Calculus › Section O · Multiple integrals › Topic O.6
Triple integrals
Add a third nest to the integral and flat plates become solids: volumes, masses, balance points and spin-resistance of 3D objects, all from the same pattern you already know.
In this topic
- From plates to solids
- Inside out over a box
- Worked example: a separable box
- Solids between surfaces: find the shadow
- Worked example: a tetrahedron's volume
- Mass and centre of mass of a solid
- Inertia in three dimensions
- Choosing the order of integration
- Common mistakes to avoid
- Key takeaways
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Standards: Beyond AP