AdvancedIntegrals

Volume

Overview

Rotate a region around an axis to generate a solid. Use the disk or washer method.

Key Concepts

1

Disk method: V = π ∫ [f(x)]^2 dx

2

Washer method: V = π ∫ ([f(x)]^2 − [g(x)]^2) dx

3

Shell method: V = 2π ∫ x·f(x) dx

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