Multiple integration

OpenStax

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Double integrals over rectangular regions

1 Volumes and double integrals

2 Properties of double integrals

3 Iterated integrals

4 Applications of double integrals

6 Key equations

Double integrals over general regions

Double integrals in polar coordinates

Triple integrals

1 Integrable functions of three variables

2 Triple integrals over a general bounded region

3 Changing the order of integration

4 Average value of a function of three variables

6 Key equations

Triple integrals in cylindrical and spherical coordinates

1 Review of cylindrical coordinates

2 Integration in cylindrical coordinates

3 Review of spherical coordinates

4 Integration in spherical coordinates

6 Key equations

Calculating centers of mass and moments of inertia

1 Center of mass in two dimensions

2 Moments of inertia

3 Center of mass and moments of inertia in three dimensions

5 Key equations

Change of variables in multiple integrals

Source: OpenStax, Calculus volume 3. OpenStax CNX. Feb 05, 2016 Download for free at http://legacy.cnx.org/content/col11966/1.2

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