Application of Integrals: Shell Method



Application of Integrals:

Shell Method

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Exercise 1-7: Sketch the region R bounded by the graphs of the equation, and find the volume of the solid generated if R is revolved about the indicated axis.

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Exercise 8-9: Let R be the region bounded by the graph of the equations. Set up integrals that can be used to find the volume of the solid generated if R is revolved about the given axis using (A) cylindrical shells and (B) disks or washers.

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Exercise 10: Find the volume of the graph rotated about the given line.

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a) the x-axis b) the line [pic]

c) the line [pic] d) the line [pic]

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