Basic Integration Problems

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  • Опубликовано: 6 мар 2018
  • This calculus video tutorial provides an introduction into basic integration rules. It explains how to find the antiderivative of a constant k and how to use the power rule for integration. It also explains how to find the indefinite integral of trigonometric functions as well as the antiderivatives of rational functions and radical functions with cube roots. In addition, it explains how to integrate exponential functions such as e^x and how to know when to get natural log functions as the product of indefinite 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 • 192

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +15

    Next Video: ruclips.net/video/LZf8mMxE3l4/видео.html
    Final Exams and Video Playlists: www.video-tutor.net/

    • @TerraBlo
      @TerraBlo 8 месяцев назад +1

      Bro I love your video I'm 10th grade and I understand all of this easy

    • @Burningarrow7
      @Burningarrow7 6 месяцев назад +1

      In all your videos you give the easiest questions to fool people into thinking they understand the material so they watch your videos more. All the examples you use are very basic and nothing like the questions that students actually come across in exams. A good teacher prepares the student for everything.

  • @cjcodes1764
    @cjcodes1764 4 года назад +272

    This guy helped me finish my firstyear in uni singlehandedly

    • @blacklion4501
      @blacklion4501 2 года назад +5

      Me too

    • @jacobrousse111
      @jacobrousse111 2 года назад +7

      He helped me finish my entire bachelor in neuroscience lol better than any prof i've ever had

    • @timetothrowpogchamp5188
      @timetothrowpogchamp5188 2 года назад +2

      This guy's gonna get me through senior secondary

    • @elite7585
      @elite7585 2 года назад +3

      the fact that u guys have to study this at uni and we've to study this in the 9th grade-

    • @casualtube1541
      @casualtube1541 2 года назад

      U guys didnt study this in school?

  • @rustjones6914
    @rustjones6914 4 года назад +203

    It's crazy how much a good teacher can make a difference. Thank you!

    • @Matt-sc6gg
      @Matt-sc6gg 3 года назад +6

      Exactly , I am in 9th grade and I am watching this! Wow!
      I also watched integration and differentiation from Eddie woo, trust me it is worth your time

  • @lanomusambazi8654
    @lanomusambazi8654 4 года назад +265

    I like this man the organic chemist. He has made me a great mathematician. How I wish to know him personally and get in touch. I have understood a lot of concepts through him and Nancy. Mmmmm these two have made my calculus knowledge great. Sir and madam I love you. You really understand these concepts. I respect and salute you for the great work you are doing. Stay blessed all way.

    • @accelworld6.031
      @accelworld6.031 2 года назад +7

      @@didi4478 now what ?

    • @chii2000
      @chii2000 2 года назад +2

      Who’s Nancy?

    • @lucasherrin7708
      @lucasherrin7708 2 года назад +4

      @@chii2000 nancy pi

    • @cynical5150
      @cynical5150 Год назад +1

      @@didi4478 yea, shouldn't your name be dd. Sounds better

    • @user-th6qb8pv3f
      @user-th6qb8pv3f Год назад +2

      @@didi4478 he's not a native speaker though he's doulingual 🤷🏼‍♂️

  • @owenkaufman335
    @owenkaufman335 5 лет назад +102

    can we all make a fund for this guy he needs to get payed a lot more than what youtube is paying him

  • @gelina2650
    @gelina2650 2 года назад +152

    0:37 Integrating a constant
    1:11 Power Rule
    5:05 Trigonometric functions
    8:59 Exponential Function
    10:15 Rational function

  • @mohsenamini3297
    @mohsenamini3297 4 года назад +61

    Julio, great job. I am in my 60s, I am taking 3 college math classes in one semester without watching your video clip, I would be lost and confused. Each college professor has his or her way of teaching. None of them teach as clear as you do. God bless you for your great work here.

    • @lanomusambazi8654
      @lanomusambazi8654 2 года назад +10

      I'm encouraged by your age as I am in my early 40s .

    • @machacooling
      @machacooling 3 месяца назад +1

      Octs name is Julio???

  • @bsodmike
    @bsodmike 3 года назад +35

    Very clearly explained. Allowed me to quickly refresh my memory, especially with regards to natural logs. Nicely done. Thanks!!

  • @wild2ro
    @wild2ro 5 лет назад +37

    Can't say this enough, thank you and God bless you!

  • @marcodayao4127
    @marcodayao4127 5 лет назад +20

    you're the reason why I passed ,even ace some , my calc test. One day I'll make it up to you

  • @bekelehabtemariam1349
    @bekelehabtemariam1349 3 года назад +8

    The best teacher I have ever seen. I don't know what to say, thank you so much.

  • @megajacka7057
    @megajacka7057 3 года назад +13

    Your explanation are second to none I know of 👍👍 it's well detailed and self understandable , God bless u sooo very much ✨✨your explanation was all I needed for my upcoming exams

  • @lamisahumayera1025
    @lamisahumayera1025 5 лет назад +3

    seriously!!!!!!!!!!!!!!!! I read my IAL fp1 C4 book 2 times but I only understood after seeing ur vedio all of ur videos are really g8. Thnx Ur really the ultimate solution to maths chapter understanding.

  • @ismailay.jammeh6698
    @ismailay.jammeh6698 5 лет назад +18

    i hardly comments but i think i have to!
    watching your lectures videous has signifincantly boast my knowledge and confident in mathematics.
    I really regretted why i do not use to watch your lectures when i was doing my Bachelor Degree.
    Thanks so much, this videous are really helping me in my Masters program in every aspect of calculus, advance statistics and mathematical methods in economics.
    Keep the good job. its well appreciated!

  • @MariamingAround
    @MariamingAround 3 года назад +4

    I have been struggling with this lately , you made it look so easy. Thank you

  • @himanshu9559
    @himanshu9559 5 лет назад +11

    Sir , you save lives.
    Thank you for your help.

  • @ardalankhalil
    @ardalankhalil Год назад +2

    very soothing voice, I love math and integrals (never been that good at it) though, I leave this video in the background instead of background music!

  • @baboucarrgibba9336
    @baboucarrgibba9336 2 года назад +1

    you are the best teacher, i struggle a lot to understand this, you make it so simple for me. thank you so much again.

  • @joshoj5568
    @joshoj5568 Год назад +2

    I came back after uni holidays with integration having buggered off out of my brain. This is a fantastic refresher and just super useful, thanks loads!

  • @mahdineisani5472
    @mahdineisani5472 Год назад +3

    Mate, I had serious problems with this integration stuff. Your videos have been so useful for me. I appreciate it.

  • @munisailkhomova9266
    @munisailkhomova9266 2 года назад +3

    You are amazing . Idk , what would i do without your exlanations

  • @alinmarta1114
    @alinmarta1114 3 года назад +8

    to be honestly you are the best tutor ever ! ❤️

  • @miNx2.1
    @miNx2.1 8 месяцев назад

    Thank you very much, it's precisely clear and simple. Better than other teaching videos here on internet

  • @winstonsabellona2229
    @winstonsabellona2229 5 лет назад +345

    better than khan.. (for me)

  • @olli999
    @olli999 Год назад

    Never learned integration, and my statistics class is hell without it. This really explained everything I need, thank you

  • @nazliizadeen9893
    @nazliizadeen9893 3 года назад +1

    Integration was a mess inside of me but with your explanation it's organized well. Thank you & God bless you

  • @xanderlee9069
    @xanderlee9069 3 года назад +4

    This is my problem since I was like,,7th grade and now I'm on 9th grade and this helped me alot. Thank youu

  • @MigzMercado
    @MigzMercado 3 года назад +14

    I can just listen to you all the time without joining our Calculus virtual discussion lol

  • @Zaina_tarek
    @Zaina_tarek 6 месяцев назад

    Man you're the best maths teacher I've ever had "I'm a uni student now!

  • @thulirstories1862
    @thulirstories1862 Год назад

    Your teaching modelation is very nice
    Thank you so much for your teaching

  • @existentialrap521
    @existentialrap521 2 года назад +4

    Taking differential equations. I kinda blanked on all my integrals and had a tough time my first week. Taking time to re-learn this all. Awesome video. Thx BROODA

    • @existentialrap521
      @existentialrap521 Год назад +1

      B+ even after getting Cs in Calc 1 and Calc 2. It’s POSSIBLE BOIIS

    • @dropyourcroissant830
      @dropyourcroissant830 Год назад +2

      @@existentialrap521 good job!!!!!
      i have a final tomorrow and im trying to learn integration today cus i didnt understand from our professor wish me luck :")

  • @theresamadimutsa3963
    @theresamadimutsa3963 2 года назад

    guys you keep me going.keep up the good standard

  • @samueltorres7013
    @samueltorres7013 2 года назад +3

    Thank you so much it was a great video to help me remember how to solve Integrals now that I'm returning to the university after 2 years of recovery as I suffer a Stroke in 2019 and affected my long-term memory

  • @georgemuronda1440
    @georgemuronda1440 3 года назад +13

    This the real goat 💯💪🏾

  • @Xdbabiiliz
    @Xdbabiiliz 5 лет назад +3

    you are the reason I pass my exams!!

  • @SmittyKat
    @SmittyKat 6 лет назад +4

    You, good sir, are a saint.

  • @songslife214
    @songslife214 2 года назад +1

    thank you so much, you made this topic really easy❤

  • @Bird53826
    @Bird53826 Год назад +2

    This dude needs to be on the top ten teachers in the world list

  • @funnycomedy6774
    @funnycomedy6774 Год назад

    Thank you I was struggling with this topic. Thank you bto for this wonderful video❤❤❤.

  • @jae181
    @jae181 2 года назад

    I’m obsessed with his voice and presentation

  • @shahidlone4168
    @shahidlone4168 3 года назад +3

    R E S P E C T
    U SIMPLY ARE THE BEST SIR 👍👍👍👍👍
    Honestly it's because of ur lectures I'm able to drive things

  • @majakmajokkhon6770
    @majakmajokkhon6770 Год назад +1

    I am learning day by day thanks

  • @FrancisBGaye
    @FrancisBGaye 4 года назад

    You make me understand integration thank you sir

  • @machacooling
    @machacooling 3 месяца назад +1

    We're so blessed.....thanks to this guy

  • @farzeenferozeae9607
    @farzeenferozeae9607 4 года назад +1

    You Are The best teacher

  • @leizalalramdina149
    @leizalalramdina149 4 года назад

    yooo .... thank uuu ...... your explanation is so good (i thought for all of us.....)

  • @AliHassan-zg8it
    @AliHassan-zg8it 2 года назад

    This tutor should stay online for life

  • @angelkim2855
    @angelkim2855 4 года назад +5

    I wish I knew him before I took my Calculus class

  • @leonardmakazajoseph839
    @leonardmakazajoseph839 2 года назад

    Thanks for educating and well come in Tanzania

  • @kameronbriggs235
    @kameronbriggs235 5 лет назад

    These are great, and im learning a lot. But maybe consider re-arranging the playlist a bit. I guess it doesnt matter, but its a little out of order sometimes it seems.

  • @kinghorus8629
    @kinghorus8629 Год назад +1

    I appreciate your work, I really do but please can you do a video on Laplace transform?😥🙏

  • @ayeshasheraz673
    @ayeshasheraz673 2 года назад

    This guy is better than my teacher!

  • @leandrocrispino1217
    @leandrocrispino1217 4 года назад +2

    Done! Thank you!

  • @wanabuolla6760
    @wanabuolla6760 3 года назад

    U are genius... almost Einstein ♥️

  • @mohammedfarazahmed2078
    @mohammedfarazahmed2078 2 года назад +1

    Thank you soooooo much Sir

  • @shankargupta5893
    @shankargupta5893 2 месяца назад

    love them, they're basically anti derivatives

  • @ricardokhuliso6193
    @ricardokhuliso6193 Год назад +1

    The fact that out lecture gave us a question exactly like the one you said "it won't work" is killing me😭

  • @himadragon282
    @himadragon282 5 лет назад

    Thanks alot.... your the best

  • @yapsejaiteh7
    @yapsejaiteh7 2 года назад

    Thank you very much Sir.

  • @PrincessOfSlytherin-df9je
    @PrincessOfSlytherin-df9je 2 года назад +3

    At 10:38 shouldn't there be absolute value signs around x? I thought when taking the integral of 1/x, it would be ln(|x|)?

    • @JKMath
      @JKMath 2 года назад

      Yep, you are correct! The proper way would be to use absolute value bars around the x.

  • @uychiha3928
    @uychiha3928 3 года назад +4

    Can someone explain to me the difference between 2:36 and 10:29?
    why not use the power rule for some of the equations past 10:29?

    • @disabled_tuna
      @disabled_tuna Год назад +1

      You can, but you cannot use power rule if the given exponent is -1... Since the formula for power rule is (u^(x + 1)) / (x + 1), the denominator would result to 0, which would make it indeterminate...

  • @nihatdonmezov8354
    @nihatdonmezov8354 3 года назад +2

    thank you so much!

  • @georgesadler7830
    @georgesadler7830 Год назад +2

    Professor Organic Chemistry Tutor, thank you for a fantastic video/lecture on Basic Integration Problems in Calculus. The only problem with this video is that the absolute value is missing after the ln at the 10:41 minute mark and several examples that follow in the video. Please correct these errors in the video.

  • @MzwandileHarmans
    @MzwandileHarmans 3 года назад

    Isn’t the integral of 1/x equals ln |x| + c ? Or is not important to have that absolute x?

  • @dew569
    @dew569 3 года назад

    Such nice lecture

  • @shankargupta5893
    @shankargupta5893 2 месяца назад

    fe^xdx = e^x / ( by chain rule, it's basically reversed it took × but now it'll be helped by division for reverse process.) dx/dx = e^x / 1.

  • @niceguy4801
    @niceguy4801 3 года назад

    Thankyou a lot Sir!

  • @stillhere6606
    @stillhere6606 3 года назад +2

    Thnx a lot !! ❤

  • @taiwofrancis8774
    @taiwofrancis8774 2 года назад

    Thank you very much

  • @miriamputter7059
    @miriamputter7059 Год назад

    Thank you so so much!

  • @lamisahumayera1025
    @lamisahumayera1025 5 лет назад

    where to post if I have any query ????

  • @_Miss.O
    @_Miss.O Год назад +1

    Kindly check at 9:38 minute video the derivative of 7x^-3 should be -21x^-2 before you proceed to give the answer. Thank you!

    • @plumbow4390
      @plumbow4390 5 месяцев назад +1

      its 7 because its 7x - 3 not 7x^-3

  • @robertcobo808
    @robertcobo808 2 года назад

    buti nlng nalagpasan ko yan..muntik pa aq bumagsak jan

  • @user-br5id5kw1i
    @user-br5id5kw1i 4 месяца назад +1

    why is my hand not always writing the constant C number

  • @baburcful
    @baburcful Год назад

    It's a big task for me to remember to ad the c at the end everytime

  • @helenemso32
    @helenemso32 6 месяцев назад +1

    ok teacher thank you for your learn mathmatics thanks

  • @MuhammadAfzal-hl7pl
    @MuhammadAfzal-hl7pl 3 года назад

    Under what condition that happened
    And what is outcome of these formulas

  • @ayandanokuzotha414
    @ayandanokuzotha414 3 года назад

    I know Maths because of you

  • @sugaswagagustd
    @sugaswagagustd День назад

    a short tip on how to remember the derivatives of trigonometric functions
    must memorize= Sin U =( cos u) u' and Cos U= ( -sin u ) u'
    u' is a function of x
    Sec--> Sec -Csc

  • @skullmax7216
    @skullmax7216 3 года назад

    What is +c doing with every answer. Should we write +c with every answer even there is nothing to do with +c

  • @MuhammadAfzal-hl7pl
    @MuhammadAfzal-hl7pl 3 года назад

    Please explain this with examples

  • @thegamingboii6754
    @thegamingboii6754 3 года назад

    10:05 what is the answer plz can u say i would be grateful

  • @joeyyeet2970
    @joeyyeet2970 5 месяцев назад

    what rule did you use in 12:20

  • @lightonmonday5086
    @lightonmonday5086 Год назад

    I was once in this class 🙏❤️

  • @ezpznoob8092
    @ezpznoob8092 4 месяца назад

    oi thx mate im abt to start this unit in HS

  • @h0bohunter344
    @h0bohunter344 4 года назад

    thanks dude

  • @dzone5839
    @dzone5839 5 лет назад +2

    How to know if Im going to use log or just normal integrating?

  • @cesslovesrobloxx
    @cesslovesrobloxx 5 месяцев назад

    Thanks!

  • @ramshatariq3796
    @ramshatariq3796 2 года назад

    This man is goat

  • @luqmanyusri2625
    @luqmanyusri2625 Год назад

    Tq lecturer

  • @chavasinyadalmasgulema885
    @chavasinyadalmasgulema885 3 года назад

    Thanks

  • @abelbelete2398
    @abelbelete2398 4 года назад

    great man

  • @danishali8335
    @danishali8335 3 года назад +2

    If i became successful engineer its just because god showed me you

  • @whoamisecurity9586
    @whoamisecurity9586 2 года назад

    you are just awesome

  • @Hasinisarathy
    @Hasinisarathy Год назад +1

  • @EricGallant24
    @EricGallant24 2 года назад

    first year uni being asynchronus has fucked me in calculus, i didnt watch any of the videos on integration and i am lost af in the first week of second year... got a quiz in 5 days tryna catch up lol

  • @harinesh0723
    @harinesh0723 Год назад

    10.46 - ln

  • @user-dr5it1ds6s
    @user-dr5it1ds6s 8 месяцев назад

    5 devide by x ?

  • @AGRuwan
    @AGRuwan 6 лет назад +5

    great

    • @mayangeek1469
      @mayangeek1469 5 лет назад

      Ruwan Pradeep mu paharta krnawa ne bn.

  • @AbegailCatahan
    @AbegailCatahan 4 года назад +1

    It's help a loy