+frank Escalante and we love that you have chosen this channel to learn from and sub to and appreciate your continued support! Please keep sharing and helping us keep growing:D
Professor RobBob, thank you for a well explained video/lecture on the Area of a Surface of Revolution in Calculus Two. The derivation and explanation of the Area of a Surface of Revolution helps me with understanding this material. The examples/problems are straight forward from start to finish.
+Abdulkasim Akhmedov you're welcome and thanks for choosing this channel to learn from, like and sub to! Please tell all your friends and classmates to watch and do the same:D
WOW you watched all 506 already?!....LOL Thanks for watching, learning, liking and subbing John Erickson ...please tell all your friends & class to do the same:D
Thanks again prof!! u have been lifesaver!, oh by the way the new HD videos and the mic that ure using is just so cool and nice, i love it.....Its so loud and clear:))
You're welcome and thanks for the comment MAX ALTAMIMI...you were the first one to give any feedback about my videos with the mic and I've been using it for a while now. Always good to hear positive feedback from my regular viewers!
I used Trig substitution to take the integral. Will I arrive at the same answer? Not allowed to use graphing calculators on tests. Great Videos, Thank you!!
I must admit I have not done any Trig substitution in a while, so thanks for the question. I started the Trig Substitution process and got to the integral of sec^3(x)dx. Pretend those x's are theta's:) Now from there you will find this page helpful, en.wikipedia.org/wiki/Integral_of_secant_cubed
Problem I have is in my Calc. 2 course, we have a Exam problems that cover z-axis interpretation evaluated on an x integral. But the professor has only covered basic xy examples. I have 0 idea how to approach these.
Hey ProfRobBob. At 23:12 should the denominator be 4x^6 still when you change 1 to 4x^6/4x^6? before you plug into the formula should it be ((x^6)+1/2x^3)^2? Also why did the x^6+1 change to x^6-1 when you plugged it into the formula at 25:20?
I am really going to hate having to pull this video for corrections. I am very sorry for the copy errors. I pre work all these problems of course and check them but this clearly did not transfer to the board correctly. THANK YOU for your help.
Ok, I just spent the last 7 hours grading papers and now I have to write a test for tomorrow so again thank you for your help. I used the CZcams editor to clip out that example. I will reshoot that example in the next couple of days and repost the entire lesson. Not that it is your responsibility, but if you notice a problem with the last example please let me know. I will double check everything again of course but another set of eyes is always helpful!!!
Nice tutorial, but in all the examples you used the wrong formula, I mean you used the formula as revolving about x axis NOT y axis as the problem asked.
I love the fact that you derive the formulas for calculus rather than just giving viewers the fomulas. Youre awesome!
+frank Escalante and we love that you have chosen this channel to learn from and sub to and appreciate your continued support!
Please keep sharing and helping us keep growing:D
its a love - hate relationship for me
Now Closed Captioned #Calculus Area of a Surface of Revolution
Professor RobBob, thank you for a well explained video/lecture on the Area of a Surface of Revolution in Calculus Two. The derivation and explanation of the Area of a Surface of Revolution helps me with understanding this material. The examples/problems are straight forward from start to finish.
Amazing. Can't believe im getting to learn all this as a freshman. Thanks to you!
Whoohooo!
...and YOU taking the time to study and learn:)
Mr. Tarrou brings sunshine to my life
THANKS for watching...please sub and share the sunshine with everyone...BAM!!!
Cool, looking forward to sequences and series videos.
***** thanks for watching, learning, liking and subbing!
This teacher is a boss!!
Amer The Engineer thanks:)
Thank you! We just passed this and are on Taylor series (so interesting!) I will come back before the final for review/recap
Very useful video! Thank you very much! I really appreciate your effort and enjoy watching it!
+Abdulkasim Akhmedov you're welcome and thanks for choosing this channel to learn from, like and sub to!
Please tell all your friends and classmates to watch and do the same:D
Great videos. All of them.
WOW you watched all 506 already?!....LOL
Thanks for watching, learning, liking and subbing John Erickson ...please tell all your friends & class to do the same:D
Why would the r(x) not be the equation of the curve ((-1/2x^2)+8)?
Hi Bob. Is it okay for you to do a video related to the path function and line integral? I really find your videos helpful!!!
Thanks again prof!! u have been lifesaver!, oh by the way the new HD videos and the mic that ure using is just so cool and nice, i love it.....Its so loud and clear:))
You're welcome and thanks for the comment MAX ALTAMIMI...you were the first one to give any feedback about my videos with the mic and I've been using it for a while now. Always good to hear positive feedback from my regular viewers!
I used Trig substitution to take the integral. Will I arrive at the same answer? Not allowed to use graphing calculators on tests. Great Videos, Thank you!!
I must admit I have not done any Trig substitution in a while, so thanks for the question. I started the Trig Substitution process and got to the integral of sec^3(x)dx. Pretend those x's are theta's:) Now from there you will find this page helpful, en.wikipedia.org/wiki/Integral_of_secant_cubed
BAM!! MR Tarrou!
You got it!!!
Thanks for watching and learning from us:)
Don't forget to like, sub and share this channel with everyone...BAM!!!
great Vedio. Helpful and clear
+Li Jerry thanks for liking and learning:)
why do we use frustums here but disks for volume
Problem I have is in my Calc. 2 course, we have a Exam problems that cover z-axis interpretation evaluated on an x integral. But the professor has only covered basic xy examples. I have 0 idea how to approach these.
Your handwriting is so nice
THANKS backdraftvideos ...I have a videos teaching that as well when you need a break from math lessons:)
Please like, SUBSCRIBE and share too:D
Hey ProfRobBob. At 23:12 should the denominator be 4x^6 still when you change 1 to 4x^6/4x^6? before you plug into the formula should it be ((x^6)+1/2x^3)^2? Also why did the x^6+1 change to x^6-1 when you plugged it into the formula at 25:20?
I am really going to hate having to pull this video for corrections. I am very sorry for the copy errors. I pre work all these problems of course and check them but this clearly did not transfer to the board correctly. THANK YOU for your help.
Ok, I just spent the last 7 hours grading papers and now I have to write a test for tomorrow so again thank you for your help. I used the CZcams editor to clip out that example. I will reshoot that example in the next couple of days and repost the entire lesson. Not that it is your responsibility, but if you notice a problem with the last example please let me know. I will double check everything again of course but another set of eyes is always helpful!!!
Is this same as Parametric Surfaces and their Areas?
Sorry..I haven't worked with these for a long time and I'm not sure:(
Asome vidoes
Thanks for watching Ricky Williams !
Cheers!!!
That one model looked like an alien spacecraft.
can sqrt of 1 + x^2 simplified to 1 + x?
No.
Is this calc AB or BC? Or neither?
I have never taught Calculus BC so I am not sure. This topic is not part of Calc AB though:)
This is Calculus II, Chapter 6 depending on what book you use.
Nice tutorial, but in all the examples you used the wrong formula, I mean you used the formula as revolving about x axis NOT y axis as the problem asked.
The algebra steps are little confuse
did he just fart in the beginning of the video????