Triple Integrals in Spherical Coordinates

Описание к видео Triple Integrals in Spherical Coordinates

Calculus 3 tutorial video that explains triple integrals in spherical coordinates: how to read spherical coordinates, some conversions from rectangular/polar to spherical, what the integrals mean in terms of volume and mass using a density function, how to set them up, how to find the bounds for integration, and works through examples. Examples that you might see from a typical Calculus 3 course include: mass of a sphere with a given density function, volume inside both a cone and a sphere, and volume inside a cone and below a horizontal plane.
0:00 Introduction to spherical coordinates
4:05 Unit of volume in spherical coordinates
7:03 Example 1 (Mass of a sphere)
14:12 Example 2 (Volume inside cone & sphere)
19:26 Example 3 (Volume inside cone & below plane)
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