A derivative & integral review you need before you start Calculus 2

Поділитися
Вставка
  • Опубліковано 23 гру 2024

КОМЕНТАРІ • 59

  • @elementalhero21
    @elementalhero21 3 роки тому +44

    Love your Calculus only channel. Thank you for your endless effort on making Maths accesible to everyone. Wish a lot of videos were available back in my day as students, hahaha.

  • @bigfool8819
    @bigfool8819 3 роки тому +49

    Didn't know you were a collage teacher before, your students must be happy to be taught by you

  • @RainMoneyProductions
    @RainMoneyProductions Рік тому +1

    instructors like you deserve a nobel peace prize. Its a new era of information sharing that you are providing for free. Thank you

  • @janosmarton7895
    @janosmarton7895 Рік тому +6

    Your enthusiasm is contagious. I started understanding and enjoying Calculus with your videos. Thank you for your contribution to our society!

  • @Willowdog08
    @Willowdog08 2 роки тому +5

    I haven’t done calculus for 15 years. This is just what I needed!

  • @nicjvr2297
    @nicjvr2297 2 роки тому +2

    I've been watching you for about a year now and you're such an inspiration. I love math and you introduce many interesting concepts in an engaging way.

  • @RainMoneyProductions
    @RainMoneyProductions 10 місяців тому +2

    Honest to god, you deserve a Nobel prize for your contribution to the millions you continue to help around the world

  • @kylec3193
    @kylec3193 Рік тому +2

    Heading into calculus 3 with differential functions and needed a review on integration and trig functions. Wonderful video, well explained and really helped me remember and review the content of calculus 1 I took in highschool. Thank you so much, this deserves much more recognition!

  • @violintegral
    @violintegral 3 роки тому +3

    I love it when textbooks have questions that hint towards an idea that hasnt actually been taught yet, like in your d/dx(xarctanx-1/2ln(1+x²)) question.

  • @harrisonwilliams7766
    @harrisonwilliams7766 2 роки тому +4

    I'm jumping into calc 2 after 6 years since I took calc 1 so this review is very helpful! Thanks!

    • @KUYAJRIP
      @KUYAJRIP Рік тому +1

      in the same position rn hahah

    • @harrisonwilliams7766
      @harrisonwilliams7766 Рік тому +2

      Goodluck! I was surprised how far some studying could go. Now I'm in ODE and teaching myself abrstract alg

    • @KUYAJRIP
      @KUYAJRIP Рік тому +1

      @@harrisonwilliams7766 that’s awesome man, how often did you study for cal 2?

    • @harrisonwilliams7766
      @harrisonwilliams7766 Рік тому +1

      The first month or so I was studying about 3 hours a day just for calc 2. I would recommend about that much because calc 2 is the most dense with material

  • @brianyanes4629
    @brianyanes4629 3 роки тому +4

    Thank you for this video! Going into Calc 2 this Fall

  • @iHeyKotaro
    @iHeyKotaro 2 місяці тому

    I was in my way to search about calculus when your channel was in my face,its the best coincidence in my whole life💙

  • @violintegral
    @violintegral 3 роки тому +2

    By the way, there are other ways to integrate 1/√(e^x-1) on question 8. You can also multiply by e^(x/2)/e^(x/2) and substitute u=e^(x/2), giving an arcsec form antiderivative, or you can multiply by e^(-x/2)/e^(-x/2), giving an arcsin form antiderivative. Combined with bprp's solution, this gives you 3 valid antiderivatives, all differing at most by a constant and all using a different inverse trig function. This means that 2arctan(√(e^x-1)) + C = 2arcsec(e^(x/2)) + C = -2arcsin(e^(-x/2)) + C. You can show that 2arctan(√(e^x-1)) = 2arcsec(e^(x/2)) = π - 2arcsin(e^(-x/2)) by using trigonometry.

  • @FaiGal
    @FaiGal Рік тому

    Really needed this review after starting my Ordinary Differential Equations course. Thank you!

  • @akshatgupta1671
    @akshatgupta1671 3 роки тому +1

    Found this link on instagram.... I am so happy :')
    Thank you so much. In my country... calculus starts in two years for me.... But I love it so much and couldn't find any proper tutorials on UA-cam..... I watch your main channel also
    Thank you for this

  • @newrock7289
    @newrock7289 2 роки тому +2

    It's always pleasant listening to your lectures.

  • @yashkrishnatery9082
    @yashkrishnatery9082 3 роки тому +4

    I'm proud to be 225th subscriber of a "going to be million" subs family

  • @piluko8996
    @piluko8996 3 роки тому +2

    Seeing ur amazing vids from Ecuador bro, hope ur content help me for my mechanical engineer carrer :)

  • @JEM871
    @JEM871 3 роки тому +3

    Needed this! Great review questions! Thanks

  • @superfluous7964
    @superfluous7964 2 роки тому +2

    Ty so much, I need the practice. I let my math skills degrade so badly. It'll take a lot of work to build them back up but it is going to be fun!

  • @hypersonic6649
    @hypersonic6649 11 місяців тому +1

    Thank you for making math enjoyable and not intimidating

  • @anshumanagrawal346
    @anshumanagrawal346 3 роки тому +2

    Thank you so much for making this video, now I can share it with my friends and be cool😎

  • @violintegral
    @violintegral 3 роки тому +1

    I don't think I've ever forgotten +C on a homework assignment or test in Calculus 2 and I plan not to!

  • @shoyu3
    @shoyu3 3 роки тому +1

    Thank you so much! Please do a Calculus 2 Review as well!

    • @bprpcalculusbasics
      @bprpcalculusbasics  3 роки тому +1

      I have that already: ua-cam.com/video/Kwyk_mteyNc/v-deo.html

  • @GPLB
    @GPLB Рік тому

    Love how question 2 is a subtle antiderivative problem

  • @chitrakrakshit807
    @chitrakrakshit807 3 роки тому

    I love this video... May the people have a video on DIFFERENTIAL EQUATIONS?

  • @YorangeJuice
    @YorangeJuice 3 роки тому +3

    INTEGRAL BATTLES!!! GO!!!

  • @hrayz
    @hrayz 2 роки тому +1

    I took Calc1 30 years ago. I can still do most of this in my head, but this recap was awesome. (My weak spot is just the memorized ones, like derivative of sin(x). My strong suit is procedure and the underlying algebra.)

  • @mohamedalabdulkader5357
    @mohamedalabdulkader5357 2 роки тому

    WOW du bist aber der beste hier auf UA-cam liebe grüße aus Berlin

  • @spudhead169
    @spudhead169 2 роки тому

    Always good to grind these, keeps you sharp.

  • @thatpreston
    @thatpreston 4 місяці тому

    it's been like a year since I took calculus 1, and I feel like I've forgotten everything going into calc 2. I am terrified

  • @mauroesoto5512
    @mauroesoto5512 3 роки тому

    This is GOLD.

  • @bfwrd
    @bfwrd 2 роки тому

    On question 4, is it better to leave it in that form or to factor further, i.e. factor out the -2x from the numerator and divide?

  • @tcp8674
    @tcp8674 3 роки тому +1

    How many channeles you have ? 😅

  • @khaledhasan9438
    @khaledhasan9438 3 роки тому

    Love from Bangladesh 🇧🇩❤️

  • @strefury6873
    @strefury6873 3 роки тому +1

    The "don't forget your plus c" in 1st integration question just made me think wht your scary side might be.

  • @janosmarton7895
    @janosmarton7895 Рік тому +1

    58:32 haha, love this breaks

  • @carloseduardomarquesdossan3928
    @carloseduardomarquesdossan3928 3 роки тому

    thanks, very good

  • @petereziagor4604
    @petereziagor4604 3 роки тому

    Thanks

  • @omkarmore4488
    @omkarmore4488 3 роки тому

    Thanks sir

  • @programmer5467
    @programmer5467 3 роки тому

    Finally finished.

  • @az0rs
    @az0rs 3 роки тому +1

    I’m taking this next year 🤣

  • @shravanbalaji3490
    @shravanbalaji3490 3 роки тому

    i was the 6^3 like

  • @vinceesperanza250
    @vinceesperanza250 3 роки тому

    Dang.. i miss my calc 2 integral class. (1.25 btw)

  • @ghijklabcdef
    @ghijklabcdef 3 роки тому

    Hi

  • @AB_K96
    @AB_K96 3 роки тому

    Q2

  • @nfcradio4622
    @nfcradio4622 Рік тому

    why not you put your mike as black and red color ? Haaaaa.....

  • @Will-Ch
    @Will-Ch 4 місяці тому

    more exercises please