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Area, Volume, and Arc Length

Area, Volume, and Arc Length

Example 1

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around

the x-axis

Example 2

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around

the y-axis

Example 3

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around

the line x = 1

Example 4

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around

the line x = 2

Example 5

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around

the line x = -1

Example 6

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around

the line y = 1

Example 7

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around

the line y = 4

Example 8

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around

the line y = -1

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