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How is the element of volume expressed in spherical coordinates according to the chapter?

The element of volume in spherical coordinates is expressed as dv = r² sin(θ) dr dθ dφ.

Key points

  • Volume element in spherical coordinates: dv = r² sin(θ) dr dθ dφ
  • r is the radial distance from the origin
  • θ is the polar angle from the positive z-axis
  • φ is the azimuthal angle in the x-y plane
Source:Advanced Engineering Mathematics· Multiple integration 2· p. 651–666

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Cover of Advanced Engineering Mathematics

Advanced Engineering Mathematics

Stroud, K. A, Booth, Dexter J Stroud etc.

4th ed. · Industrial Press, Inc.

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