Longer Version - Volumes using Disks/Washers

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Longer Version - Volumes using Disks/Washers - In this video I do numerous examples of calculating volumes or regions using the disk/washer method.
For more free math videos, visit PatrickJMT.com

[@georgehanna8768]

The noise in the background is coming from the monster that is responsible for bad grades.

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still waaaayyyy better than my prof.

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+George Hanna They are called satanic electro-farts.

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HAHAHAHAH MAN

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Some say it gets louder when you're watching this the same day as your calc final

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@@ACTlVISION I can confirm

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patrickJMT changed my life

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that should be on a shirt

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PatrickJMT is pulling me up, from the cliff I'm hanging onto with my shirt.

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The important points you made outweighed the horror of that screeching noise. I've been having trouble with units 7.2 and 7.3, now onto your video on the shell method!

[@jeshudastidar]

I usually don't comment on your stuff but truly appreciate it. However, as I'm eating my cereal 6 in the morning and watching this, it clicked in my head. I just have these four words to say, YOU ARE THE BEST! I wish you see this. P.S. I'm trying to learn cal 2 on my own.

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i know im a little late but good luck lol. How'd it go?

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@@grantmarshall6843 Ya howd go Mr.WOng ohh well I go my phd now

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why aren't these people our teachers

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That was deep, man. Well said.

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They are.

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@@Jeremy_Fisher deep^2

[@nodnal1357]

you literally taught me this chapter in an hour, when my calc teacher couldn't do it in a week. you. are. EPIC!!

[@1light4love]

oh Thank God... this gives me hope. First Calc2 exam is on my Birthday Tuesday... right after my first paper is due and first BioChem exam Monday.... HAPPY. BIRTHDAY. ME. *cue Patrick🙌🎉🎂🙏*

[@patrickjmt]

i have quite a few graphing... a vid on basic graphs you should know, along with graph transformations... perhaps those will help! if not, let me know more of what you would like to see.

[@FarrisTX]

You are the best person who can teach math on KZbin PERIOD. Every time I take a class in math or I have to teach someone math I come right to your KZbin Chanel. Keep the great work.

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This channel is by far the best I've found for math tutorials. My calc professor is useless and these videos are currently saving my life. Seriously, i love this dude

[@shafinsarwar6448]

its 2019 and i am watching this...11 years ago you uploaded this video,when i was in class 6,now i am in 4th year of my University level...Thank you sir,your teaching skill is awesome...

[@kayisire9883]

12 years ago and it’s very clear and understandable thank you Patrick

[@jbear395]

6:20 "... kind of look like the tip of a bullet, to use a violent example..." lol

[@patrickjmt]

no, it really just depends on the functions given : ) although if you look at examples from a lot of textbooks, i could see how you would get that impression : )

[@CBeard98]

I don't know how my professor made finding the radius so difficult. You are a great teacher. Thank you

[@patrickmoloney672]

Patrick is so good and fast at explaining maths that he should charge per minute. It takes him 20 min to explain application of integration (volume).

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This guy is amazing! I sit in lecture watching my teacher constantly messing up examples and going off on tangents.. But this guy has made Calculus way more clear!

[@Cascada194]

This is by far more explanatory than the video lessons I use. Thank you.

[@RogerKlauser]

Patrick, thank you so much for all of your help. Your videos have helped me out ever since the beginning of calculus. Mid-term is on Tuesday, and now I feel prepared!

[@iSmileForYouxNot]

Thank you! I didn't realize what I was learning in class was actually pretty easy

[@omardahbali5596]

You are a life savor Pat so Thank you. Two professors along with a friend of mine have tried to explain this to me but I failed to understand it till now.

[@BrownieX001]

This somehow made more sense than anything I have done before. I don't know why maybe it was the whistle but you explain like my professor but I understand you more than him. I did not get these integral application problems until I watched a couple of these videos in the integral playlist. Long time follower and still being confused and then helped by you. Thanks.

[@jumanafathima8853]

Thanks for all the work you put into your videos. You've continued to help me throughout my math in high school and college, and I can't thank you enough!

[@xhelixshotx]

You know you are a good Math teacher when you make everything look easy

[@tinaMONSTUR]

I have a final tomorrow and your videos are really helping me understand the materials. I am very grateful and thankful for them, god bless.

[@jarjarannoya2]

Thanks to you, I was able to skip precalculus completely and go into a very compressed, sped up, and challenging calculus 1 course in a summer semester and come out of it with an A....and I'm in high school!

[@1khoury]

You are great Patrick. Saved my life on almost every ap calc test i've had this year.

[@mudkip6311]

Hi Mr. Patrick, Thank you for your kindness and allowing us to learn from your videos for free. It's useful for many people and I'm very grateful for them. Thank you so much!!

[@patrickjmt]

you are most welcome :)

[@patrickjmt]

@cyborgninja74 yes, you can just find the points of intersection and take a number in-between those, plug it in, see which is larger and which is smaller

[@thriveclub]

You saved my life. If only my teacher explained it this way! Thank you!

[@mr.ode22]

hey man it's been 10 years and you're still the goat for helping me in everything math, i hope you're doing well

[@eggman1112]

youre a beast, I was struggling with this topic for weeks but your video got me through it in 20 minutes, THANK UUUU

[@gibbousm]

i like your videos, just wish I had found them earlier in the semester rather than right before finals but they were great in helping me review.

[@TheMWKH]

I really appreciate your work on making things easier for us to understand. Keep up the good work!

[@patrickjmt]

+Meutia Hakim thanks! I'll do my best! :)

[@ashwins8173]

Thanks so much i found your disk,washer,and shell method explanations with examples very helpful. You explained it better than my teacher !!! :)

[@rookiebluefan]

Thank you so much for making these videos! You're literally helping me survive my calc class!

[@MusicDJz1]

This is a hell of a lot less complicated than the way my calc teacher explained it! I love you soooo much!! xoxo

[@patrickjmt]

all except the one's in my classes... : ) i am glad you find them so useful and of good quality : )

[@Jono.]

Good ole Patrick integrating binaural audio into his videos to help us retain even more!

[@georgeabreu6392]

Skills.

[@sravanibhukya2933]

Great..after watching many videos I got this one ...crystal clear explanation 👌

[@UAa320]

Patrick you're the best, this makes much more sense now thank you so much for explaining this concept.

[@jamesrandall5844]

man your good at explaining these things. I have been watching your videos for Calc 2 and it makes sense to me now due to you. thank you so much

[@malgorzataigras5212]

you are the best Pat - clear, to the point, convincing etc. - all the best from Ireland

[@yashkapoor5894]

This was brilliantly explained. Thank you buddy! Understood this topic in 20 mins! :D

[@accel103]

19:17 confusing?? this was crystal clear jus like all of your videos! thank you

[@MrAlbashiri]

Thank you. You are the best. You explained what my tutors and university couldn't. Love you.

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You are literally the best . You can explain the difficult concepts in such a manner that even a layman can comprehend. Keep making these awesome videos. Much love from India. :)

[@XXKERRAXX]

this was EXTREMELY helpful, tysm, def gonna pass my calc test tomorrow

[@MTB-Josh]

That arrow method to find the inner and outer radius saved me! That was the only part of my next test that I was having a hard time with for some reason. I was looking for a technique and of course you come through! Appreciate it!

[@iMPACTt43w0r1d]

Does anyone else seem to have an easier time learning from Patrick than through your own teacher?

[@lamiah3197]

Thank you so much! That was really helpful for my final exam, you're way better in simplifying it than my professor

[@1230lilyjune]

Patrick you are simply amazing. If i were a college professor, i would attach every link of your video to the syllabus. It will make everyone's life so much easier

[@patrickjmt]

thanks for choosing me first :) glad you like my stuff!

[@happyboy1029]

thank you soooooooooooooo much, you're a life saver. your explanation and view on this is so helpful. my professor over complicates things and makes it harder than it seems to be.

[@mistersirisaacnewton]

i was failing calculus and doing really poorly on the tests, once i started to watch your videos, my test scores went above the class average. Your videos are so helpful!!

[@cheesesandwich12]

I think I speak for many calc students when I say washers are one of the most confusing concepts to learn, but you make it seem so easy and I wonder why I ever had any trouble at all! Thank you so much :)

[@prcushinplaya08]

Wow. I was terribly confused by the whole (8-x) thing, with the distances and such. Incredibly helpful. Thank you.

[@patrickjmt]

my pleasure

[@patrickjmt]

@xshanayy wonderful! : ) glad you like my stuff!

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These types of videos make me hungry for some apple pie or pumpkin pie.

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im really curious now. why pie?

[@dolphinsatsunset1]

Sahfarry because of so much pi. lol

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I just HAD to see this comment in Pi day. In a video with what's essentially circular cross sections.

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I cannot explain how much you help us, I'm sure I can speak for everybody here. Thank you

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So reliable. Thank you for such great videos👍🏻

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[@hsuppu6049]

Thanks a million for your helpful video. I don't have to worry about squeaking through my next calc test next Fri.

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Thank you so much! This really cleared things up for me!

[@patrickjmt]

@Canada9318 dont forget the most important part: work on problems!

[@saladking2370]

I'm so glad you put a negative axis example, I couldn't figure it out

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your videos are the best....very well done

[@bradn1030]

patrick... t-thank you... from the bottom of all our hearts...

[@patrickjmt]

@SolitaryAngel917 yep

[@cokezero2585]

excellent, thank you. Especially that last example.

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11:48 I had an epiphany and everything clicked! Patrick is truly a god among men

[@patrickjmt]

it feels so good when it all of a sudden makes sense! i've had so many of those moments

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you my good sir are an amazing person you made this soo much more simple

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Oh my thank you so much for making this feel much more understandable.

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I enjoy your videos very much. Thank you

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OH MY GOD WHOEVER YOU ARE PatrickJMT THANK YOU! Seriously, my teacher is the worst but his exams are hard. You saved me. Infinite thank yous

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After 1 minute of watching the video, I understood the lesson 😂, Thank you

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Combining forces using khan academy and pjmt is just perfect for this concept

[@609elias]

Definitely a great tutorial. Thank you!

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This helped me so much. Thank you!

[@patrickjmt]

@Canada9318 ok, just making sure : ) it is amazing how many people skip that step so often.

[@fasihz]

Thinking about this in terms of outer and inner radius helped!

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You deserve the most advanced studio!

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You are awesome, Pat.

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THANK YOU

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Damn... why doesn't this guy have a KZbin Partnership already! This guy is more concise than KhanAcademy in some scenarios and this video is one of them.

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best teacher on you tube

[@ferjongew]

Patrick! I do the same! but my list goes: 1) Take useless notes from the class 2) Struggle at home deciphering a 1991 math book my professor wants me to use 3) Realize nothing works 4) Watch PatrickJMT, take notes from him 5) Finally understand the subjects!

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Thank you so much man! Really helped

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God bless this man's soul. Even in 2020 through corona crisis, his videos are the light. I swear the amount of help he's given me. Gives me hope to remain at this university. Man, your videos will help Thousands. If I graduate I will be putting you in my speech.

[@patrickjmt]

ha, happy to help :)

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im so mad I just found this guy during finals week, if I saw your videos earlier I would have an A in AP Calc

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Thank you very much. Your made it much more clear then my Calc 2 teacher!

[@patrickjmt]

@NovaSazoku yea, this video does unfortunately. this is what happens when you are broke (poor equipment) and have no idea how to make videos : ) (that is, this was an earlier video)

[@dukehoops]

This video was extremely helpful, thank you

[@SvetlanaVoda]

Very good explanation, thank you very much

[@amrichbiatch]

dude this video is best ........ keep up the good work