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Area, Volume, and Arc Length

Area, Volume, and Arc Length

Example 1

Let R be the region bounded by y = x and y = x2. Find the volume of the solid obtained when R is rotated around the

(a) x-axis

(b) y-axis

Example 2

Let R be the region bounded by y = x and y = x2. Find the volume of the solid obtained by rotating R around

(a) the line y = -1

(b) the line x = 4

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