1. Area Between Polar Curves
Section 10.5

2. Rectangular Coordinates
Sketch the area bound by the lines 𝑦=𝑥 and 𝑦=−𝑥+6. Set up an integral to find the area of the region bound by the 2 graphs and the x-axis.

3. Polar Coordinates
Sketch the graphs 𝑟=−6 cos 𝜃 and 𝑟=2−2 cos 𝜃 . Find the area of the region common to the two regions bounded by the curves.

4. Rectangular Coordinates
Sketch the graphs of 𝑦= 𝑥 2 and 𝑦=𝑥. Find the area of the region bounded by these curves.

5. Polar Coordinates Sketch the curves 𝑟=1 and 𝑟=1− cos 𝜃
Find the area of the region that lies inside the circle and outside the cardioid.

6. Examples Find the area of the common interior of 𝑟=3 and 𝑟=6 cos (2𝜃)
Find the area inside the circle but outside the petal graph.
Find the area inside the petal graph but outside the circle.