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Where Does The Jacobian Come From?
by Carol Braun
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Another Example Of Changing Variables To Simplify The Limits Of Integration
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Example: Using A Jacobian To Simplify The Limits Of Integration In A Double Integral
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Introduction To The Jacobian
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Example: Finding A Volume In Spherical Coordinates (Ex. 4, p. 1042)
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Spherical Volume Element dV
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Review Of Spherical Coordinates
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Example: Triple Integral In Cylindrical Coordinates
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Introduction To Triple Integrals In Cylindrical Coordinates
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Integrating A Function Over A Solid Body; Finding Total Mass From A Density Function
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Volumes Bounded By More Than Two Surfaces
1039 views
Detailed Example: Triple Integral For The Volume Between Two Intersecting Surfaces (Ex. 4c, p. 1031)
1157 views
Using Triple Integrals To Calculate The Volume Between Two Surfaces
1076 views
Introduction To Triple Integrals
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Example: Converting To Polar Coordinates To Find Surface Area (Ex. 3, p. 1022)
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Example: Using Double Integral To Find A Curved Surface Area (Ex. 2, p. 1022)
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Example: Finding The Area Of A Plane Region (Ex. 1, p. 1021)
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Deriving The Double-integral Formula For Surface Area
1040 views
Overview: Using A Double Integral To Find Surface Area
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Finding The Area Enclosed By A Polar Graph (Ex. 4, p. 1008)
943 views
Another Example: Converting An Iterated Integral From Rectangular To Polar Coordinates
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Converting A Double Integral From Rectangular To Polar Coordinates
1073 views
Introduction To Double Integrals In Polar Coordinates
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Example: Using A Double Integral To Find A Volume