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Chapter 08Applications of Integrals

0108.01Derivatives of Integral Functions
0208.02Net Change and Area Between Curves
0308.03Volume by Slicing
0408.04Solids of Revolution: Disk/Washer Method
0508.05Solids of Revolution: Shell Method
0608.06Average Value of a Function
0708.07Arc Length
0808.08Surface Area of Solids of Revolution
0908.09Tricky Integrals
1008.10Calculating Work
1108.11Center of Mass
1208.12Other Physical Applications

Chapter 08 · Applications of Integrals

0108.01Derivatives of Integral Functions
0208.02Net Change and Area Between Curves
0308.03Volume by Slicing
0408.04Solids of Revolution: Disk/Washer Method
0508.05Solids of Revolution: Shell Method
0608.06Average Value of a Function
0708.07Arc Length
0808.08Surface Area of Solids of Revolution
0908.09Tricky Integrals
1008.10Calculating Work
1108.11Center of Mass
1208.12Other Physical Applications

Topics / 08 Applications of Integrals

08.05

Solids of Revolution: Shell Method

Build a solid of revolution from thin cylindrical shells: radius times height times thickness, all around.

About 16 minutes

You'll learn to

→Set up volumes with cylindrical shells
→Find shell radius and height for any axis
→Choose between shells and washers

← 08.04 Solids of Revolution: Disk/Washer Method 08.06 Average Value of a Function →

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