- #1

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## Homework Statement

set up a double integral to find the area of the region inside the cardioid r=2-2sin θ and outside the circle r=1.

## Homework Equations

## The Attempt at a Solution

setting the two equations equal to each other, I got theta = pi/6 , 5pi/6

Area= ∫-5pi/6 to pi/6 ∫1 to 2-2sinθ rdrdθ

I am not sure if my bounds for the lower angle is correct or not.

any help is appreciated

here is the graph: