Hello, s7b!

Are you sure you have the right graph?

Find the area of the region common to the interiors of the cardioids;

. .Code:| * | * * * | * * * * *:|:* * *::|::* * *:|:* * - - * - - - - - - - - - - * - - - - - - - - - - * - - * *:|:* * *::|::* * *:|:* * * * * | * * * | * |

Then intersect when: .

The region has four-way symmetry.

We can find the area in Quadrant 1 and multiply by 4.

The integral is: /