Triple Integrals in Cartesian Coordinates | Volume between Surfaces
We can use triple integrals as another method to find the volume of a region. In this example we have a top surface and a bottom surface, two different parabaloids. We write a triple integral that computes the volume between these surfaces. This works much as it did with double or even single integrals. We choose one "nice" direction to integrate first, then the second, then the third. The hardest part is setting the limits of integration appropriately.
****************************************************
YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
►Full Multivariable Calculus Playlist: • Calculus III: Multivariable Calculus ...
****************************************************
Other Course Playlists:
►CALCULUS I: • Calculus I (Limits, Derivative, Integ...
► CALCULUS II: • Calculus II (Integration Methods, Ser...
►DISCRETE MATH: • Discrete Math (Full Course: Sets, Log...
►LINEAR ALGEBRA: • Linear Algebra (Full Course)
***************************************************
► Want to learn math effectively? Check out my "Learning Math" Series:
• 5 Tips To Make Math Practice Problems...
►Want some cool math? Check out my "Cool Math" Series:
• Cool Math Series
****************************************************
►Follow me on Twitter: / treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.
BECOME A MEMBER:
►Join: / @drtrefor
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
Смотрите видео Triple Integrals in Cartesian Coordinates | Volume between Surfaces онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь Dr. Trefor Bazett 12 Декабрь 2019, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 176,389 раз и оно понравилось 4.7 тысяч людям.