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

[@CHRISTIANZEGARRA2018]

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

[@LudusYT]

Hoepfully!

[@kaavinmuralikrishnan67]

You knew about the pandemic a year ago?

[@wachowski9525]

@@kaavinmuralikrishnan67 I am very scared now, we need answers CHRISTIAN

[@faisalalmusleh]

aged like milk

[@retro_jonny]

Yep bouta take calc II in two weeks

[@artificialjava]

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

[@LudusYT]

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

[@smaiiz1449]

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

[@oceanarmstrong2955]

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]

Imagine now in 2020

[@Adam-yu5zj]

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

[@Dr.Pepper001]

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]

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

[@paytonogallagher3284]

@@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]

@@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]

@@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]

@@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

[@notomatoesx]

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]

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!

[@SamFriedman]

POV: your Calc exam is in 19:34 minutes

[@LudusYT]

Lol good luck!!!

[@sana1279]

10 mins cuz u gotta watch it in double speed

[@benz4118]

Mines on Tuesday lol

[@whatthefleeb]

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]

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.

[@fernandobermudez2062]

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

[@jmshkm]

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

[@yasmin90s]

HOW

[@kienduong594]

hu at

[@mxkhxi]

and he was never heard from again 💀💀

[@CliffordMorris-ls9lc]

I am an honours degree mathematician but I taught many years in primary school ie seven to eleven year olds . I taught top juniors Sine, Cosine by measuring using large cm squared paper to create a circle and using a millimetre ruler to measure the lengths to a reasonable accuracy. A concept can be made simple as in this case to measuring lines and creating basic angles using a protractor.

[@RockingMarcos2013]

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

[@LudusYT]

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.

[@PedroTechnologies]

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]

im guessing you failed

[@PedroTechnologies]

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

[@wilsonchen5346]

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

[@KeeksRL]

@@wilsonchen5346 did you pass

[@gamergary2148]

@@KeeksRL he did not.😊

[@shortie1386]

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

[@Qualkkuno]

Hey, me too!

[@kristinafulton5334]

Same, but 14 hours away

[@mitchellcummings758]

@@kristinafulton5334 How did it go?? the world needs to know

[@bebebewin]

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

[@LudusYT]

Milen Patel - I’m glad it could help!

[@spamaccount1513]

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

[@ahmadm7618]

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

[@samisiddiqi5411]

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

[@EngineermanCullen]

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

[@LudusYT]

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.

[@EngineermanCullen]

@@LudusYT Agreed

[@lbp_chessguy5640]

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

[@LudusYT]

Glad I could help!

[@lbp_chessguy5640]

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

[@nandinisengupta9928]

@@lbp_chessguy5640 great!

[@alanr4845]

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

[@jacobstarr9010]

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.

[@lucielpires705]

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?

[@ilikespaghetti2170]

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

[@stutishah8748]

😂 😂

[@ogtum7969]

Same

[@savytoosaucy3078]

SAME!!!

[@ovidiogarza9387]

Same lol

[@lemonbread6029]

same, its hard

[@dannymartinez2045]

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

[@moosakashif115]

No one asked bro

[@jassonvillasenor3441]

yeah actually same here

[@traviss7740]

No, 100's in both.

[@dannymartinez2045]

@@moosakashif115 ur clearly not in engineering

[@sweetness4j1]

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]

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

[@JamesBrodski]

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

[@trickytricks5119]

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

[@creepyczar6423]

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

[@aaronfraga103]

How'd it go?

[@angrybear26_21]

I’m about to do the same I’m terrified 😫

[@williamgolovlev7541]

@@aaronfraga103 I aced it lol

[@manuelcedillo1305]

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

[@jakeconnolly960]

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

[@gold4963]

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

[@anthonychampagne6239]

Dude I'm so scared. I'm planning on going into engineering

[@catfunt3404]

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

[@LudusYT]

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

[@girth8613]

I begin Calc II in 6 days. LFG!!

[@ghostek7792]

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

[@jesussaquin6266]

What was isaac newton thinking

[@LudusYT]

jesus saquin - lol ikr

[@kruGrockz]

Not about women.

[@hawadrammeh8870]

This was great, thank you so much!

[@joshuaboyum6574]

Oh boy i'm in for it next semester

[@pureroseangemuse7910]

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

[@calebwearscasio]

You did very well! Thank you!

[@xxmemestar69xx82]

DO ONE FOR LINEAR ALGEBRA AND CALCULUS 3!!!

[@bryantye7106]

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

[@nickhatfield1916]

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

[@LScout800]

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

[@rafemorales2681]

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

[@n_1913]

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

[@LudusYT]

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

[@christiannelson5853]

does he have a calculus 2 course???

[@WayOfTheDuck]

“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]

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.

[@ViktorTheRook]

I start calc 2 in a week I cant wait

[@1kike31]

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

[@root-kwt5132]

@@1kike31 lol

[@susanzhu2928]

How was it? Any tips for new students?

[@princesayala8483]

this video is great! Thank u!

[@ryanbrazeal8901]

Appreciate the information

[@dreameronboard5125]

Thanks man

[@farhanhalil9218]

Life savior. Thanks bro.

[@nickhatfield1916]

How important is u substitution in calc 3?

[@annjievalentino7893]

Thanks👍👍👍 alot.

[@LudusYT]

No Problem!!

[@kawthargedi2267]

i need your website

[@mathsstc9046]

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

[@LudusYT]

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!

[@moyinolowoniyi3108]

Really good video

[@LudusYT]

Moyin Olowoniyi - Thanks!

[@ryanwalker2432]

Thanks again :)

[@LudusYT]

Ryan Walker - No problem!

[@billbobbophen]

Here from Calc 1 trying to get ahead for college

[@davida99]

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

[@billbobbophen]

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

[@glegle1016]

@@davida99 bruh same

[@1966lavc]

Good cheat sheet for Calc 2

[@JDMaxton1999]

Would anyone here recommend him over Khan?

[@LudusYT]

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]

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

[@LudusYT]

Glad to hear it!

[@rosatorres4830]

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?

[@Danslam27]

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

[@wavez4224]

University

[@tanhtay6512]

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

[@branm5459]

Such a slog to go through my calc 2 class. I’m watching fucking KZbin 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

[@leen8175]

Great video❤💙

[@rorymackinnon6133]

so Fantastic

[@oceanarmstrong2955]

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

[@CosmicBreadBox]

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]

You've got this homie.

[@cheatyhotbeef2636]

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

[@zentrozzi8245]

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]

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]

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

[@CliffordMorris-ls9lc]

Again Polar Coordinates introduce rSinTheta and rCosTheta with no sign of a circle anywhere.

[@LudusYT]

Hey man, I’m sorry that this video is frustrating you so much. I think you should just move on to a better one rather than still commenting on this one. I don’t have the time to re-record this thing right now, and I will still leave it up bc it has received positive reception from *some* people who have not yet taken Calc 2.

[@samisiddiqi5411]

11:52

[@classicleslie6914]

AAWW HECK NAW!!! 😭

[@ayanaxhye]

🤯

[@assassin3469]

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

[@sexyqueen4481]

hey is this EVERYTHING in calculus 2? 😁

[@LudusYT]

It was for me

[@thisuseristired]

here before the semester will start in 30 minutes ha ha

[@CliffordMorris-ls9lc]

You are moving on and not allowing your fellow students pause to take in what you are saying. Why not present this as you did in boxes but take a bit more time to show where they fit into the course. You seem to take for granted people have done this course and know what you are talking about. The comments that are positive seem to be from those looking back like you and already know what you are talking about. You just gloss over concepts like parametric equations without stopping long enough to explain WHY use them. Similarly partial fractions are just mentioned with not even a simple example of the idea. You could take a very simple fraction and just using A and B explain it. Yes it gets more complicated but the basic idea would make things clearer if you have not met it before,

[@LudusYT]

@@CliffordMorris-ls9lc Appreciate the comment. I made this abt 6 years ago with nothing but the intention to help. I’m not assuming people have taken this course before watching the video. I’m certainly not taking anything for granted. That part of your comment is wrong, but everything else is helpful suggestions and constructive criticism and I thank you for that.