Triple Integrals in Spherical Coordinates | Calculus 3 Lesson 68 - JK Math

How to Set Up & Evaluate Triple Integrals in Spherical Coordinates (Calculus 3 Lesson 68) ➡️ Download my FREE Multiple Integration Cheat Sheets: https://www.jkmathematics.com/multipl... 🖥️ Membership Site (community & bonus content): https://www.jkmathematics.com/plus 🌐 My Website: https://www.jkmathematics.com ⭐️ Support Me on Patreon:   / jkmath   In this video you will learn how to set up triple integrals in spherical coordinates, rather than rectangular or cylindrical coordinates. You’ll see how approximations would work in spherical, and how it translates to a triple integral. Then you’ll practice setting up and evaluating triple integrals in spherical coordinates with a couple examples. This video series is designed to help students understand the concepts of Calculus 3 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture! Calculus 3 requires a solid understanding of concepts from calculus 2, calculus 1, precalculus, and algebra. This includes limits, differentiation, advanced integration techniques, applications of derivatives and integrals, polar coordinates, parametric equations, trigonometric functions, logarithms, factoring, equation manipulation, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first! Video Chapters: 0:00 Spherical Triple Integrals? (Intro) 1:35 Review of Spherical Coordinates 5:13 From Approximation to Exact 22:55 Summary: Triple Integrals In Spherical Coordinates 25:14 Example: Spherical Region 38:46 Example: Region Between Sphere & Cone 📝 Examples Video:    • Triple Integrals in Spherical Coordinates ...   ⏩ Next Lesson:    • Center of Mass, Moments, & Inertia for 3D ...   📺 Calculus 3 Playlist:    • Calculus 3   📺 Calculus 2 Playlist:    • Calculus 2   📺 Calculus 1 Playlist:    • Calculus 1   ⚡️Math Products I Recommend⚡️ Graphing Calculator: https://amzn.to/3XuUcB9 Non-Graphing Calculator: https://amzn.to/46hHJ7E Financial Calculator: https://amzn.to/3CRe9s4 Graphing Paper: https://amzn.to/46mAfAr College Rule Paper: https://amzn.to/3NOJaTN My Favorite Pencil: https://amzn.to/3NOFMIB My Favorite Erasers: https://amzn.to/3PumUQB Calculus Workbook: https://amzn.to/3r8SnNP ⚡️Textbooks I Use⚡️ Calculus 1 & 2: https://amzn.to/3PzfI5F Calculus 3: https://amzn.to/46rSy76 Financial Mathematics: https://amzn.to/3ppIVW0 Algebra: https://amzn.to/3Eaq1cy (Commissions earned on qualifying purchases) Found this video to be helpful? Consider giving this video a like and subscribing to the channel! Thanks for watching! Any questions? Feedback? Leave a comment! Josh from JK Mathematics #calculus Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.