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The Divergence Theorem

Stokes' Theorem

Surface Integrals of Vector Fields

Surface Integrals of Scalar Functions

Surface Area

Parametric Surfaces

Divergence and Curl

Green's Theorem

Fundamental Theorem of Line Integrals

Line Integrals of Vector Fields

Line Integrals of Scalar Functions

Vector Fields

Transformations and the Jacobian

Cylindrical and Spherical Coordinates

Triple Integrals in Spherical Coordinates

Triple Integrals in Cylindrical Coordinates

Applications of Triple Integrals

Triple Integrals

Center of Mass and Moments of Inertia

Local Extrema and Saddle Points

Volume and Area in Polar Coordinates

Double Integrals in Polar Coordinates

Volume, Area and Average Value using Double Integrals

Double Integrals over General Regions