❖ Basic Integration Problems ❖

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  • Опубліковано 9 січ 2025

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  • @gardenmenuuu
    @gardenmenuuu 4 роки тому +101

    How do i donate to the fund I am really grateful to u😊

    • @patrickjmt
      @patrickjmt  4 роки тому +16

      patrickjmt on Patreon is the easiest way i think :)
      there is also a paypal link on the 'about section' of my youtube page.
      thanks!!

    • @gardenmenuuu
      @gardenmenuuu 4 роки тому +30

      Thanks man you are still there replying to an 8 year old video🤗

    • @laytonpratt
      @laytonpratt 3 роки тому +2

      Watching this in May lol

    • @gardenmenuuu
      @gardenmenuuu 3 роки тому

      @@laytonpratt haha

    • @movieupdates143
      @movieupdates143 3 роки тому +2

      In india final exams will be in march😂

  • @patrickjmt
    @patrickjmt  5 років тому +66

    Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other!
    Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!

    • @serengazer3465
      @serengazer3465 5 років тому +2

      Hi I think your math videos are extremely helpful!

    • @sureshapoojary3271
      @sureshapoojary3271 5 років тому +1

      Sir can solve( x3-1) X power 5

    • @mehracmnzad9789
      @mehracmnzad9789 5 років тому +2

      hi! patrick you show new video our please! about integral

    • @mudanghaoscar7545
      @mudanghaoscar7545 5 років тому +1

      Wat do we do if we have an Expression Including e^x

    • @anika6052
      @anika6052 4 роки тому +1

      Could you do a differentiation video too please?!!

  • @mmmchestnut4085
    @mmmchestnut4085 9 років тому +54

    My professor actually does an excellent job of explaining the material and I have no complaints about him, I just love these videos for how convenient they are for studying. The organization is very easy to follow and the calm atmosphere is so relaxing and helpful.

  • @samestate11
    @samestate11 5 років тому +33

    You could imagine a person has to be really good at explaining math homework like patrickJMT to be one of my top 10 favorite youtubers

  • @fadsmfawopefaw
    @fadsmfawopefaw 11 років тому +327

    My class average was a failing grade and I got a high C because of you. So glad I didn't have to drop!

  • @nickharris8205
    @nickharris8205 9 років тому +992

    I bet these videos get spikes in traffic every December and May because of college kids cramming for finals lol

    • @patrickjmt
      @patrickjmt  9 років тому +164

      +Nick Harris you would win that bet

    • @aleodeleon1621
      @aleodeleon1621 9 років тому +5

      +Nick Harris Absolutely!

    • @redblack8766
      @redblack8766 9 років тому +26

      +Nick Harris And , you're absolutely right . Actually , my exam is in 5 and a half hours . The final that is .

    • @Rafluc2010
      @Rafluc2010 8 років тому +5

      That's high school not university at list in my country

    • @Megasterik
      @Megasterik 8 років тому +6

      +Nick Harris I don't know how much truth is in that but my maths exam is held tomorrow.

  • @patrickjmt
    @patrickjmt  15 років тому +77

    my payment is knowing i have helped someone out there : )

  • @grindstack5765
    @grindstack5765 9 років тому +419

    I LOVE YOU PATRICK! YOU HAVE KEPT ME OFF THE STREETS AND IN SCHOOL!

    • @Newbport849
      @Newbport849 9 років тому +5

      +Shawn Gill How has he contributed to you staying off the streets?

    • @ofentsetshepe
      @ofentsetshepe 9 років тому +18

      +Newbport think it is because he made him love what he is learning

    • @evayn3886
      @evayn3886 9 років тому +39

      +Newbport as in he didn't drop out of school. it's a joke, don't think too much about it :p

    • @aidarouselabe23
      @aidarouselabe23 7 років тому +9

      Newbport lol taking things literally 😂

    • @rajsirrjrjrj2507
      @rajsirrjrjrj2507 7 років тому

      very nice

  • @nicolasfraser3970
    @nicolasfraser3970 10 років тому +124

    I must say: If it wasnt for you, I definetely wouldn't be doing the way I am in university. Thank you very very much man. Keep up the good work.

    • @patrickjmt
      @patrickjmt  10 років тому +41

      spread the word!

    • @mohammedzaman9158
      @mohammedzaman9158 10 років тому

      patrickJMT Yeap! Already have, and I'm still spreading the word! :D

    • @cloroxbleachfraganzia4126
      @cloroxbleachfraganzia4126 7 років тому +9

      +patrickJMT w o r d

    • @abikyoukan2
      @abikyoukan2 7 років тому

      hope you finished it! i'm on my first year and just found these videos. really helpful.

  • @dredbombase624
    @dredbombase624 4 роки тому +7

    I'm currently in the USAF, and planning to start taking college classes. I remember watching you three years ago when I had my calculus assignment in high school. I thought I'd never see your videos ever again, but here I am now, trying to learn once again from the person who taught me on how to survive math in high school. I appreciate you :)

  • @shikori7
    @shikori7 11 років тому +225

    Lets switch brains for a few hours

    • @nabihairna649
      @nabihairna649 5 років тому +5

      Mood

    • @James-le8gd
      @James-le8gd 5 років тому +7

      @@nabihairna649 imagine replying to a five year old comment

    • @monamohapatra
      @monamohapatra 5 років тому +1

      @shikori did you pass your semester 🤣

  • @patrickjmt
    @patrickjmt  16 років тому +6

    thanks! i practice writing them for an hour each day!!

    • @BunnyXF
      @BunnyXF 3 роки тому +1

      Ayithe velli vadiyiii..MG________

  • @savannahmoore3541
    @savannahmoore3541 Місяць тому

    12 years later and you're still here helping me to make sense of everything - thank you!

  • @mnmz2g2
    @mnmz2g2 10 років тому +3

    this guy is the best,he explains calculus much better than my professor, and I actually feel like i know what to do after watching his videos

  • @oduetsemasilomangwe2192
    @oduetsemasilomangwe2192 7 років тому

    you make calculus to make sense...you make it sooo simple...i run to your videos each time. thanx patrick

  • @johncarlobautista4136
    @johncarlobautista4136 9 років тому +36

    classmate: where did you learn that?
    me: PATRICKJMT bitches! :D hahaha

  • @usmanchughtai1751
    @usmanchughtai1751 3 роки тому

    Hey Pat, just want to say I am 26 now and revisiting these videos for fun. I used to watch them all the time during my high school and college days and they were such massive help. Thank you

    • @patrickjmt
      @patrickjmt  3 роки тому +1

      thanks! glad they helped you out a bit :)

  • @saeedsnne
    @saeedsnne 7 років тому +29

    Got my Masters degree in Mechanical Engineering. Got through my first and second year Engineering maths watching your videos.

  • @valfurion
    @valfurion 12 років тому +1

    Dude, you're amazing.
    The lessons are incredibly lucid, approachable, and easy to understand. You were born to do this.

  • @patrickjmt
    @patrickjmt  12 років тому +4

    awesome, good luck in your class :)

  • @kanokponkruasarn4901
    @kanokponkruasarn4901 7 років тому

    I could understand your video 2 times better than 2 hours I have spent in Math class , great video Patrick. Thank you

  • @StaticSleet
    @StaticSleet 10 років тому +48

    I know why you love tutoring so much. Dem sharpie fumes.

  • @brendabeltran2916
    @brendabeltran2916 6 років тому +1

    I always watch your videos whenever I miss class or I simply did not understand my professor. I highly recommend you to all my classmates. You make it so much easier.
    Thanks a lot (:

  • @phuc12345678
    @phuc12345678 11 років тому +4

    i wish my math teachers taught us the way you did for trig identities instead of just throwing tan^2x + 1 = sec^2x but once you showed me what was actually going on it made more sense and easier to remember lol

  • @luisgabrielmillares1023
    @luisgabrielmillares1023 5 років тому

    I am watching your tutorials since i was Junior High School and now i'm a 1st year engineering student i am still here lol you deserve a millions of subscribers Pat! Thank you!

  • @cloerenjackson3699
    @cloerenjackson3699 9 років тому +7

    This is better than Khan academy.
    One problem is, it's better for the bits I'm up to speed with for test and revision. At 5:51 where it talk of trig identities, and subs in the 1 tan squared theta, I don't follow how that happened. A little more explanation would be nice!

    • @superkrystal98
      @superkrystal98 9 років тому

      He factored out the sin from the numerator

    • @cloerenjackson3699
      @cloerenjackson3699 9 років тому

      How?

    • @hinaruu5952
      @hinaruu5952 8 років тому

      +Cloeren Jackson just look for the trigonometic identities in google.. to understand brotha

  • @SmittyKat
    @SmittyKat 6 років тому

    I love your channel because you give so many examples. Sometimes other channels explain the concepts a little better but your channel is where I go to learn how to do the real gruntwork, and to learn how to actually do the problems on my homework. Ty for this great channel, you have helped me so much.

  • @patrickjmt
    @patrickjmt  14 років тому +5

    @TheEirica glad the class turned out well : )

  • @emilieminh
    @emilieminh 14 років тому

    Wish I found your videos sooner! Can't thank you enough for how much these videos are helping me for my next test... for which I have 2 days to learn a whole unit on integration. I've had so many epiphanies while watching your vids, thinking "so that's wth the prof was talking about..." You've taught me more in a few hours than my prof has after weeks. Thanks again, you're a lifesaver!!!

  • @treasure674
    @treasure674 8 років тому +7

    The annotation for rating the video 5 stars at the end was a throwback to old YT haha

  • @Darkenedbyshadows
    @Darkenedbyshadows 10 років тому +2

    Your videos helped a lot with maths last year. On monday, i start Integrals and so excited but have a feeling i will be watching your videos when i should be sleeping :D Greetings from Finland!

  • @alihendrix6351
    @alihendrix6351 9 років тому +4

    Patrick is better than everybody.

  • @Anna-vj9ks
    @Anna-vj9ks 4 роки тому +1

    Doing a review from calc 1 for my first assignment in calc 2. Learned integration during quarentine, and although I had a good teacher everything was crazy during that, so this helps soooooo much!

    • @patrickjmt
      @patrickjmt  4 роки тому

      glad that it helped you out :)

  • @minaalber2028
    @minaalber2028 8 років тому +4

    You are the god of mathematics

  • @Joshuadaniel-d8h
    @Joshuadaniel-d8h 9 років тому +1

    You are officially my MASTER in CALCULUS

  • @Jono.
    @Jono. 8 років тому +5

    This video just reminded me of the dark ages of youtube when star ratings were still a thing. Thanks for everything, Patrick.

  • @alecworwa1955
    @alecworwa1955 10 років тому +2

    Thank you so much. Learned more in 10 minutes than i did after a 60 minute lecture.

  • @BlueBunnyGamer
    @BlueBunnyGamer 10 років тому +26

    Thank you! My teacher just put a bunch of numbers on the board and solved it without explaining anything so I was lost xD

    • @RhemaBassey
      @RhemaBassey 9 років тому +1

      BlueBunnyGamer lol

    • @parthibhayat
      @parthibhayat 6 років тому +1

      xD or Dx
      It's a joke but not a good one

  • @semperfidelis2322
    @semperfidelis2322 11 років тому

    you have taught me calculus, i have taken 2 calc exams, and have barely gone to lecture. I got a 92 and a 95 on the exams because of what you have taught me. Thank you patrickJMT!

  • @suleb1
    @suleb1 8 років тому +126

    Hello other end of year crammers!

  • @daxmiguel5469
    @daxmiguel5469 7 років тому +1

    Found your channel too late in March while cramming for finals. Had to retake my Integral Calculus. You're awesome! Thanks.

  • @lauralecaca1
    @lauralecaca1 8 років тому +37

    you saved my life.

  • @jenncook1
    @jenncook1 14 років тому

    Your videos are great! I got an A in my 4 week summer calculus class by watching your videos, they are so helpful and really clarify the material that my professor can't. Thanks so much!

  • @patrickjmt
    @patrickjmt  16 років тому +4

    the extent of my art ability!

  • @kkevinparkk
    @kkevinparkk 8 років тому

    Watched this video back in high school. Needed a quick review of integrals for my classes at UCLA so I click on Patrick JMT... never disappoint

    • @patrickjmt
      @patrickjmt  8 років тому

      glad i can still help out :)

  • @johnsenramirez2115
    @johnsenramirez2115 10 років тому +4

    Thank you a lot sir this little video can help me lot on my exam today..

  • @ahmedats1090
    @ahmedats1090 8 років тому

    never seen any good way to explain calc you are really good and your way of explaining stuff is very good so easy to get through the mind keep the work up best math channel

  • @saifuddineibak6587
    @saifuddineibak6587 5 років тому +1

    Patrick you deserve Nobel price and ballon dor together😂😂

  • @newzadmohamed717
    @newzadmohamed717 11 років тому +3

    you are great and good at explaining

    • @novemberwhiskey9491
      @novemberwhiskey9491 11 років тому +2

      yea he is..patrick is my go-to guide for any calculus videos

    • @newzadmohamed717
      @newzadmohamed717 11 років тому

      I find his videos really easy to understand

  • @iny0ureyes
    @iny0ureyes 15 років тому

    thank you for making these videos!, my calculus teacher is a mean mean old man and he just makes everything 100X more complicated and doesnt show us step by step. your videos really reallly help & i figured out how to execute newtons method in 10 minutes yay! lol. as well as integrals. he gives us the weirdest hardest problems, sad part is, hes writting the final as well as the in class exams.

  • @BolaniBottle
    @BolaniBottle 10 років тому +36

    EVEN PATRICK MAKES MISTAKES! 1:01 he forgot dx :D hahah otherwise ur a genius!

    • @christinelacson6
      @christinelacson6 10 років тому +6

      I saw it too!!! But he's awesome so let's forgive him. Patrick's a human tho

    • @MY-iw5dj
      @MY-iw5dj 7 років тому +3

      I was so confused by that, thank you so much for this comment

    • @ahmadhafiz2245
      @ahmadhafiz2245 4 роки тому

      THANK YOU. I WAS SO LOST UNTIL I READ YOUR COMMENT

  • @patrickjmt
    @patrickjmt  14 років тому +1

    @emilieminh no problem, happy to help!

  • @PaisaInATL
    @PaisaInATL 11 років тому +4

    i dont get how u factored a sin of theta... i know thats not really calc but im confused. u factored a sin of theta and the other sin of theta.. help please

  • @QueroBolachas
    @QueroBolachas 12 років тому

    Thank you for all the patience and effort put in this videos. A saviour of lives.

  • @kaimietis52
    @kaimietis52 8 років тому +29

    Isn't that "anti-derivative" called integral?

    • @dawood.jarral
      @dawood.jarral 8 років тому +1

      integration*

    • @kaimietis52
      @kaimietis52 8 років тому +15

      Integration is the process. Integral is the outcome.

    • @kennethmontajes2217
      @kennethmontajes2217 8 років тому +3

      It's the fundamental theorem of calculus. Antiderivatives are connected with definite integrals. That is why when we evaluate indefinite or definite integrals, we dispense the terminology of using "antiderivative".

    • @nawedex8150
      @nawedex8150 6 років тому

      @Lebanese Crusader No

    • @dylansingh3385
      @dylansingh3385 5 років тому

      Nader Nassrallah maybe so

  • @ultimatecockerdood
    @ultimatecockerdood 10 років тому +1

    Dude you rock! You really help me remember that calculus is easy.

  • @justthegirl9799
    @justthegirl9799 8 років тому +4

    thanks for the video really helpful.. but the fact that youre left handed :D i had to be patient for u to remove your hand

  • @terrentiamagagula
    @terrentiamagagula 8 років тому

    Got a tutorial test tomorrow and i knew nothing about integrating.. thanx to this video, im ready!

  • @AdrianNg23
    @AdrianNg23 10 років тому +16

    Thanks Patrick, btw do u mind telling us what career r u pursuing right now?

    • @LJR1331
      @LJR1331 10 років тому +4

      He is a math professor.

    • @patrickjmt
      @patrickjmt  10 років тому +85

      LJR1331 no i am not

    • @camsac
      @camsac 10 років тому +31

      As opposed to being a traditional school teacher, it looks like he is making a sizeable income through his youtube partnership and online tutoring business. It looks though at this point, he's teaching simply because he wants to, which is a reason why his teaching is so great and easy to learn from, also not being bound by the school books. I'm quite envious really. Keep doing your thing professor!

    • @JoseRodriguez-tx1qz
      @JoseRodriguez-tx1qz 7 років тому +6

      He's an Engineer :v

    • @yomomomama3964
      @yomomomama3964 6 років тому +3

      investment banking MD

  • @steffiwithtwofs
    @steffiwithtwofs 11 років тому

    you are a better teacher than my math teacher. Thank you, you helped a lot.

  • @Alalpog
    @Alalpog 9 років тому +5

    If i were somehow to become a pope, I'll make you a saint.
    A million thanks.

  • @Top10Bottom10
    @Top10Bottom10 11 років тому

    I've been watching a few of your videos, and they're fantastic. You explain in a clear and concise way, and keep your videos at an appropriate length (where I'm not bored, but at the same time I'm still learning quite a bit). I'll definitely use these videos for Calc II.

  • @tiarasukdeo7306
    @tiarasukdeo7306 8 років тому +3

    Markiplier we love you as you are :D No need to change

  • @israelngoy4199
    @israelngoy4199 7 років тому

    I'm a French student, and thank to u integration problems became easy for me. thank u Patrick

  • @MrJason005
    @MrJason005 8 років тому +3

    stars existed in 2012? odd

  • @patrickjmt
    @patrickjmt  14 років тому

    @josuanette congrats on the A. patrickjmt is always just hanging around youtube, waiting for someone to pay attention to him (ie, listen to his boring math talks!!). good luck in the class

  • @johannationgzon4580
    @johannationgzon4580 9 років тому +6

    Thanks :D :D

    • @patrickjmt
      @patrickjmt  9 років тому +4

      My pleasure!

    • @abdullahiahmedmohamed3925
      @abdullahiahmedmohamed3925 9 років тому +1

      +patrickJMT sir you're saying our derivative is this this.
      r u explaining integration or derivative

    • @omerraza5904
      @omerraza5904 9 років тому

      +patrickJMT how to find the absolute extrema of he given function on the indicated closed and bounded region.........like f(x,y)= xy-x-3y is triangular region with vertices (0,0),(0,4),(5,0)

    • @nithesh007nithesh2
      @nithesh007nithesh2 6 років тому

      Johanna Tiongzon u fucker

  • @The511812
    @The511812 11 років тому +1

    Best math teacher on UA-cam

  • @panacornx
    @panacornx 9 років тому +149

    I love you daddy

  • @akhonandubela9491
    @akhonandubela9491 10 років тому +1

    you just made my maths2 much easy thanks man, much respect

  • @davidontiveroz8295
    @davidontiveroz8295 11 років тому +4

    PATRICK rapes the competition when it comes to math!!!!!

  • @KazeChannelKC
    @KazeChannelKC 10 років тому

    4. A bag contains 5 red balls, 3 black balls, and 2 green balls. Whenever a red ball is drawn, it is replaced in the bag and an extra red ball is added to the bag. Whenever a black ball is drawn, it is not replaced and no extra balls are added. Whenever a green ball is drawn, it is replaced in the bag, and a red ball is removed from the bag. 2 balls are drawn, one after another.
    a. ​Find the probability that at least one of the balls drawn is red.
    b. ​Given that at least one of the balls drawn is red, find the probability that both balls drawn are
    ​red.
    Patrick can u pls solve this, its for my exam, thx.

  • @NJRFilms1
    @NJRFilms1 10 років тому +2

    It's 1:26 AM, I have a math test this morning. Screwed around all semester. Help me Patrick, you're my only hope

    • @Cuti3PandaX
      @Cuti3PandaX 10 років тому

      how was it?

    • @NJRFilms1
      @NJRFilms1 10 років тому

      I studied for the wrong chapter. We were studying differentials, not integrals.

    • @Cuti3PandaX
      @Cuti3PandaX 10 років тому

      ohh wow, so you did bad? my math final is tomorrow and i barely know integrals or optimization or related rates...im so screwed

    • @FireVortex720
      @FireVortex720 10 років тому

      Congratulations.

  • @daniyafathima7130
    @daniyafathima7130 9 років тому

    thanx man patrick.. helped me a lot....explanation 5 stars and hand writing...most understandin one...keep going and thanx again

  • @elliegozo9269
    @elliegozo9269 10 років тому +2

    I'm currently on my second year in Civil Engineering and oddly, I'm dealing with both Differential and Integral Calculus on both semesters and ever since I found out about your video of derivatives months ago, you've helped a lot in letting us - not just me but a handful of my friends as well who took up the same math classes as I did and recommended links to your videos - understand the foundations of calculus. After having my first lesson in anti-derivatives this morning, I immediately went on UA-cam to check your videos out about integration to further delve into the subject. I'm learning a lot thanks to you!

  • @patrickjmt
    @patrickjmt  16 років тому +2

    yep, good algebra skills along with about 3 days worth of trig knowledge = success in calculus

  • @Nobody7050
    @Nobody7050 10 років тому

    You're a life saver. Better than my own professors!

  • @edwardpatterson2702
    @edwardpatterson2702 5 років тому

    I like the fact that you included a wide variety of easy to solve integrals.

  • @minorabladeofficial4071
    @minorabladeofficial4071 7 років тому

    I see this video has almost 1.3 million views. Which means that Integration is really much of a problem and I wasn't crazy after all..
    Thank you Patrick..!!💪💪

  • @Ms93Sash
    @Ms93Sash 11 років тому

    The most wonderful part about your videos is that you are left-handed. Thank you for that. :)

  • @pradrai6553
    @pradrai6553 11 років тому

    I don't usually subscribe... But I must show my gratitude!
    Thanks so much for all your help :) Will be just watching your vids for the whole week!

  • @999davidstevens
    @999davidstevens 10 років тому +1

    Patrick: I just would like to let you know that without your videos, I would have dropped my calculus class. "seriously"
    million thanks. You Rock Sir!!!

  • @DiegoLopez-eo7xn
    @DiegoLopez-eo7xn 10 років тому

    Really good your videos, I think they were basic examples with great explanation to solve different type of problems. Thanks a lot none of my friends knew Integrals. Hope it helps me when I finish school.

  • @jonathanalcanzarin1710
    @jonathanalcanzarin1710 12 років тому

    I passed my Differential Calculus last semester :) thanks to your videos sir Patrick. I am now at Integral Calculus . All of your videos are extremely helpful specially in an Engineering student like me :)

  • @karld1571
    @karld1571 9 років тому

    This man is more helpful than my actual calc teacher...

  • @jellyfish928
    @jellyfish928 8 років тому

    Thanks man. I missed my lecture bc I was studying for another exam (story of my life) and this quick video pretty much caught me up. Great vid! and nice advice tagged on at the end

  • @matiassantacruz5487
    @matiassantacruz5487 5 років тому +2

    You, my man, are saving lives right here!

  • @elmomagyawe7047
    @elmomagyawe7047 8 років тому

    YOU SAVED MY LIFE! THANK YOU SO MUCH. I'M BARELY BREATHING.

  • @LegoLadyDay
    @LegoLadyDay 9 років тому

    I have a huge test tomorrow that could really save my grade after watching this video! Thank you :)

  • @irfahkalamazad2616
    @irfahkalamazad2616 11 років тому

    Patrick JMT - the beast when it comes to Math!!

  • @amypop7711
    @amypop7711 7 років тому

    Mr.Patrick your the best math teacher

  • @RogueFox68
    @RogueFox68 15 років тому

    Can't thank you enough for putting these up man; they help so much.

  • @jeanforthewin
    @jeanforthewin 15 років тому

    once again, i love you :)
    there was a point in the video where i thought you had done something wrong, but it turns out it was me being stupid. i will never doubt you again

  • @Sundoren
    @Sundoren 11 років тому

    youre the best teacher ıve ever seen in my entire life thank you soo much ı passed the exam and ı owe it to you really.. limits to triple integration ı understand all really youre amazning. I wish you have a very very good life... sorry for bad english :)

  • @mjtheman23
    @mjtheman23 12 років тому

    You my friend, just earned yourself a subscription. Usually I'm good at math, but ap calc is giving me some problems this year haha

  • @NADIA-wn8ms
    @NADIA-wn8ms 6 років тому

    i almost gave up on math.... but i am back on track.....thank you so much !!this helped !

  • @Leftism01
    @Leftism01 14 років тому

    Mate, you are the best out there by a mile.

  • @shakilahjoslynjackson97
    @shakilahjoslynjackson97 8 років тому +1

    So I learned more in this video than what my professor taught for the last 2 months

  • @maiacamille96
    @maiacamille96 11 років тому

    You are a GODSEND!!! Calculus is sooooo hard and I'm consistently left behind. I hope that will start to change! 👍

  • @meganhaynes09
    @meganhaynes09 10 років тому

    I am taking calculus online this semester! So no teacher interaction. I am so thankful for your videos! I will be donating to your webpage!!