Calculus 2 In Less Than 20 Minutes (Complete Overview Of Integral Calculus)

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  • Опубліковано 28 лип 2024
  • So you're gonna be taking Calculus 2 huh? Well in this video, I'm going to be giving you a complete overview of what you are going to be learning in LESS THAN 20 MINUTES.
    Calculus 2 is considered to be a tough course by many, so it definitely will be good to get a complete overview of calculus 2 and see exactly what you are going to be learning.
    The calculus 2 course, and 100 question video are not out yet, but once they are I will be sure to include the links.
    If you NEED the course or the final review video out ASAP, be sure to let me know! I'll hopefully have both out by the end of October.
    Be Sure To Support Me On Patreon!
    Patreon Link: / ludus1

КОМЕНТАРІ • 158

  • @CHRISTIANZEGARRA2018
    @CHRISTIANZEGARRA2018 5 років тому +276

    I have a good feeling this video will have a lot of views in the future.

  • @artificialjava
    @artificialjava 4 роки тому +311

    I should get a diploma from UA-cam considering this is where i'm getting my degree from in reality lmao

    • @LudusYT
      @LudusYT  4 роки тому +12

      Jillian Anderson - Sameeee lol. It just sucks taking 3rd year classes because there isn’t nearly as much content.

    • @smaiiz1449
      @smaiiz1449 4 роки тому +5

      prolly the funniest yet realest youtube comment ive seen on a math video

    • @oceanarmstrong2955
      @oceanarmstrong2955 3 роки тому +1

      Yeah, I'm not even trying to learn in class because I can find a video that half as long and 20x less confusing lol XD

    • @erniexb2760
      @erniexb2760 3 роки тому

      Imagine now in 2020

    • @Adam-yu5zj
      @Adam-yu5zj 3 роки тому

      Wait! You are learning this at University in America??? I learnt this at 16 in the UK. The system is odd.

  • @Dr.Pepper001
    @Dr.Pepper001 3 роки тому +137

    In college I minored in math. I took every level they offered in algebra, trigonometry, calculus, and differential equations and made straight A's. I graduated in 1973 from Florida State University. Now I'm 74 and all the math I learned, except for the basics of algebra, has leaked out of my brain. It's true that if you don't use it, you lose it.

    • @rowan1043
      @rowan1043 2 роки тому +4

      But the interest remains, and all you have to do at this point is start the engine and drive.

    • @paytonogallagher3284
      @paytonogallagher3284 2 роки тому +22

      @@rowan1043 Lies. I'm still in college, taking calc 2, and I've already forgotten how to do calc 1 problems. I could give no help to my roommate when he had issues with his calc 1 HW.

    • @undefinedvortex4996
      @undefinedvortex4996 2 роки тому +5

      @@paytonogallagher3284 fr, took ap calc ab, took the exam, scored a 3. Decided to take calc 1 again in college to be safe and forgot what quotient rule was

    • @roblox21242
      @roblox21242 Рік тому +1

      @@paytonogallagher3284 i agree with you, my memory went blank during finals so i flunked by final but it was only 10% im still getting a B+ no idea what happened but i forgot everything

    • @physicsboi1744
      @physicsboi1744 Рік тому +1

      @@paytonogallagher3284 dawg if you're doing calc 2 and somehow you forgot calc 1 thats on u fam. Its like saying I'm doing geometry but forgot algebra

  • @SamFriedman
    @SamFriedman 3 роки тому +95

    POV: your Calc exam is in 19:34 minutes

    • @LudusYT
      @LudusYT  3 роки тому +4

      Lol good luck!!!

    • @sana1279
      @sana1279 3 роки тому +6

      10 mins cuz u gotta watch it in double speed

    • @benz4118
      @benz4118 3 роки тому +1

      Mines on Tuesday lol

  • @ahmadm7618
    @ahmadm7618 3 роки тому +5

    Thanks man. I loved math too much so i studied it alone in pandemic. And i was wondering how can i keep improving. Finally i found this after searching alot about calculus videos

  • @trickytricks5119
    @trickytricks5119 3 роки тому +3

    GREAT video, good job bro - keep up the good work 🙌

  • @JamesBrodski
    @JamesBrodski 3 роки тому +3

    Thank you so much! This is very helpful to prepare myself.

  • @spamaccount1513
    @spamaccount1513 Рік тому +1

    I took calc an and bc in high school, and I’m now taking applied calc 2 but it’s like all review. I want to learn something but don’t know where to look, your channel is a great resource

  • @notomatoesx
    @notomatoesx 5 років тому +64

    your playlist on sequences and series were spectacular, short, concise and to the point practically leaving no gaps in the explanation.
    Looking forward to using your calculus 3 videos and hopefully if you come out with it, the physics 2 videos.

    • @LudusYT
      @LudusYT  5 років тому +10

      notomatoesx - Thanks!! I’m so glad that I was able to help. I’ll at least have a physics 2 final review up by the end of summer, but I’m also planning on doing other physics 2 videos as well as a vector calculus series.
      If you have suggestions for videos in those subjects, definitely let me know!
      Also, since I assume you’re still in calc 2 right now, you’ll definitely want to see my calc 2 final review video! I’ll try to make another one with my new setup (it just looks nicer), but we’ll see!

  • @bebebewin
    @bebebewin 5 років тому +18

    Thanks for making this, its pretty interesting to see what I'll be learning next year

    • @LudusYT
      @LudusYT  5 років тому +1

      Milen Patel - I’m glad it could help!

  • @shortie1386
    @shortie1386 3 роки тому +69

    my final is in less than an hour and i have no idea what we’ve done the whole semester 🙃

  • @hawadrammeh8870
    @hawadrammeh8870 3 роки тому +1

    This was great, thank you so much!

  • @PedroTechnologies
    @PedroTechnologies 3 роки тому +27

    Yo, final exam in 4 hours. Need a 34 to pass and a 60 to get accepted to my math degree. I'll come back and tell you guys what happened.

    • @amthegoat7067
      @amthegoat7067 3 роки тому +2

      im guessing you failed

    • @PedroTechnologies
      @PedroTechnologies 3 роки тому +54

      @@amthegoat7067 got enough to get accepted hahaha just forgot to come back

    • @wilsonchen5346
      @wilsonchen5346 3 роки тому +10

      Nice job! I need a 64 on my final to barely pass the class. Let’s do this!

    • @KeeksRL
      @KeeksRL 3 роки тому +2

      @@wilsonchen5346 did you pass

    • @gamergary2148
      @gamergary2148 Рік тому

      @@KeeksRL he did not.😊

  • @RockingMarcos2013
    @RockingMarcos2013 5 років тому +17

    Great video man. A suggestion: tell what utility or application the different concepts have.

    • @LudusYT
      @LudusYT  5 років тому +6

      Marcos Tejerina - I’m glad I could help, and thanks for the suggestion! I wanted to try to fit it all in 20 minutes, but watching it back, I really regret not going into depth on each topic.
      I want to do a much longer overview video this summer that will actually do the things that you are saying. I just have to finish up these final review videos.
      Hoping I’ll get to 1k subs by May lol.

  • @fernandobermudez2062
    @fernandobermudez2062 4 роки тому +5

    Polar coordinates are from physics, I’m taking physics 1 for scientists & engineers and the first thing we saw were vectors and they’re components were polar coordinates

  • @whatthefleeb
    @whatthefleeb 3 роки тому +13

    I've always been shit at Math (advanced Algebra specifically), and I failed calc 1 twice, as I always knew the Calculus steps to solve the problem, but my algebra was bad. I at least got partial credit for showing that I knew the steps to solve the problem, in Calc 1.
    Eventually, I moved onto Calc 2, and it was a ridiculously new beast. I still understood the Calculus steps I needed to do to solve the problem (could explain in detail why we were doing what we were doing), but even though I would try to "grovel for points" (which my Physics prof taught me), I'd get awarded 0 points, because I did not get the correct answer. I ended up re-taking Calc 2 3x, failing all 3x, and giving up.
    Point being, if you're young and smart enough to be watching this video, make sure that you pay EXTRA attention in Algebra; Algebra is BY FAR the most important aspect of any advanced Math class.
    Edit: As an aside, I think it's bullshit to have Calc 2 as a requirement for stuff even like Geology (which is what I was going for), as even Engineer friends of mine have said they just punch input data into a computer... completely blocks people like me (98% in Cell/Molec Bio, 99 in Zoology, 96 in Botany, A's in both Ochem A and B), who are intelligent, love the Sciences, yet are bad at Math, from doing what they love in life.

    • @Ltkill11
      @Ltkill11 2 роки тому +3

      I agree with your the education system needs to change and change quickly. I too know many engineers who took all these math courses and never even use them in their current career. But for now us stem majors have to take these courses and get through them 😞.good thing It will be worth it in the end once we are done with these math courses.

  • @calebwearscasio
    @calebwearscasio Рік тому

    You did very well! Thank you!

  • @lucielpires705
    @lucielpires705 2 роки тому +1

    Consider the region R delimited by the curve y = C− x^2 and the x axis. Use integration to find the value of C > 0 so that the volume of the solid obtained by rotating R about the x axis is 64√2/15π
    Note: Plane sections known to the x axis are circles. Would you help me?

  • @samisiddiqi5411
    @samisiddiqi5411 3 роки тому +3

    I feel like linking some of your videos to each topic by timestamp would be most beneficial.

  • @princesayala8483
    @princesayala8483 4 роки тому

    this video is great! Thank u!

  • @jakeconnolly960
    @jakeconnolly960 Рік тому

    this is very useful makes me less nervous ab this upcoming semester

  • @ryanbrazeal8901
    @ryanbrazeal8901 4 роки тому

    Appreciate the information

  • @farhanhalil9218
    @farhanhalil9218 5 років тому

    Life savior. Thanks bro.

  • @jmshkm
    @jmshkm 3 роки тому +8

    I finished calc 1 before christmas with a 99.5%. I’m taking calculus 2 next semester and i’m excited for it!

  • @ghostek7792
    @ghostek7792 2 роки тому

    wow this video are so awesome it crazy how much free education online now !!! serious we are so bless to have so many people who care and make education free

  • @jacobstarr9010
    @jacobstarr9010 3 місяці тому

    I actually didn’t think series were that bad. There was a learning curve with them, but once I figured it out, it’s pretty easy. I prefer it over integrals because with integration it is so easy to make a mistake because of all the simplifications you have to do. The problems are longer even if they’re not necessarily harder.

  • @sweetness4j1
    @sweetness4j1 4 роки тому +3

    I think your vidoes are great. I was lost for the longest time until I realized what everyone calls Calc 3 is our Calc 2. So I was using the wrong tutorials

    • @LudusYT
      @LudusYT  4 роки тому

      Lol that’s weird!!! I’m glad you like the videos tho!

  • @nickhatfield1916
    @nickhatfield1916 3 роки тому

    And is calc 3 easier than calc 2? What are the differences between the 2 courses?

  • @xxmemestar69xx82
    @xxmemestar69xx82 3 роки тому

    DO ONE FOR LINEAR ALGEBRA AND CALCULUS 3!!!

  • @lbp_chessguy5640
    @lbp_chessguy5640 4 роки тому +17

    Thank you! My Calc 2 final is today and I think I feel a little better about going into it :)

    • @LudusYT
      @LudusYT  4 роки тому +2

      Glad I could help!

    • @lbp_chessguy5640
      @lbp_chessguy5640 4 роки тому +8

      Edit: I ended up making an 86 and I got an A in the class :D

    • @nandinisengupta9928
      @nandinisengupta9928 2 роки тому

      @@lbp_chessguy5640 great!

    • @alanr4845
      @alanr4845 2 роки тому

      @@lbp_chessguy5640 I hope I get an A in Calc 2

  • @cullenoleary1619
    @cullenoleary1619 4 роки тому +9

    Right now I’m doing far better in calculus 2, than I did in calculus 1. Idk why.

    • @LudusYT
      @LudusYT  4 роки тому +14

      Lol, that was me too. I did the best in calc 2, 2nd best in calc 3, and prolly the worst in calc 1. Probably because I took calc 1 in HS and I was surrounded by people who were bringing me down. I think we all know that feeling from hs though.

    • @cullenoleary1619
      @cullenoleary1619 4 роки тому +2

      @@LudusYT Agreed

  • @leen8175
    @leen8175 2 роки тому

    Great video❤💙

  • @manuelcedillo1305
    @manuelcedillo1305 4 роки тому

    G if of (x) equals =2.
    938-1=7.
    NEUTON F(x)= 1AXIS=#0E.

  • @pureroseangemuse7910
    @pureroseangemuse7910 2 роки тому

    of course its already been very difficult for me as a math major this is hard especially after the integrals

  • @dreameronboard5125
    @dreameronboard5125 3 роки тому

    Thanks man

  • @ryanwalker2432
    @ryanwalker2432 5 років тому +1

    Thanks again :)

    • @LudusYT
      @LudusYT  5 років тому

      Ryan Walker - No problem!

  • @ilikespaghetti2170
    @ilikespaghetti2170 4 роки тому +63

    i think ill fail this lol, i forgot about calculus 1 because of the pandemic

  • @joshuaboyum6574
    @joshuaboyum6574 7 місяців тому

    Oh boy i'm in for it next semester

  • @moyinolowoniyi3108
    @moyinolowoniyi3108 5 років тому +2

    Really good video

    • @LudusYT
      @LudusYT  5 років тому

      Moyin Olowoniyi - Thanks!

  • @dannymartinez2045
    @dannymartinez2045 4 роки тому +18

    im an engineering major; any engineering majors find calc 2 difficult? i managed to get a A- in calc 1

  • @nickhatfield1916
    @nickhatfield1916 3 роки тому

    How important is u substitution in calc 3?

  • @mathsstc9046
    @mathsstc9046 5 років тому +1

    Thanks very much, I guess I have a lot to brush up on. Excellent video though

    • @LudusYT
      @LudusYT  5 років тому

      maths stc - I’m glad you liked it! Are you taking Calculus 2 in the fall? By that time, I will actually be releasing a full in-depth calculus 2 course on my website.
      I’ll go through all of the calculus 1 that you need and cover most if not all of the subjects that you will learn in Calculus 2.
      Let me know if that’s something you’re interested in! You can dm me on Instagram at “learned_tutoring” if you’d like.
      Cheers!

  • @annjievalentino7893
    @annjievalentino7893 3 роки тому +1

    Thanks👍👍👍 alot.

  • @n_1913
    @n_1913 2 роки тому

    I took techniques of integrals and sequence and series in Calculus 1.

    • @LudusYT
      @LudusYT  2 роки тому

      Interesting. I haven't heard of that before. Both of those units are staples of calculus 2 (integral calculus).

  • @gold4963
    @gold4963 3 роки тому +1

    I’m in Calculus I in college, and it’s quite difficult. I’m nowhere near ready for Calculus II; I’m terrified...

  • @rafemorales2681
    @rafemorales2681 Рік тому

    I’m literally going to my calc 2 final rn thinking that I shoulda watched ur seriies lol

  • @girth8613
    @girth8613 11 місяців тому

    I begin Calc II in 6 days. LFG!!

  • @creepyczar6423
    @creepyczar6423 3 роки тому +2

    Haven’t taken calc 1 since high school. Now 2 1/2 years later, let’s get it calc 2!! :0

  • @1966lavc
    @1966lavc 3 роки тому

    Good cheat sheet for Calc 2

  • @rorymackinnon6133
    @rorymackinnon6133 2 роки тому

    so Fantastic

  • @LScout800
    @LScout800 2 роки тому

    Bought to take calc 2 over the summer. Calc 1 professor says it is a bad idea. We shall see

  • @christiannelson5853
    @christiannelson5853 11 місяців тому

    does he have a calculus 2 course???

  • @jesussaquin6266
    @jesussaquin6266 4 роки тому +7

    What was isaac newton thinking

    • @LudusYT
      @LudusYT  4 роки тому

      jesus saquin - lol ikr

    • @kruGrockz
      @kruGrockz 4 роки тому +4

      Not about women.

  • @zentrozzi8245
    @zentrozzi8245 5 років тому

    Video has a hiccup at 1:31, not sure if it's just my phone but it wont load the video anymore at this point

    • @LudusYT
      @LudusYT  5 років тому +1

      Zen Trozzi - I double checked and did not have this problem. I’m sorry to hear that it isn’t loading for you. You could try restarting your phone, and maybe that will help. I have to deal with buffering all the time because I constantly have poor network connection lol.

    • @rosatorres4830
      @rosatorres4830 10 місяців тому

      ​@@LudusYTcan you answe questions if we have any??

  • @bryantye7106
    @bryantye7106 3 роки тому +4

    Lol I’m in high school and I looking at this just makes me not want to go to college

  • @ViktorTheRook
    @ViktorTheRook 4 роки тому +1

    I start calc 2 in a week I cant wait

    • @1kike31
      @1kike31 4 роки тому +2

      Russian Warrior you’ll delete this comment after your first test in calc 2

    • @root-kwt5132
      @root-kwt5132 3 роки тому

      @@1kike31 lol

    • @susanzhu2928
      @susanzhu2928 3 роки тому

      How was it? Any tips for new students?

  • @catfunt3404
    @catfunt3404 Рік тому +1

    This shit was perfect for a quick look over before you really get into studying

    • @LudusYT
      @LudusYT  Рік тому +1

      Hey, thanks!! I’m glad it was helpful for ya!!!

  • @cheatyhotbeef2636
    @cheatyhotbeef2636 3 роки тому +1

    Watching all these videos, not doing any problems to cement these equations, gonna fail :)

  • @WayOfTheDuck
    @WayOfTheDuck 5 років тому +16

    “How can something with infinite terms have a finite value?”
    Isn’t the whole idea of a derivative that you represent something finite value and dividing it up into infinity many terms?

    • @LudusYT
      @LudusYT  5 років тому +9

      I believe you are confusing derivatives with integrals. An integral will add up an infinite number of terms to possibly get a finite value in return. If you are still confused on this, let me know and I can explain it further.
      Continuing with this integral idea. Yes, an integral is very similar to an infinite series; extremely similar in fact. With an infinite series, you are still adding up an infinite number of terms to possibly receive a finite value back. A really intuitive example of how this can happen is with the repeating decimal 0.1111....
      You can represent this as an infinite geometric series 0.1 + 0.01 + 0.01 + 0.001...
      An infinite number of terms adding to be a finite value.
      It’s cool stuff! Let me know if you have any questions. I hope this response helped.

  • @oceanarmstrong2955
    @oceanarmstrong2955 3 роки тому

    I have about 40 minutes until my test, I think I found my last minute study partner lol XD

  • @Danslam27
    @Danslam27 2 роки тому

    Is this highschool calculus 2 or university calculus 2?. Cos for me this is calculus 1.

  • @JDMaxton1999
    @JDMaxton1999 4 роки тому +2

    Would anyone here recommend him over Khan?

    • @LudusYT
      @LudusYT  4 роки тому +1

      I would lol. I didn’t like Khan Academy bc I found it to be really messy and not very relatable. My Calc 2 lectures are from a few years ago, so they aren’t up to the quality that I’m putting out now, but I hope I can help you regardless!

    • @JDMaxton1999
      @JDMaxton1999 4 роки тому +1

      @@LudusYT using your stuff for prep for a calc 3 prereq test. So I think itll be sufficient. Thanks!

    • @LudusYT
      @LudusYT  4 роки тому

      Glad to hear it!

    • @rosatorres4830
      @rosatorres4830 10 місяців тому

      My son just started taking claculus 2 at for his first quarter this year at his school and he is already very lost. I send him this video. I really hope this helps him because the anxiety he gets right before going to this class every time is just overwhelming for him. @LudusYT, would you answer questions my kid has if he has any?

  • @billbobbophen
    @billbobbophen 3 роки тому

    Here from Calc 1 trying to get ahead for college

    • @davida99
      @davida99 3 роки тому +2

      Same lol. Haven't even taken my final cal 1 exam yet. I will be attempting taking cal 2 over the summer soon 😬

    • @billbobbophen
      @billbobbophen 3 роки тому

      @@davida99 we're in this together chief. Good luck

    • @glegle1016
      @glegle1016 3 роки тому

      @@davida99 bruh same

  • @samisiddiqi5411
    @samisiddiqi5411 3 роки тому

    11:52

  • @CosmicBreadBox
    @CosmicBreadBox 2 роки тому +1

    I’ve taken this class 2 times and failed. I have to pass on the third try or I can’t take it again.

    • @LudusYT
      @LudusYT  2 роки тому +1

      You've got this homie.

  • @tanhtay6512
    @tanhtay6512 3 роки тому +3

    speed this video by 2x & it becomes less than 10 mins :)

  • @classicleslie6914
    @classicleslie6914 2 роки тому

    AAWW HECK NAW!!! 😭

  • @branm5459
    @branm5459 3 роки тому +6

    Such a slog to go through my calc 2 class. I’m watching fucking UA-cam videos for my lectures for an async class.
    Praise the “American Dream”, these colleges are starting to feel like bloated corpses of what once was great

  • @ayanaxhye
    @ayanaxhye 2 роки тому

    🤯

  • @sexyqueen4481
    @sexyqueen4481 3 роки тому +1

    hey is this EVERYTHING in calculus 2? 😁

  • @assassin3469
    @assassin3469 2 роки тому

    😩😩😩😩😩😩😩😩💔💔💔💔💔💔💔💔💔💔💔💔💔💔💔💔💔 PPAAAAAIIIIINNNNNN

  • @thisuseristired
    @thisuseristired Рік тому

    here before the semester will start in 30 minutes ha ha