Volumes Using Cross Sections - Calculus

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This calculus video tutorial explains how to find the volume of a solid using cross sections perpendicular to the x-axis and y-axis consisting of squares, semicircles, rectangles with height three times the base, equilateral triangles, and isosceles right triangles with hypotenuse on the base of the solid and the leg on the x-y plane. This video contains plenty of examples and practice problems including sketches of the graphs and cross sectional areas for you to master the topic. The solutions are shown including how to evaluate the definite integral in terms of x and y.

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The math is not an issue for me, but the way these problems are worded (and this isn't your fault, or my textbook's) is so hard to visualize.

lanog
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3:17 Tutor here, just wanted to say thank you for the idea on how to draw this for my students! I've never seen it depicted this way; it's really very sensible

aabrightlove
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Am really gaining a lot from your tutorials. Thanks a million dear

ibrahimkerah
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This is saving me for the calc test I'm gonna have tmrw. Thank u!

sahilkatta
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Professor Organic Chemistry Tutor, thank you for an excellent video/lecture on Volumes using Cross Sections in Calculus Two. Volumes of a solid using Cross Sections relies heavily on Geometry. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

georgesadler
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Literally the only video that explained this in a way that made any sense of what was happening

acenutella
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you help more than some of my teachers work 👍 you’re great i am going to subscribe

Scummied
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thank you! my textbook explained this HORRIBLY but this clears a lot up

-thesignpainter
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appreciation comment, u have been saving me for the past 5 months in AB calc, thx

leonardomanzotti
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Pls face reveal 🥺🥺 u don't know what you do for us you're one of my best teachers and thankyou may God bless you and your loved ones, ♥️

butterflytobe
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Thanks for helping me clutch up on my assignment! You are truly an angel ❤

Ghost_of_Morisset
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Actual life saver. I was not ready for Calc 2

kiyoshi
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You have helped me alot in math bro. And I say thank you for that, keep doing it bro.❤

MacPowi
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man im having this in my exam tomorrow, thx so much !

omranalkhleefalhamad
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I love this man, the only reason I passed math.

sensei
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Our teacher literally explained nothing and gave us a writing project, let me repeat a writing project on this, and he didn't even explain how to do it. Thank you.

FlatterBaker
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I love you so much Mr. Organic Chemistry Tutor.

denverlevins
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Very helpful video. Thank you so much!

RandomRikster
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Thanks sir.
Wish you will teach other statistical softwares as time goes

jonahgo
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I can not speak this language. I admire those that can. KUDOS to the smart people of the world.

GeminieCricket