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Area, Volume, and Arc Length

Area, Volume, and Arc Length

Assumptions When Finding Area Examples

Example 1

Let R be the region bounded by the graph of y = x2 and the line y = 4. Write an integral expression for the area of R, using

(a) vertical slices

(b) horizontal slices

Example 2

Let R be the region between the graphs , y = x2, and the line x = 4. Write an integral expression for the area of R using horizontal slices.