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Quantum Engineering Year 0: Mathematical Foundations Month 2Day 46

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Year 0·Month 2·Week 3

Day 46: Triple Integrals and Applications

Day 46 of 2,016~6 min read

Learning Objectives

•Set up and evaluate triple integrals
•Choose appropriate order of integration
•Compute mass and center of mass
•Calculate moments of inertia
•Apply multiple integrals to physical problems

Today's Schedule (7 hours)

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On this page

1 Definition 2 Iterated Triple Integral 3 General Regions Triple Integral Examples Example 1 Box Region Example 2 Tetrahedron Example 3 Volume Applications of Multiple Integrals 4 Mass 5 Center of Mass 6 Moments of Inertia Application Examples Example 4 Mass of a Solid Example 5 Center of Mass Practice Problems Level 1 Basic Triple Integrals Level 2 Non-Rectangular Level 3 Volume Level 4 Applications Level 5 Moments Answers Quantum Mechanics Connection 3D Normalization Expectation Values Probability in a Region Daily Checklist Preview Tomorrow

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