skellcasm 5 месяцев назад

    I have my calc final this week, thanks for the help
    I also noticed you made an error at 5:16 on the last problem
    At F(b) you wrote 3(3)^1 instead of 3(3)^2
    Calculating after fixing this error yields F(b) = 216
    However you still get the same final answer which is 164 ((F(b) = 216) - ( F(a) = 52))
    Your videos have helped me learn more math than I've ever learned and are part of the reason I'm going to pass Calculus so thank you so much

  • @harmandhillon86
    @harmandhillon86 Год назад +1

    This helped me understand the subject better. Thank you as always!

  • @jaydenroblox5778
    @jaydenroblox5778 4 года назад +5

    I am literally only in 4th grade and I know derivatives and integrals already. I subbed!

  • @SickleM
    @SickleM Год назад +1

    thx for the quick tutorial!

  • @libra7897
    @libra7897 3 года назад +3

    Very clear explanation and tremendously helpful, thanks a lot

  • @ma.salvieamorcagbay1547
    @ma.salvieamorcagbay1547 Месяц назад

    you have been a great help to me for years now❤ thank you🥺

  • @samswitzer9515
    @samswitzer9515 8 месяцев назад

    This guy is the greatest teacher ever

  • @qanooni1250
    @qanooni1250 3 года назад +1

    Thank you for the simplicity... I have sent the link to my kids

  • @parasali9544
    @parasali9544 3 года назад

    I had watched so many vedios on this topic but no any other vedio can compete this vedio...

  • @shahzeen_mi4400
    @shahzeen_mi4400 2 года назад +2

    Very Clear Explanation, Thanks ❤️

  • @PotatoBoiOfficial
    @PotatoBoiOfficial Год назад +2

    absolutely phenomenal explanations!! thank you so much!

  • @albertlonga6995
    @albertlonga6995 2 года назад +1

    Thanks you are helping me very much

  • @sushih3302
    @sushih3302 Год назад +1

    Thank you for your clear explanations as always!!

  • @williamchen6738
    @williamchen6738 3 года назад

    Man, thanks for this video. So much easier to understand than the ebook that I had to read.

  • @alaayousef3676
    @alaayousef3676 3 года назад +3

    THANK YOU SO MUCH FOR HELPING!❤❤😭

  • @glauberfm2
    @glauberfm2 Год назад

    Really good explanation. Thank you for making a process to share-teach that is easy, bro.

  • @hassanmahmudal2163
    @hassanmahmudal2163 10 месяцев назад

    honesty cant thank this man welll enough

  • @abhilashasinha5186
    @abhilashasinha5186 Год назад +6

    you made calculus become 6th grade stuff

  • @darrenchang07
    @darrenchang07 4 года назад +10

    I have a question, I often see dx written at the end of indefinite and definite integrals. What is it supposed to symbolize? I see that it’s also written in this example.

    • @alonzos920
      @alonzos920 4 года назад +7

      It means "with respect to x"

    • @DarkMatterr
      @DarkMatterr 4 года назад +7

      dx = with respect to x. You'll get the hang of what it means when you study the u substitution method.

    • @aribawawistarayanottama343
      @aribawawistarayanottama343 3 года назад +1

      @@alonzos920 hey i want to ask a question...so basically, when do we need to use antiderivative and derivative....because in this video he uses antiderivative, why don't he just use derivative?

    • @TheBozn
      @TheBozn 2 года назад

      @@aribawawistarayanottama343 basically he's just finding his target anti derivative( integral) from the function of x. Then algebra to find the values
      If you want the derivative you derive it from the function instead of "antideriving" it
      Edit: actually you can call the integral the anti derivative. Because its the opposite of differentation(deriving).

    • @chandranichaki9580
      @chandranichaki9580 2 года назад

      ruclips.net/video/Z67zK4B6cfU/видео.html😊😊

  • @gengisbohx_
    @gengisbohx_ Год назад +1

    Thanks now I can prove why the area of a rectangle with dimensions of 2 and 3 is 6. 🙂

  • @alaayousef3676
    @alaayousef3676 3 года назад +3

    Can you please make a full explanation with exercises for sequences and complex numbers 😭

  • @razhan4888
    @razhan4888 4 года назад

    Best channel on RUclips. Hands down.

  • @untitled2006
    @untitled2006 2 года назад

    15 and in pre-calc, but my teacher is super wonky and is teaching us how to find derivatives. I want to stay a step ahead!

  • @KingQuetzal
    @KingQuetzal 3 года назад

    thank you. I have a teacher that won't teach (or respond to questions) that is forcing us to use a book with 1 example per chapter.

  • @Justin-ml8id
    @Justin-ml8id 2 года назад +1

    Thank you so much. So easy to understand.

  • @TacoLover243
    @TacoLover243 6 месяцев назад

    Thank you. Helped A LOT, you are a very good teacher :)

  • @southernwoman2010
    @southernwoman2010 4 года назад +2

    Thank God I passed Calculus like 2 weeks ago

  • @moemamalalala
    @moemamalalala Год назад

    i love you you make math so much easier🙏❤️

  • @williamskaudzu3523
    @williamskaudzu3523 Год назад

    Its always a pressure watching your tutorials

  • @aashishg2953
    @aashishg2953 2 года назад +1

    Video of the day ☺️☺️☺️☺️

  • @AmeyKalkotwarr
    @AmeyKalkotwarr 9 месяцев назад +4

    Lol you're so good teacher you made a 14 y/o learn definite integration 😂

  • @BlueberryMiffy
    @BlueberryMiffy 8 месяцев назад

    The organic chem tutor has saved me once again

  • @JasonMandawe-qq7hx
    @JasonMandawe-qq7hx 2 дня назад

    Very precise and helpful thank u

  • @chitogeasunaheartfilia4823
    @chitogeasunaheartfilia4823 2 года назад +1

    Thank u soooo much i really appreciate it!!

  • @mashmeel4306
    @mashmeel4306 Год назад

    thanks man im in grade 8 and with ur help i did this integral

  • @ashishraulin
    @ashishraulin 2 года назад

    Thank you so muchhhhhh sir...lots of love from India😘😘😘😘❤️❤️🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏❤️🙏🙏

  • @MigsPen
    @MigsPen 9 месяцев назад +1

    Life and time saver

  • @vinianarokovuna7750
    @vinianarokovuna7750 2 года назад

    I love your teaching ❤

  • @nicholaswhite3434
    @nicholaswhite3434 3 года назад

    Best explanation ever

  • @murugesankarthikeyan7821
    @murugesankarthikeyan7821 2 года назад

    This video was very helpful. Thx bro

  • @mati_oscar
    @mati_oscar 2 года назад +1

    This is a great video!

  • @LameesLamees.s7
    @LameesLamees.s7 5 месяцев назад

    This dude is a legend

  • @GIGACHAD00013
    @GIGACHAD00013 7 месяцев назад

    hello i am a 8th grader , it really helped me and thanks for making the video

  • @shaundelaney2127
    @shaundelaney2127 9 месяцев назад

    Great stuff, well done and thank you

  • @CycloneSlayer
    @CycloneSlayer Год назад

    my exam is tmrw, u the goat

  • @11a-vvmsrirangasuthan.t62
    @11a-vvmsrirangasuthan.t62 4 года назад

    You are my treasure bro

  • @ZAM999
    @ZAM999 Год назад +1

    you are the bestttttttttttttttttttttttt!!!!!!!!!!!!!!!!!!!!!!!!

  • @blob643
    @blob643 2 года назад

    Ok honestly, Corona is really messing up my college life, I am a student who can't learn that well with just reading, I need someone to explain things to me
    I would like to thank your videos

  • @jimmybillkaiku490
    @jimmybillkaiku490 Год назад

    Thanks so much! Very helpful.

  • @SuperYoonHo
    @SuperYoonHo 2 года назад +1

    thanks so much sir

  • @ThatsPeeks
    @ThatsPeeks 2 года назад

    Helps me a lot, thanks!

  • @Kwintessential2
    @Kwintessential2 4 года назад

    The explanations are clear

  • @badam9656
    @badam9656 4 года назад

    You released this on my sisters birthday

  • @seemaarora8057
    @seemaarora8057 Год назад

    Thank you very much sir ❤

  • @davidgandolfo1259
    @davidgandolfo1259 2 года назад

    Simply incredible

  • @day35ofdebuggingthesamelin56
    @day35ofdebuggingthesamelin56 4 года назад +1

    thank you!

  • @jakeletto4120
    @jakeletto4120 2 года назад

    Thanks i got confused when to use c and when not to use it while integrating

  • @alishanangla2716
    @alishanangla2716 2 года назад

    Thanks for coming in my life

  • @amadeomotta7029
    @amadeomotta7029 Год назад

    Thank you so much.

  • @RealitikDaily
    @RealitikDaily 2 года назад +1

    Learned more in 7 mn than 10 hours of courses...

  • @connorsparks874
    @connorsparks874 Год назад

    Idk where I’d be without you. Probably uc Merced lol

  • @yonaswubet4601
    @yonaswubet4601 2 года назад

    Very great exprestion !

  • @yanhesap6728
    @yanhesap6728 4 года назад

    I think you should make videos which are about engineering math.

  • @greatheights5481
    @greatheights5481 Год назад

    Thank you sir❤

  • @Tonextrank
    @Tonextrank Год назад

    To define F by anything must use NOCH

  • @Meemansha__54
    @Meemansha__54 2 года назад

    Thank you 😊

  • @JEBJOSH
    @JEBJOSH 4 года назад

    Thank you

  • @austinlincoln3414
    @austinlincoln3414 3 года назад

    WOW this is amazing!

  • @NiteshKumar-fh2mb
    @NiteshKumar-fh2mb 3 года назад

    I understand completly