Applications of Integration - Free Formula Sheet: bit.ly/3ZdKSnK Direct Link to The Full Video: bit.ly/3zqHsOZ Full 54 Minute Video on Patreon: www.patreon.com/MathScienceTutor Calculus 1 Final Exam Review: th-cam.com/video/WmBzmHru78w/w-d-xo.html
I am a chemistry major and have been watching your videos for 2 years. You’ve helped me so much that I believe I have spent more time watching you than in the classroom lol. Thank you for this
How do you enjoy chemistry? I am currently a space science major and considering either a double major for mathematics, chemistry, or biology. I love math but I am also interested in other physical sciences.
@@codymorgan8812 Im double majoring in pure mathematics and physics. Regarding mathematics, you can choose between applied math and pure math. Pure math is a bit more different than applied math, but it is really awesome (at least for me). I encourage you to take an advanced class of whatever major you're interested in (if you can), in order to see which area you enjoy most. Also seeing the roadmaps for each major is helpful
of all the sciences chemistry was my least favorite, and because of that it was one of the hardest. one thing that really helped me to enjoy chemistry over time was applying it to anatomy, and how different medicines and treatments and chemicals set off chain reactions in the human body. just helped me to appreciate chemistry a bit more@@codymorgan8812
2:21 Shell method formula for when y-axis is axis of rotation (1st part when only 1 line vs 2nd part when 2 lines) and 4:26 Shell method formula for when x-axis is axis of rotation (1st part when only 1 line vs 2nd part when 2 lines). Fantastic examples and video!
Sir I'm really thankful to you. I have been struggling lately on these application of integral but ur videos really do help. My teacher is great but sometimes I can't just understand what she's trying to explain that's why I always run to your channel. Thank you Sir, I appreciate what u're doing.
Professor Organic Chemistry Tutor, thank you for an awesome video/ lecture on the Shell Method in Calculus Two. The Shell Method is fairly simple to follow and understand from start to finish. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
Thank you Thank you Thank you. I kept boggling my head trying to understand why my rotations weren't coming out right. No one ever said discretely that rotations about y HAVE to be in terms of x, and vice versa for rotations about x. So so helpful
at 4:25, shouldn't the bottom problem have f(y) and g(y) as the two functions rather than f(x) and g(x)? Were using the shell method and revolving around the x-axis- therefore, we need to integrate with respect to y... right?
it is sad to see cut version here and now the original full upload being patreon exclusive video. (not only this video, many others) :c 10 dollar is bit too much for me (local economy). But still i am pretty much thankful for the videos, for your big effort to teach us, even if they are "necessary" part only :D
at 2:28 it was mentioned a and b are representing x values, but at 6:21, the bounds are labelled as a and b, but the bounds include 1 y value, and 1 x value, so shouldn't the bounds be d and c for the example at 6:21?
Bro, what happened to the old videos the ones that were 45 min and 2 hours long? Every time I wanted to make sure I was on point I used to look at them, stop the video, set up the integral (look at yours) and then go on to the next. Please bring them back.
There is a flaw at the 2:59 mark when rotating around the x-axis. While the radius is described by y and the thickness of the shell is described by dy, the height of the rectangle cannot be measured with this orientation. The method of cylindrical shells does not work here. The method of disks and washers is more versatile, and I also find it easier.
at 3:40 you said when rotating about the x-axis, the radius and height have to be in terms of x but then you expressed them in terms of Y! Confused asf.
I never understood this section during my calc 2 class last semester, thank god most of it wasn't on my final. Btw, will you be uploading calc 3 content?
how do you solve when you rotate the region bounded about some value of y or x axis .....eg ,and rotated about the line x=4, then how do you find the radius ?
Applications of Integration - Free Formula Sheet: bit.ly/3ZdKSnK
Direct Link to The Full Video: bit.ly/3zqHsOZ
Full 54 Minute Video on Patreon: www.patreon.com/MathScienceTutor
Calculus 1 Final Exam Review: th-cam.com/video/WmBzmHru78w/w-d-xo.html
The link on patron doesn't work, I have a subscription.
I am a chemistry major and have been watching your videos for 2 years. You’ve helped me so much that I believe I have spent more time watching you than in the classroom lol. Thank you for this
How do you enjoy chemistry? I am currently a space science major and considering either a double major for mathematics, chemistry, or biology.
I love math but I am also interested in other physical sciences.
@@codymorgan8812 Im double majoring in pure mathematics and physics. Regarding mathematics, you can choose between applied math and pure math. Pure math is a bit more different than applied math, but it is really awesome (at least for me). I encourage you to take an advanced class of whatever major you're interested in (if you can), in order to see which area you enjoy most. Also seeing the roadmaps for each major is helpful
The stuff he covers only cover the really basics of chemistry though
of all the sciences chemistry was my least favorite, and because of that it was one of the hardest. one thing that really helped me to enjoy chemistry over time was applying it to anatomy, and how different medicines and treatments and chemicals set off chain reactions in the human body. just helped me to appreciate chemistry a bit more@@codymorgan8812
When I pass Calc 2 it'll be because of you!
Thanks!
Somehow this guy knew my Calc final was coming up
Your finals are in the beginning of the semester?
@@micahgodsey455 My school had the finals after winter break so yeah
@@easonxiao6169 That sounds horrible
@@micahgodsey455 these things are learned in different intervals, the volume of Revolution is normally chapter 6 but is sometimes introduced sooner
You're a lifesaver, thank you for all these amazing videos!!!
2:21 Shell method formula for when y-axis is axis of rotation (1st part when only 1 line vs 2nd part when 2 lines) and 4:26 Shell method formula for when x-axis is axis of rotation (1st part when only 1 line vs 2nd part when 2 lines). Fantastic examples and video!
Sir I'm really thankful to you. I have been struggling lately on these application of integral but ur videos really do help. My teacher is great but sometimes I can't just understand what she's trying to explain that's why I always run to your channel. Thank you Sir, I appreciate what u're doing.
Fun Fact - His most popular (most-viewed) video is not even about organic chemistry, it's about math lol
Fun fact - no one asked
@@isaacsilva4301your fact kinda sucks tho
So true😂😂
@@isaacsilva4301🤣
You get everything you want even Chemistry, learn to appreciate him for doing this for us all who need help.
Calc Class: ok we are on the topic of the shell method
The Organic Chemistry Tutor: makes this video
The stars: have aligned
Literally same wtf
Calc 2 is usually taught this time of year. He is simply making the video in a time where it will get the most views and bring in the move $$$.
You: are cute
Yes Need information about shell method
I'm going to buy your mug just to support you, you are literally my math savior, how are you so good at explaining things. It's like magic.
Not really, you should go to eddie woo’s channel for real magic
@@marq6325 subjective!
I love your videos!! I’m a Mathematics teacher in Spanish, but now thanks to you, I know how to teach Math in English. Thanks 🎊🎉🎵❤️
Professor Organic Chemistry Tutor, thank you for an awesome video/ lecture on the Shell Method in Calculus Two. The Shell Method is fairly simple to follow and understand from start to finish. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
Wow this was uploaded right when I started volume revolution perfect timing.
I began this week.
Niggas bro
@@Sant270 began on monday lmaooo.
Organic chem gets bitches bro
Thank you Thank you Thank you. I kept boggling my head trying to understand why my rotations weren't coming out right. No one ever said discretely that rotations about y HAVE to be in terms of x, and vice versa for rotations about x. So so helpful
this guy is literally carrying me through my engineering degree
If i could give you a million dollars I would, you are honestly the best at explaining such complicated topics.
i wouldnt
@@beachwave5705 🤣
@@beachwave5705 fr lmao
@@jawadzahid24 why tf would i give someone 1,000,000 fucking dollars
at 4:25, shouldn't the bottom problem have f(y) and g(y) as the two functions rather than f(x) and g(x)? Were using the shell method and revolving around the x-axis- therefore, we need to integrate with respect to y... right?
I have never been wondering how to find the volume when rotating around y axis. I am happy that I have learned a method to do this.
My man just helped me pass university
This dude has been saving my grades for 3 years
at 3:40 radius and height should be in terms of x you say but it's R(y)*h(y)dy
I would marry this man- the way he’s saved my life so many times 😭😭😭
it is sad to see cut version here and now the original full upload being patreon exclusive video. (not only this video, many others) :c 10 dollar is bit too much for me (local economy). But still i am pretty much thankful for the videos, for your big effort to teach us, even if they are "necessary" part only :D
whenever i have trouble, you always seem to know how to explain it well. thank you organic chem tutor
This guys upload quota is insane
you give me hope to keep going... much love, thank you!
Your videos are the best things ever I swear!!!!!
Thanks!
This man is going to get me through college
This guy singlehandedly gets me through college
first 2 minutes in and you already took my professors job.
This guy is better at explaining Calculus than some of my university professors, absolute goat
You explained it very well!
4:00 I do not think f(x) and g(x) can be functions of x. It seems to me that they both fail the vertical line test.
Thank you so much, you have saved me from the wrath of my Calculus II class!
could you explain why the r=x, instead of r=4-x in the first problem?
cant believe it was this easy. absolutely aced a quiz right after watching this thank you man
UR BACK I LOVE U THANK U PLS DO MORE SAT PREP THANKS HAVE A GOOD DAY
how is he back wtf
@@meffed he was on a break for months
Thank you, this really helped me.
14:00 you always come when I need you the most
The GOAT🐐
guys we are getting something from here it not fair not to like this
you dont know how much you mean to me organic chemistry tutor i owe you my life my soul my first child everything 😭😭i might even pass my midterm
yeah i like how all the nessesary complicated stuff is behind a paywall
Are we just gonna ignore the fact that this guy almost knows how to solve all of the problems in math-
Every math teacher know all though lol
i really appreciate your videos. Keep it up!
watching this the night before the calc bc exam am i cooked?
I hope college board blesses up with a question about this, that would be pretty epic
at 2:28 it was mentioned a and b are representing x values, but at 6:21, the bounds are labelled as a and b, but the bounds include 1 y value, and 1 x value, so shouldn't the bounds be d and c for the example at 6:21?
Is the radius for these problems always x
can u do a live stream and live doughts let that new voting thing on youtube decide what topic? (no pressure)like for a live stream
Thanks it helped me a lot
you make it look very easy compared to my prof, goat!
3:06 if I'm tryna find the volume of a cup which do I use rotation on the x axis or the y axis
You are the great man in the world
Where do people like you even come from? Excellent video.
Awsm explanation .. I have a problem in solving height in two figures. But now it's clear❤️❤️❤️
Bro, what happened to the old videos the ones that were 45 min and 2 hours long? Every time I wanted to make sure I was on point I used to look at them, stop the video, set up the integral (look at yours) and then go on to the next. Please bring them back.
He still makes those but they're now on Patreon. I wish I could get the full video but I can't really afford Patreon.
"are you struggling in calculus?" No. im watchin The and i mean THE organic chemistry tutor
I call him the SAVIOR 😊😊😊😊
I thank you so much for breaking this down this one made me want to bash my head in
There is a flaw at the 2:59 mark when rotating around the x-axis. While the radius is described by y and the thickness of the shell is described by dy, the height of the rectangle cannot be measured with this orientation. The method of cylindrical shells does not work here. The method of disks and washers is more versatile, and I also find it easier.
i wish there was more practice but i think i get it enough
where does the 2pi come from here?
Hey! It's 2pi because it's a cylinder. Shell method is for cylinders.
A little late but exactly as laila said, the 2π is basically derived from the formula of a hollow cylinder which is 2πrh
thank you for the great video and effort ❤
Helped me a lot, ty
At 4:26, why didnt you write h(y)= f(y) -- g(y) ??
at 3:32, why are the bounds c to d instead of a to b?
u can name them everything u want…
Yo idk if u read my comment about uploading more calculus 2 in the last video, but if you did thank you.
at 3:40 you said when rotating about the x-axis, the radius and height have to be in terms of x but then you expressed them in terms of Y! Confused asf.
I know you're probably done with this class 😂 but he said if it's the x axis it must be in terms of y you just misheard him
the way the college book explained it was so hard. x being the average radius makes no sense
nevermind i got it
I never understood this section during my calc 2 class last semester, thank god most of it wasn't on my final. Btw, will you be uploading calc 3 content?
It would be an interesting topic to cover, especially on Laplace transform and Z transform.
I think he's uploaded some Calc 3 content in the past.
@@Cipher6i8 Thanks for letting me know! I'll try to find some as a review before the semester starts.
Thanks for everything
So the radius is always=x ?
Love your videos, thank you!!
How do i know whether to use shell method or disk washer 😢😢
okay these are great example for entry level of the topics can you find example using a different axis of rotation
If you use disk method will it give the same answer
wouldn't x*x^3 be concave up on 0
where does one find you to thank you in person?
Thank you so much for this. I really needed this today.
wait im confused are we finding the area of the rectangle or the region without the rectangle???
Where is the 2 coming from at the end? the random two?
Nice teaching
At 4:25, it should say h(y) = f(y)- g(y), not f(x) - g(x)
Why do keep showing almost the exact same scenario. Use different lines for the revolution of the solid for each problem.
Thank you so much.
how do you solve when you rotate the region bounded about some value of y or x axis .....eg ,and rotated about the line x=4, then how do you find the radius ?
Explain to me why we have used 2pi and not just pi like in disk method
Good luck to all, I hope you all get 5’s on your exams :)
thanks, post also videos involving rotation about lines not parallel to x or y axis
Not clear on what R is and how to find it
so good !!!
Hi! What if the Semicircle is from x=-2 to x=2? can we still use the cylindrical shell method?
Sir, which app are you teaching to write here. Can you please share???
There is good app same app he using it’s called (notability)
Thank you
Good afternoon,sir I ask a question
* Write the limitations of disk method, cylindrical shell method and washing method to find a volume*
is r always equal to x?
Does the shell method always have 2pi before the integral, compared to the disk/washer's method of only being 1pi before the integral
yes
Once I graduated, i'll donate alot of shit to this channel
!RemindMe never