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Area, Volume, and Arc Length

Area, Volume, and Arc Length

Integrating with Polar Coordinates Examples

Example 1

Find an integral expression for the area of the shaded region.

Example 2

Find an integral expression for the area of the region enclosed by the graph of the polar function

r = sin θ.

Example 3

Find an integral expression for the area of the region in between the graphs r = 2cos θ and r = cos θ.