The first curve is a 4-leaf rose curve. Set up the integral to find the area shared by the polar curves given by:
I found the points of intersection: . . . . . Good!
The petals at one unit long and are aligned along the ±45° lines.
The second is a circle centered at the origin with radius ½.
We are in Quadrant 1.
We want the area of that petal which is inside the circle.
I'm afraid it takes three integrals . . .
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