Find Volume with Square Cross Sections

preview_player
Показать описание
High School Calculus Teacher explains how to find the volume of a solid with square cross sections!

In Calculus, an integral can be used to find the volume of a solid whose base is bounded by the graphs y=x+1 and y=x^2-1 with square cross sections taken perpendicular to the x-axis!

Comment below about any questions or comments you have!

  1. Calculus by Christee
  2. patrickJMT
  3. the organic chemistry tutor
  4. khan academy
  5. calculus help
  6. find the volume of the solid
Рекомендации по теме
Find Volume with 0:08:29

Find Volume with Square Cross Sections

Calculus 2 - 0:08:32

Calculus 2 - Volume with square cross sections (Example 5)

Use calculus to 0:02:28

Use calculus to find the volume of the solid S with the given base and square cross sections

Volume of a 0:07:26

Volume of a Circular Solid with Square Cross-Sections

Calculus 9.2 Volume 0:28:16

Calculus 9.2 Volume by Slicing with Square Cross sections

Volume of a 0:05:13

Volume of a solid with a circular base and square cross sections

Volumes Using Cross 0:11:46

Volumes Using Cross Sections - Calculus

Volumes of Solids 0:08:30

Volumes of Solids Given Square Cross Sections

Class-9th,Surface Areas and 0:14:17

Class-9th,Surface Areas and Volumes || Ex-11.1 Part -2 || New NCERT || CBSE || 2024-25 || MATHCORE |

7.3 - Volumes 0:15:14

7.3 - Volumes with Square Cross Sections

Volumes of Square 0:09:00

Volumes of Square Cross Sections

Volume of an 0:07:00

Volume of an Object with Square Cross Sections

Volumes with Cross-sections: 0:04:51

Volumes with Cross-sections: square xsections between x=y²

Finding Volumes with 0:23:59

Finding Volumes with Integrals: Washer Method, Square Cross Section, Circular Cross Sections

Finding volume with 0:06:36

Finding volume with known cross sections

Volume with cross 0:05:30

Volume with cross sections: intro | Applications of integration | AP Calculus AB | Khan Academy

AP Calculus AB 0:18:44

AP Calculus AB Notes 11-3 “Volumes of Square Cross Sections”

Find volume of 0:10:02

Find volume of solids with square and rectangular cross sections

Applications of Integration: 0:04:37

Applications of Integration: Volumes by cross-section - 02. Example 1, with square cross-sections

Volume By Slices 0:04:08

Volume By Slices Using Desmos: Square Cross-Section

3D square cross 0:04:23

3D square cross sections

28.2: How to 0:06:22

28.2: How to calculate the volume of a solid with square cross-sections | Wellesley College Calc. 2

Volumes of Solids 0:04:48

Volumes of Solids with Known Cross Sections Part 1 | This is how You Rock Calculus!

Volumes with Cross 0:04:08

Volumes with Cross Sections, Squares and Rectangles, Examples - Calculus

Комментарии
Автор

Jazzy piano AND integration in the same video - how much better does it get?!?! Love the mathematical music starting at 4:45 that comes back throughout!!

When I took calc in high school, this was always the topic I struggled with most since I tried too hard to memorize the formulas instead of focusing on the conceptual/visual understanding of what the integration/the process actually accomplishes. This video would have saved me a lot of late nights! 😂 I really like how you spent time graphing not only the two functions but also the red square and explained how our goal is to add up an "infinite amount of squares". You did a great job throughout making that red square a common theme to point back to, even when doing the algebra and the integration. Another AWESOME piece that really stood out to me in this video was your explanation of WHY you found the intersection points of y = x+1 and y = x^2 - 1 - since we needed them for the integral set-up later. Having a preview and a justification of their purpose in the problem was a fantastic addition that really helps see the whole puzzle come together, even from the start!

It's so cool how calc can be used to find volumes of these irregular 3D shapes instead of having to just rely on formulas for cones/spheres/cylinders/etc. It really broadens your perspective and opens your eyes to how fascinating studying 3D objects can be!

This was another fantastic, well-thought-out video from you that was very organized and clear to follow! Thanks for posting these super helpful weekly videos, looking forward to future ones! ...Okay, now I'm off to my piano to try to learn this catchy jazz riff! 😁🎹

camwizemusic