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1. Calculating volumes by slices or cylindrical shells
Volume by slices
The method of disks
The method of cylindrical shells


2. Length and area
The length of the graph of a function
The proof of Lemma 1


3. Applications of the integral in physics
Mass, density and center of mass
Work
Kinetic energy and potential energy


4. Using the integral in probability
The normal distribution


Index.

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