Question

trying to find the area of the region inside (x-1)^2 + y^2 =1 and outside x^2+y^2=1 using polar coordinates and double integrals.

Answer 1

Maybe you can try to recognize the shape with the form a^2 + b^2 = 1 and sketch it out.

Answer 2

\[Area=\int\int_RdA=\int\int_R~dx~dy=\int\int_R~r~dr~d\theta\]
Now to figure out these limits...