Basic Integration Problems

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  • Опубліковано 28 вер 2024
  • 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-tuto...
    Full-Length Videos and Worksheets:
    / collections
    Integration - Formula Sheet:
    bit.ly/3XCT6oz

КОМЕНТАРІ • 196

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +20

    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: ua-cam.com/video/LZf8mMxE3l4/v-deo.html

    • @TerraBlo
      @TerraBlo 10 місяців тому +1

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

    • @Burningarrow7
      @Burningarrow7 8 місяців тому +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.

  • @BeckyBruce-rq5mm
    @BeckyBruce-rq5mm 2 місяці тому +9

    I am not sure if you read your comments anymore, but I wanted to let you know that your videos are very helpful. I watched your videos to pass my middle praxis teacher and now I am using them to pass my 5165 praxis. I also play your videos in my high school math class to better explain a formula or technique. Thank you.

  • @rustjones6914
    @rustjones6914 4 роки тому +211

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

    • @Matt-sc6gg
      @Matt-sc6gg 3 роки тому +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

  • @cjcodes.web3
    @cjcodes.web3 4 роки тому +289

    This guy helped me finish my firstyear in uni singlehandedly

    • @jacobrousse111
      @jacobrousse111 2 роки тому +8

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

    • @timetothrowpogchamp5188
      @timetothrowpogchamp5188 2 роки тому +2

      This guy's gonna get me through senior secondary

    • @elite7585
      @elite7585 2 роки тому +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 роки тому

      U guys didnt study this in school?

    • @yu12233
      @yu12233 2 роки тому +3

      @@elite7585 lmao no one studies calculus in 9th grade

  • @marcodayao4127
    @marcodayao4127 5 років тому +22

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

  • @bsodmike
    @bsodmike 3 роки тому +36

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

  • @wild2ro
    @wild2ro 5 років тому +38

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

  • @ismailay.jammeh6698
    @ismailay.jammeh6698 6 років тому +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!

  • @bekelehabtemariam1349
    @bekelehabtemariam1349 3 роки тому +8

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

  • @owenkaufman335
    @owenkaufman335 5 років тому +105

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

  • @lamisahumayera1025
    @lamisahumayera1025 5 років тому +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.

  • @megajacka7057
    @megajacka7057 3 роки тому +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

  • @himanshu9559
    @himanshu9559 5 років тому +11

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

  • @xanderlee9069
    @xanderlee9069 3 роки тому +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

  • @alinmarta1114
    @alinmarta1114 4 роки тому +8

    to be honestly you are the best tutor ever ! ❤️

  • @MariamingAround
    @MariamingAround 3 роки тому +4

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

  • @mahdineisani5472
    @mahdineisani5472 Рік тому +3

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

  • @olli999
    @olli999 Рік тому

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

  • @existentialrap521
    @existentialrap521 2 роки тому +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 2 роки тому +1

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

    • @dropyourcroissant830
      @dropyourcroissant830 2 роки тому +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 :")

  • @Zaina_tarek
    @Zaina_tarek 8 місяців тому

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

  • @Apuotmachar
    @Apuotmachar Рік тому +1

    I am learning day by day thanks

  • @nazliizadeen9893
    @nazliizadeen9893 3 роки тому +1

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

  • @angelkim2855
    @angelkim2855 4 роки тому +5

    I wish I knew him before I took my Calculus class

  • @SmittyKat
    @SmittyKat 6 років тому +4

    You, good sir, are a saint.

  • @shahidlone4168
    @shahidlone4168 3 роки тому +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

  • @thulirstories1862
    @thulirstories1862 Рік тому

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

  • @machacooling
    @machacooling 5 місяців тому +1

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

  • @sugaswagagustd
    @sugaswagagustd 2 місяці тому

    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

  • @ayeshasheraz673
    @ayeshasheraz673 2 роки тому

    This guy is better than my teacher!

  • @kameronbriggs235
    @kameronbriggs235 5 років тому

    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.

  • @funnycomedy6774
    @funnycomedy6774 Рік тому

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

  • @PrincessOfSlytherin-df9je
    @PrincessOfSlytherin-df9je 2 роки тому +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 роки тому

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

  • @AbdiiKooti
    @AbdiiKooti 6 місяців тому +1

    why is my hand not always writing the constant C number

  • @helenemso32
    @helenemso32 8 місяців тому +1

    ok teacher thank you for your learn mathmatics thanks

  • @leizalalramdina149
    @leizalalramdina149 4 роки тому

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

  • @leandrocrispino1217
    @leandrocrispino1217 5 років тому +2

    Done! Thank you!

  • @stillhere6606
    @stillhere6606 3 роки тому +2

    Thnx a lot !! ❤

  • @harinesh0723
    @harinesh0723 Рік тому

    10.46 - ln

  • @Hasinisarathy
    @Hasinisarathy Рік тому +1

  • @danishali8335
    @danishali8335 3 роки тому +2

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

  • @ayandanokuzotha414
    @ayandanokuzotha414 3 роки тому

    I know Maths because of you

  • @miriamputter7059
    @miriamputter7059 Рік тому

    Thank you so so much!

  • @himadragon282
    @himadragon282 5 років тому

    Thanks alot.... your the best

  • @robertcobo808
    @robertcobo808 3 роки тому

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

  • @MuhammadAfzal-hl7pl
    @MuhammadAfzal-hl7pl 3 роки тому

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

  • @MuhammadAfzal-hl7pl
    @MuhammadAfzal-hl7pl 3 роки тому

    Please explain this with examples

  • @taiwofrancis8774
    @taiwofrancis8774 3 роки тому

    Thank you very much

  • @dew569
    @dew569 3 роки тому

    Such nice lecture

  • @machacooling
    @machacooling 5 місяців тому +1

    OCT is the besstttt

  • @thehottalk7606
    @thehottalk7606 Рік тому +1

    Forgetting that c will be the end of me😭😭😭

  • @hamayoonshah1990
    @hamayoonshah1990 Рік тому

    This organic teacher must have come from the heavens to help us all. All Hail Organic Chemistry Teacher

  • @lightonmonday5086
    @lightonmonday5086 Рік тому

    I was once in this class 🙏❤️

  • @AGRuwan
    @AGRuwan 6 років тому +5

    great

    • @mayangeek1469
      @mayangeek1469 6 років тому

      Ruwan Pradeep mu paharta krnawa ne bn.

  • @cesslovesrobloxx
    @cesslovesrobloxx 7 місяців тому

    Thanks!

  • @JohannesUushona-r6u
    @JohannesUushona-r6u 10 місяців тому

    5 devide by x ?

  • @belu-film6335
    @belu-film6335 2 роки тому

    10:02 so what will be?

  • @chavasinyadalmasgulema885
    @chavasinyadalmasgulema885 3 роки тому

    Thanks

  • @luqmanyusri2625
    @luqmanyusri2625 Рік тому

    Tq lecturer

  • @GymDisciplineMotivation
    @GymDisciplineMotivation 6 місяців тому

    why did he reverse those 8:31

  • @MAX_TV99
    @MAX_TV99 8 місяців тому

    God bless you ❤❤❤❤❤❤

  • @thegamingboii6754
    @thegamingboii6754 3 роки тому

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

  • @h0bohunter344
    @h0bohunter344 4 роки тому

    thanks dude

  • @andrewmuwonge7922
    @andrewmuwonge7922 11 місяців тому

    Thanking

  • @danianajem1700
    @danianajem1700 Рік тому

    5:34

  • @duaafatima-nk3bo
    @duaafatima-nk3bo Рік тому

    nice

  • @vichy5210
    @vichy5210 Рік тому

    10:12

  • @fatiman9552
    @fatiman9552 4 роки тому

    omg thank youuuuuuu

  • @valkeitos
    @valkeitos Рік тому

    The c is confusing

  • @sadafsidiqi6751
    @sadafsidiqi6751 2 місяці тому

    You sound somehow like The Weeknd 😍

  • @isacoto948
    @isacoto948 Рік тому

    Seen

  • @oguamenabenjamin7363
    @oguamenabenjamin7363 9 місяців тому

    Best

  • @nyambelilonga555
    @nyambelilonga555 3 роки тому

    The vest so far

  • @aimlessstorm
    @aimlessstorm Рік тому

    the voice is too low

  • @owenkaufman335
    @owenkaufman335 5 років тому +1

    i love u

  • @cuteworld1637
    @cuteworld1637 4 роки тому

    Sir what is your name?

  • @IdemudiaVictory
    @IdemudiaVictory 2 місяці тому

    😢i am lost

  • @vinish542
    @vinish542 5 років тому

    10x to the forf 😂

  • @breezefall1064
    @breezefall1064 4 роки тому

    more slow paced video is here
    ua-cam.com/video/umDBIZUryeA/v-deo.html

  • @redianetolentino6433
    @redianetolentino6433 2 роки тому

    your teaching style is only for fast learners, i dont understand anything

  • @winstonsabellona2229
    @winstonsabellona2229 6 років тому +364

    better than khan.. (for me)

  • @lanomusambazi8654
    @lanomusambazi8654 5 років тому +271

    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.

  • @gelina2650
    @gelina2650 2 роки тому +158

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

  • @georgemuronda1440
    @georgemuronda1440 3 роки тому +13

    This the real goat 💯💪🏾

  • @MigzMercado
    @MigzMercado 3 роки тому +14

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

  • @mohsenamini3297
    @mohsenamini3297 4 роки тому +65

    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 3 роки тому +10

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

    • @machacooling
      @machacooling 5 місяців тому +1

      Octs name is Julio???

  • @uychiha3928
    @uychiha3928 3 роки тому +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?

    • @rjfp00000
      @rjfp00000 Рік тому +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...

  • @ardalankhalil
    @ardalankhalil Рік тому +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!

  • @Bird53826
    @Bird53826 Рік тому +2

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

  • @kinghorus8629
    @kinghorus8629 Рік тому +1

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

  • @munisailkhomova9266
    @munisailkhomova9266 2 роки тому +3

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

  • @samueltorres7013
    @samueltorres7013 2 роки тому +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

  • @joshoj5568
    @joshoj5568 Рік тому +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!

  • @cooly_20
    @cooly_20 Рік тому +1

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

  • @mohammedfarazahmed2078
    @mohammedfarazahmed2078 2 роки тому +1

    Thank you soooooo much Sir

  • @blueicer101
    @blueicer101 Місяць тому

    This is an excellent refresher man. I'm using it to relearn some integration so I can understand my Spiking neural networks for university. Big respect.

  • @nihatdonmezov8354
    @nihatdonmezov8354 3 роки тому +2

    thank you so much!

  • @shankargupta5893
    @shankargupta5893 4 місяці тому

    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.

  • @Xdbabiiliz
    @Xdbabiiliz 5 років тому +3

    you are the reason I pass my exams!!

  • @baboucarrgibba9336
    @baboucarrgibba9336 2 роки тому +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.

  • @shankargupta5893
    @shankargupta5893 4 місяці тому

    love them, they're basically anti derivatives