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Integral Calculus2D

Applications of Integration - Theory & Concepts - Volume Slicing

Exploring the applications of definite integrals: finding the area between curves, calculating the volume of solids of revolution, determining arc length, finding the center of mass, fluid pressure, work, and surface area.

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Solid of Revolution: Visualization of Slices

Disk Method Integral Concept:

V = π ∫ [R(x)]² dx

As the number of slices approaches infinity, the discrete disks/washers perfectly approximate the volume of the solid.