Polar integrals

[limpid parcel]

I was able to fing the bound for the radius 0<=r<=2-cos(theta); however, I am having trouble finding the theta; I suspect it's supposed to be theta in [0,2pi]. However, normally I draw the region in the cartesian plane, but I am completely lost as to how to understand how this looks on the graph. Any help and tips?

[quartz oar]

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[little lichen]

@limpid parcel

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[nocturne wharf]

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